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MathematicsMathematics
  • Article
  • Open Access

25 September 2023

Exploring Sustainability and Economic Growth through Generation of Renewable Energy with Respect to the Dynamical Environment

,
,
and
1
Department of Mathematics, National Institute of Technology Durgapur, Mahatma Gandhi Avenue, Chakdaha 713209, West Bengal, India
2
Department of Industrial and Management Engineering, Pohang University of Science and Technology, Pohang 37673, Republic of Korea
3
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of Korea
4
Center for Global Health Research, Saveetha Medical College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 600077, Tamil Nadu, India

Abstract

Due to rapid population growth and industrialization, the demand for electrical energy and its consumption has reached a critical point where it is no longer sustainable or stable. Therefore, it is imperative to explore new and reliable energy generation alternatives considering technical and economic perspectives, regardless of whether the community is isolated or urbanized. The research introduces a mixed-integer non-linear programming model of an energy supply chain that combines the roles of a manufacturer and retailer within a dynamic solar energy framework. The study highlights the manufacturer’s significant efforts to sustain itself in a competitive market and emphasizes the importance of government subsidies to support this approach. To meet the demands of a dynamic environment, a non-continuous demand function is utilized to generate and transmit energy at a highly sustainable level, promoting ecological balance. The model’s validity is confirmed through experimental evaluation using two case studies. Furthermore, by increasing the demand by 50%, this study demonstrates the potential for economic growth, resulting in a 20% profit for the manufacturer in the retail sector. This research ensures improved energy efficiency and greener consumption practices and addresses the optimal distribution of renewable energy to minimize imbalances. Finally, it reveals a pathway to sustainable development that promotes technological advancements while minimizing costs, offering a cost-effective scenario for the foreseeable future.

1. Introduction

Meteorological change is the greatest sustainable challenge due to the increased use of electrical energy systems. In addition, energy consumption has huge potential for the rapid growth of industrialization and urbanization procedures. Accordingly, with the rigid and continuous growth of energy consumption, the contradiction between energy distribution and demand will worsen, and the rising energy price will be the largest threat to global security. Most survivors are located in rural regions with minimum income where the access to wiring standards is quite high concerning the expenditure of electric maintenance. The different demographic and societal characteristic addresses the need to meet the energy demand under several regional and non-regional solutions. However, the government keeps price-regulated renewable energy to minimize the cost of electricity generation in the competitive market. The inefficient subsidy methodology has resulted in faulty energy (ENG) use and excessive consumption. Numerous analysts of the ENG industry have long believed that energy efficiency (ENEFF) offers an enormous opportunity through ENG preservation strategies to save and minimize negative expenses associated with ENG utilization. Government intervention encourages ENEFF to enhance the consumption of renewable energy (RE). Additionally, imperfect information provokes consumers and enterprises not to undertake privately profitable investments in ENEFF, which implies investment inefficiency. It deploys the cost-minimization magnitude of ENEFF and actual realization intensity that causes the impression on research questions on production and consumption in ENG. Thus, this study investigates the reasons behind the ENEFF gap and emphasizes utility consistency. It promotes how ENEFF financing interrelates behavioral economics with applicative regions. On the other hand, the lowest price of methodological innovation and development of RE assists from rich to poor due to poor targeting of econometric evaluation, which implies solar energy (SENG) is a poverty mitigation program that aims to append solar capacity in terms of benefit to millions of national or international citizens. It supports solar installation in high-poverty rural villages that may earn an additional income for each household each year. Indeed, its implication based on the sunbeam condition is a primary determinant, whereas the local financial circumstances will be the secondary consideration for the poverty alleviation strategy. In these circumstances, the novel econometric model assesses the effect of green financing, RE, industrial upgradation, and economic development in the research. The minimal investment assists in achieving sustainable development. Thus, the practical application strengthens its intended research objective to minimize rural poverty. However, there is a lack of systematic evaluation in earlier scientific econometric studies. In eliminating the research gap, the scientific mechanism explores the effect of RE installation on poverty alleviation areas, which is the fundamental contribution of this study. Therefore, implementing the non-linear optimization strategy is to gradually be accomplished over time in highly substandard regions to generate sustainable financing.
In recent decades, the random disposal of waste products has affected the surrounding environment directly or indirectly. Keeping the environmental effects, the manufacturer produces green, sustainable products using renewable resources (RRs). The market expectation and customer satisfaction can be met when the operating cost is reduced for better industrialization, resulting in higher demand for RRs than non-renewable resources (NRRs). Appropriate utilization of raw materials and their abundant availability generates ENG. The energy planners can upgrade their procurement planning over the real-time system to sustain the competitive market and utilize renewable energy in a long-term perspective concerning the factors in the logistics environment. Furthermore, the enhancement of ENEFF meets the operational challenges by improving the skill development of laborers under a dynamic energy supply chain (ENSC) environment. As a result, the manufacturer expects to attract more customers according to the higher level of ENEFF under the benefit of the cost-learning effect. A sustainable green ENSC model was designed under social and economic sustainability in Nayak et al. [1]. The model was specially developed for Vietnam’s fashion and retail organizations by keeping environmental awareness, including the force of labor and sustainable materials, and RRs in the future. A sustainable supply chain was developed in Yadav et al. [2] to minimize the waste in the entire chain. That research considered demand as the cross-price elasticity to make the model profitable. They proved that the preservation technology dramatically impacts the environment and economic issues in the entire system. The recurrent gated unit-based methodology was compared with all other forecasting methods in Yang et al. [3] to evaluate the experimental evaluation at the highest accuracy level to formulate energy regulations and design an alternative ENG program. The technology was used to improve prediction accuracy to provide the superiority of conventional prediction trend models. A fuzzy goal programming approach was applied by Kokkinos and Karayannis [4] to evaluate alternative energy forms under tangible and intangible criteria. It estimated multidisciplinary knowledge in a hierarchical analytic manner. The research implemented low-carbon ENG mechanisms to support policy-making procedures and optimized the pair-wise interrelations under predetermined criteria.
Sustainability ensures the fulfillment of the basic requirements for the ENEFF with minimal effect on the environment. It has been observed that some harmful wastes generated during SENG generation affect the ecosystem directly. Greening of ENSC management was developed in Sharma et al. [5], where they focused on the significant impact of the environment. The model introduced several sources of ENG and related challenges. Their model was designed as an alternative source of persistent sustainability in India. Several disruptions were discussed by Emenike and Falcone [6], focusing on a positive impact on ENSC management. It highlighted losses and shortages during shutdowns. The model emphasized the derivation of a resilient ENSC system through optimization techniques. An artificial neural network with fuzzy wavelets was applied to estimate the ENG demand in Iran, which is discussed in Ahmadi et al. [7]. It predicted ENG consumption at a lower level of complexity. The genetic algorithm approach used the consumer planning mechanism to estimate the cost-minimization problem in Ionescu et al. [8]. The total cost of ENG from RRs was affected because ENG production has become more reasonable than other traditional resources. However, focusing on renewable energy (RE) for environmental benefit, every commercial organization is always willing to explore its competitive strategy in developing an integrated ENSC model for environmental awareness. In this context, an effective and successful environment-friendly ENSC management is needed in a particular situation on the RRs along with sustainability in the future. On investigation, SENG can potentially be a suitable ENG solution for future rural areas. It replaces all conventional ENGs and differentiates from the traditional ENG without neglecting the impacts on the life cycle. Due to the fastest expansion of SENG, the number of wastes can be managed and disposed of by effectively keeping the greening level in the environment.
Thus, the scope of this study covers the worldwide development of RE with the challenging form of tough global competition for non-accepting government subsidies. It takes an in-depth look to produce alternative ENG by ignoring the negative impact on the environment. The objective is to determine the performance of using SENG under the economic barriers required to overcome the worldwide RE sector. The research covers producing RE to meet international criteria that analyze the past, current, and future trends by implementing a better, even more beneficial methodology in the world renewable industry.

1.1. Research Gaps

Scientific research enhances the social and environmental concerns to make a long-run constructive energy supply chain. In this regard, the following gaps in research are searched and summarized below:
  • A new alternative ENG generation is sought due to the growing electricity demand with limited capital investment. This study proposes to represent an environmental and economic aspect highlighting the importance of the necessity of the ENG crisis. It helps to reduce the high-cost ENG generation.
  • Sustainability ensures the needs of ENG, and it is highly concerned about the environment. It substitutes an alternative technology in place of conventional ENG. It also bridges the gap between employment and the economy.
  • A huge economic investment is integrated to establish a strong value chain. This study establishes a profitable ENG system to generate abundant RE by reducing the initial economic investment and promises to enhance ENG efficiency globally.

1.2. Contributions

Based on the discussions of perspective, the proposed work considers the following major contributions, which are listed below:
  • RE resources allow unlimited exploration, which does not reduce their availability as long as they are utilized. This research initiates a reliable, low-maintenance operating cost where its effects are safe and non-polluted for overall development. SENG becomes a vital alternative that is economically and environmentally well accepted for isolated areas with a high cost of conventional energy. Sustainability is a novel solution to measure performance through energy generation and consumption.
  • Utilizing a dynamic system is the learning tool for sustainable ENG strategies and environmental awareness. It makes the interaction between socio-environment and economy-oriented ENSC. This study proposes an ENSC in a dynamic environment.
  • SENG plays a substantial role in achieving sustainable development for ENG solutions. Its application always satisfies daily needs and meets the employment market to achieve its growth sufficiently. This research proposes sustainable development by providing ENG needs, employment opportunities, and enhancing environmental protection to draw a vision of future applications by modeling under a green ENSC framework.
  • ENEFF brings an enormous opportunity to enhance the efficiency in every economic sector for SENG generation.

1.3. Orientation of the Research

The next part of this research paper is divided into the following sections. A representation of the literature review of relevant documents is detailed in Section 2. Section 3 defines problem formulation with the solution methodology of the proposed problem. The experimental investigation with its solutions analysis is provided in Section 4. The managerial implication is presented in Section 5. Conclusions and scope for future research based on the proposed study are presented in Section 6.

3. Problem Formulation with Solution Methodology

The proposed problem and the corresponding solution methodology are discussed in this section. Notations and assumptions are given in this section.

3.1. Notation, Assumptions, and Problem Statement

The following notations and assumptions are considered, and the problem statement is defined briefly in this section.

3.1.1. Notation

The following notation has been considered to propose the problem under the ENSC environment, represented by Table 2.
Table 2. Input parameters and decision variables with their descriptions.

3.1.2. Assumptions

The following assumptions are considered in designing the proposed model:
  • The model is developed only for RE resources, which increases environmental awareness by reducing the utilization of NRR.
  • The ENEFF of the product is inspected using a differential function. There are multiple benefits of ENEFF, including impact on climate change, improved health, indoor conditions, security of ENG, and reduction of the price risk for ENG consumers.
  • In this study, non-realistic SENG is not allowed. It provides suitable energy for our houses and environment significantly.
  • Shortages are not allowed as energy is supplied whenever the demand appears.

3.1.3. Problem Statement

Nowadays, the ENG demand keeps increasing because of the upgradation of technologies and the consumption of electrical ENG. Despite these, the carbon footprint concerns the resident who uses the resources. This is why the reduction of this issue is needed to have a healthy environment. RE is a kind of ENG that can gain from natural resources and keep renewing within the lifespan of humans. Furthermore, it provides the benchmark to establish more renewable industries around the globe to minimize the utilization of non-renewable energy resources. In this context, a mixed-integer non-linear programming-based manufacturer–retailer ENSC model is designed to generate sustainable solar energy. This research aims to maximize profit concerning the environmental and economic aspects. It aims to increase household benefits by using green technology in the long run. In a realistic scenario, a residential electricity crisis cannot reach the competitiveness of the ENG market. In these circumstances, an alternative ENG provides a better facility to resolve the ongoing ENG crisis by enhancing its efficiency through minimal expenditure.
In the proposed research, the ENEFF of the product is formulated as a differential function in which x ( t ) is considered an ENEFF improvement variable whose values vary over time. It is more important that when there is no improvement in the efficiency of ENG, at that time, the shortages will begin [2,59]. The depreciation of the product starts during the shortage period. The interrelated machinery equipment automatically falls in the period of shortages. Therefore, the ENEFF improvement expression is written in the following manner,
x ( t ) = θ I ( t ) γ x ( t ) .
The associative cost of ENEFF improvement is formulated by C and is considered a quadratic function that increases over time [33]. The ENEFF improvement cost over time, which is influenced by the manufacturer, is expressed as
C ( I ( t ) ) = μ 2 I 2 ( t ) ; w h e r e μ > 0 .

3.2. Model Formulation

The following considerations are assumed to develop the proposed model.
Electricity generation and distribution from the power plant to the house is represented in Figure 1 using a solar control system. Figure 1a describes the control system of SENG. Then, SENG is generated from the power plant and distributed to houses, designed by the diagram Figure 1b. The household appliances become active using SENG (Figure 1c). In the proposed research, the customer’s demand function is considered non-continuous. The production is influenced by the improvements of ENEFF, and simultaneously, the customers focus on the environmental awareness of the produced products. If the product’s ENEFF exceeds the standard grade x G , it is officially accepted as the higher ENEFF product in the demand market. Otherwise, it is accepted as the under ENEFF product in the demand market [59]. Nowadays, customers increase their attention to the environmental impact of the product. The demand function of highly ENEFF products is expressed in the following manner.
D ( t ) = D 0 α p ( t ) + β [ x ( t ) ] x ( t ) ,
Figure 1. Operating principle of solar energy system and its domiciliary applications: (a) Working principle of solar power system; (b) Generation of energy from power plant to house; (c) Application of solar energy for household needs.
D 0 and α are positive constants representing probable and sensitive market demand with price, respectively. β [ x ( t ) ] represents the piece-wise function of the level of ENEFF improvement of x ( t ) . Therefore, it is formulated as
β [ x ( t ) ] = β 1 ; x ( t ) < x G β 2 ; x ( t ) x G .
In this case, always β 2 > β 1 , i.e., if the ENEFF of a product reaches the level of the standard grade, then the demand for this particular product will increase significantly. Therefore, objective functions are formulated concerning the manufacturer and the retailer as
E M = 0 T [ D ( t ) C ( I ( t ) ) ] d t E R = 0 T p ( t ) D ( t ) d t .
Therefore, the proposed optimization problem can be written as
M a x E M = M a x 0 T [ D ( t ) C ( I ( t ) ) ] d t = M a x 0 T [ D 0 α p ( t ) + β [ x ( t ) ] x ( t ) μ 2 I 2 ( t ) ] d t
and
M a x E R = M a x 0 T p ( t ) D ( t ) d t = M a x 0 T p ( t ) [ D 0 α p ( t ) + β [ x ( t ) ] x ( t ) ] d t
subject to the constraint
x ( t ) = θ I ( t ) γ x ( t ) .
Therefore, the proposed maximization problem of the manufacturer and the retailer can be restated as
M a x 0 T [ D 0 α p ( t ) + β [ x ( t ) ] x ( t ) μ 2 I 2 ( t ) ] d t M a x 0 T p ( t ) [ D 0 α p ( t ) + β [ x ( t ) ] x ( t ) ] d t
subject to the constraint
x ( t ) = θ I ( t ) γ x ( t ) ; w h e r e x ( 0 ) = x 0 .

3.3. Solution Methodology

The computer application reduces computational time and is more progressive with precise, reliable solutions. It replaces human mental activities in real-time computational stages and becomes an alternative approach to a conventional methodology. The study demonstrates the usefulness of modeling, optimizing, and controlling the system complexity in a wide range of applications of SENG. However, Equation (5) is a profit maximization problem for both the manufacturer and retailer in the ENSC environment. It is optimized with the decision variables concerning specific constraints. It is a non-linear programming model. LINGO optimization package 18 is applied as a solution of the non-linear optimization technique to obtain the optimal solutions of the proposed model. Thus, the following two consequent subsections are considered to elaborate the methodology.

3.3.1. Solution Flowchart

A flowchart is a graphical representation of the process following a sequential order. It describes several steps, like the production process and service process. In this section, the sequential steps of the methodology are discussed. The input parameters are initialized according to the proposed problem in the first step. Next, a decision on the lifetime of the SENG panel has been made. If the SENG panel lifetime exceeds the maximum time, then the installation of the SENG panels is not completed. Otherwise, the optimal solutions are obtained. The necessary materials for the SENG installation cannot be collected for the extreme time limit. The ENEFF of the SENG panel is completely lost after a specific time. Therefore, changing the panel after a particular time improves efficiency. The procedure continues until and unless the SENG panel lifetime is equivalent to a certain time. Another decision is held on comparing the obtaining product ENEFF of the manufacturer and the retailer. However, the proposed model’s solution methodology flowchart is represented by Figure 2.
Figure 2. Diagrammatic representation of the proposed ENSC model.

3.3.2. Solution Algorithm

Algorithm 1 is a representation of well-defined instructions. It is used to solve a specific problem or to perform a specific calculation. This subsection defines the sequential steps for solving the proposed problem sequentially by performing the following operations with a certain computation.
Algorithm 1 A representation of well-defined instructions.
Step 1. Input all initial values of parameters in the ENSC environment under the initial time.
Step 2. Equation (4) is utilized to obtain the optimal solution of the manufacturer (EM) and retailer (ER) for ENEFF in the ENSC environment.
Step 3. Solution of the decision variables is obtained by applying the value of EM and ER.
Step 4. An analytic computation is performed using the input variables to obtain the values of the decision variables.

4. Experimental Investigation with Its Solutions Analysis

Discussions about numerical experiments, case studies, and sensitivity analysis are given in this section.

4.1. Numerical Experiment

The proposed research is a profit maximization problem with two objective functions, where the objective functions of the manufacturer and retailer are optimized under a certain constraint of ENEFF expression. LINGO optimization package 18 has been applied as a solution method to obtain the results. The computational time is 0.33 s. The computer has the following specifications: 8 GB RAM, Intel(R) Core(TM)i5, CPU 2.80 GHz, 64-bit, and Windows 11 Home. In the research, the numerical experiment is represented along with two case studies. A sensitivity analysis is performed in this section to understand the proposed problem better.

4.1.1. Experiment on Proposed ENSC Model

The first representation of the proposed problem is to calculate the total market capacity demand on the SENG panel, which is Q = 8000 MW. Here, the lifetime of the SENG panel T = 30 ; co-efficient of ENEFF for product improvement θ = 0.40 ; rate of decaying of the ENEFF of the product γ = 0.01 . Therefore, x ( t ) = 1782 implies that the amount of ENEFF improvement at time t is 1782 MW, and I ( t ) = 450 implies that the effort of a manufacturer for improving ENEFF at time t is 450 MW. The associated cost with ENEFF for the product improvement concerning t by the manufacturer μ = USD 5. The cost of ENEFF for the product improvement at time t, i.e., C ( I ( t ) ) = USD 50,625. α = co-efficient of retailer cost is 45 and β = co-efficient of ENEFF for product improvement is 0.20 . Therefore, the demand at the time t is 6337 MW. The retailer’s cost of the product p ( t ) = USD 2186. The optimal ENEFF of the manufacturer E M and retailer E R is USD 33,948 and USD 29,728, respectively, which implies that the manufacturer gains approximately 12 % more profit than a retailer concerning the ENEFF of the product.

4.1.2. Case Study 1

The problem in designing renewable SENG prevents ENG insecurity [60].
The total market demand capacity on the SENG panel is Q = 6000 MW . Here, the lifetime of the SENG panel T = 25 , the co-efficient of ENEFF for product improvement θ = 0.35 , and the rate of decaying of the ENEFF of the product γ = 0.01 . Therefore, x ( t ) = 1559 implies that the amount of ENEFF improvement at time t is 1559 MW, and I ( t ) = 312 implies that the effort of a manufacturer for improving ENEFF at time t is 312 MW. The associated cost with ENEFF for the product improvement concerning t by the manufacturer μ = USD 6. The cost of ENEFF for the product improvement at time t, i.e., C ( I ( t ) ) = USD 30,750. α = co-efficient of the retailer’s cost is 40, and β = co-efficient of ENEFF for product improvement is 0.25 . Therefore, the demand at the time t is 5939 MW. The retailer’s product cost p ( t ) = USD 2000. The optimal ENEFF of the manufacturer E M and retailer E R is USD 29,621 and USD 26,781, respectively, which implies that the manufacturer gains approximately 10 % more profit than the retailer concerning the ENEFF of the product.

4.1.3. Case Study 2

The problem in designing for the production of green ENSC is examined using SENG [61].
The total market demand capacity on the SENG panel is Q = 5000 MW. Here, the lifetime of the SENG panel T = 25 ; co-efficient of ENEFF for product improvement θ = 0.30 ; rate of decaying of the ENEFF of the product γ = 0.02 . Therefore, x ( t ) = 1376 implies that the amount of ENEFF improvement at time t is 1376 MW, and I ( t ) = 312 implies that the effort of a manufacturer for improving ENEFF at time t is 312 MW. The associated cost with ENEFF for the product improvement concerning t by the manufacturer μ = USD 4. The cost of ENEFF for the product improvement at time t, i.e., C ( I ( t ) ) = USD 19,469. α = co-efficient of the retailer’s cost is 50, and β = co-efficient of ENEFF for product improvement is 0.30 . Therefore, the demand at the time t is 4430 MW. The retailer’s product cost p ( t ) = USD 1900. The optimal ENEFF of the manufacturer E M and retailer E R is USD 25,702 and USD 24,050, respectively, which implies that the manufacturer gains approximately 6 % more profit than a retailer concerning the ENEFF of the product.

4.1.4. Sensitivity Analysis

In the proposed research, a sensitivity analysis is made on the parameter variations and the reflection on decision variables, which is summarized in the following manner in Table 3.
Table 3. Sensitivity analysis for efficiency of SENG.
  • The effort of a manufacturer to improve ENEFF increases with the changes in initial parameters. It is observed that nearly 14% of the effort gradually increased.
  • The demand for the product gradually increased with the improvement of ENEFF in the ENSC model. The market demand is increased by more than 50%.
  • The retailer’s cost increases with the slight parameter changes in the ENSC model.
  • The value of ENEFF of the manufacturer E M and retailer E R increases or decreases are fully dependent on the effort of a manufacturer to improve ENEFF and the product’s market demand. It increases by about 16% to 25%.
In this context, Figure 3a–c represent the sensitivity analysis on the changes of input parameters of the ENSC model. Graphs represent the manufacturer’s effort to improve the ENEFF, retailer cost, market demand of the product, ENEFF of the manufacturer, and ENEFF of the retailer, respectively. However, Figure 3 investigates that the value of decision variables increases with the input parameters’ increasing value. Similarly, it is observed that the value of decision variables is decreased concerning the decreasing rate of input parameters. Therefore, graphs indicate that the decision variables’ value is highly proportionate with the input parameters of the ENSC model.
Figure 3. Various approaches of sensitivity investigation under ENSC environment: (a) Sensitivity of manufacturer effort; (b) Sensitivity of retailing product cost; (c) Sensitivity analysis of product demand.
Accordingly, Figure 4a,b represent optimal solutions of ENEFF of the manufacturer and retailer under the ENSC environment, whereas Figure 4c represents the graph by comparing the ENEFF of the manufacturer and the ENEFF of the retailer. Therefore, Figure 4 estimates that the manufacturer achieves more profit than the retailer on the SENG panel installation for the proposed problem. Thus, a sensitivity analysis is performed on energy effort versus energy efficiency, represented by Figure 3 and Figure 4.
Figure 4. Sensitivity investigation on economic benefit of overall energy system: (a) Sensitivity of manufacturer optimal energy efficiency; (b) Sensitivity of retailer optimal energy efficiency; (c) Sensitivity comparison between manufacturer and retailer under optimism.

4.2. Results and Discussions

This section analyzes results obtained from numerical experiments. According to the experimental solution, the parameter θ lies between 0.35 and 0.45, and α and β lie between 40 to 49 and 0.20 to 0.35, respectively. The value lies between 0.01 to 0.02 and 4.8 to 5.5 for the parameter γ and μ , respectively. In the proposed research, all solutions are obtained using the optimization technique, and finally, a comparative study is made, which is discussed in the following manner:
  • The value of decision variables of the manufacturer’s effort to improve ENEFF ( I ( t ) ), retailer product cost ( p ( t ) ), product demand over time ( D ( t ) ), optimal ENEFF of the manufacturer ( E M ), and optimal ENEFF of the retailer ( E R ) vary concerning the variations of input parameters accordingly. It is observed that the values of the decision variables have increased by increasing the value of the parameters. The optimal profit of the manufacturer is obtained by about 25% to 35% than the retailer due to the SENG installation. Therefore, the analysis ensures that the ENEFF is more profitable for the SENG panel installation.
  • In the experimental analysis, it is observed that the product demand is strongly dependent on the total market capacity. The product demand ( D ( t ) ) obtained from the proposed problem is 6337 MW concerning the total market capacity of 8000 MW and 5939 MW, and 4430 MW from two case studies concerning the total market capacity 6000 MW and 5000 MW, respectively. There are nearly 9% and 29% more demand for the product from the proposed problem than the case studies. Thus, the product demand increases or decreases concerning the total market capacity of the product. Hence, the demand is highly proportionate to the total market capacity of the product.
  • The manufacturer’s effort ( I ( t ) ) is increased by about 30% due to the enhancement of ENEFF compared to the two case studies.
  • The retailer’s product cost ( p ( t ) ) is obtained from the proposed problem as USD 2186 and USD 2000, and USD 1900 from two case studies, respectively, which is by about 9% and 13% reduced than the proposed research, comparatively.
  • Optimal ENEFF for the manufacturer ( E M ) are USD 33,948, USD 29,621, and USD 25,702 are obtained from the proposed problem and two case studies, respectively, which analyze the research study. It is by about 13% and 24% higher than the two cases comparatively. Similarly, the optimal ENEFF for the retailer ( E R ) is USD 29,728, USD 26,781, and USD 24,050 obtained from the proposed problem and two case studies, respectively which analyze nearly 10% and 19% higher than the two cases comparatively. Therefore, the analysis confirms that ENEFF for the manufacturer can produce more profit-oriented and customer-acceptable products by keeping environmental awareness than the retailer.
  • In the sensitivity analysis, it is observed that the profit of the manufacturer and retailer gradually increased concerning the increment of input parameters, and its effect is shown in some other parameters in optimal cases. The generation of RE provides nearly 40% more benefit than the generation of non-renewable energy. Hence, the manufacturer achieves nearly 35% more benefit than the retailer to generate SENG comparatively.
Therefore, after the numerical analysis and comparative study, it is summarized that the proposed problem is more beneficial than the two case studies during increasing product demand. The total market capacity is always greater than the total demand for the product. Otherwise, it falls on the shortage scenarios. But, the research is not concerned about the shortages. However, it emphasizes an SENG framework that maintains sustainability and environmental awareness. The study reveals that without government intervention, SENG generation can achieve a satisfactory level by ignoring all negative issues. The experimental evaluation ensures by about 5% to 15% profit can be obtained from the manufacturer compared to the retailer. Thus, it is concluded that the manufacturer problem is more suitable and profitable for the SENG panel installation.

5. Managerial Implications

Green ENG has become a new commercial potential. Our empirical findings establish a standardized business essential SENG model for both on-grid and off-grid scenarios, which benefits every country. All the restrictions should be removed for producing sustainable SENG to develop solar resources economically. However, photovoltaic manufacturing produces less toxic and hazardous products that never affect the environment. Therefore, SENG is less affected by pollutants than other ENG resources. However, it highly depends on expertise and improved technology. In this proposed research, a profitable SENG is utilized in cities and urban areas irrespective of the characteristics of buildings geometrically. However, the model has the following managerial impacts.
  • Impact 1. Beneficial needs of SENG provide a supportive policy to enhance the ENG. It maximizes the co-benefits resulting from supporting ENG access. A well-developed system fulfills the basic and important opportunities in a crisis.
  • Impact 2. Developing a solar power setup is an excellent solar electrification project in the national and international regions. The solar photovoltaic electrification system has emerged in these areas nowadays. The evolution of infrastructure for solar power systems is the better methodological option for solving the power crisis. SENG provides customer comfort to some extent and contributes to the economy. Thinking and planning regarding the SENG system to determine a positive outcome for self-employment and increasing the workforce is essential to sustain financial benefits. A job opportunity is created where solar technicians provide post-sales service to the consumer and educate them on operating and maintaining the solar equipment. Thus, employment opportunities can increase for family earnings. The government provides training programs for technical skills to expand its services in urban areas.
  • Impact 3. ENG consumption provides an alternative economical solution for ENG providers. SENG is the constant generation of ENG in a real consumption situation, enabling change in the management transition decision.
  • Impact 4. High manufacturing cost affects the price of SENG cells. If the assistance charge increases, then a minimum number of installations occurs; if it decreases, a powerhouse is installed for efficiency purposes. In this regard, there is a chance to improve the efficiency of the ENSC model.
  • Impact 5. A profit-oriented SENG photovoltaic system with innovative constructions and improved methodologies provides environmental awareness in the system. Minimization of waste and recycling are the most favorable solutions to recommend the impacts on environmental resources technologically.

Author Contributions

Conceptualization, B.S.; Methodology, S.B.; Formal analysis, M.S.; Investigation, M.S.; Resources, L.T.; Writing—original draft, S.B.; Visualization, L.T.; Supervision, B.S.; Funding acquisition, B.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this research.

Abbreviations

ENGEnergy
ENSCEnergy Supply Chain
ENEFFEnergy Efficiency
SENGSolar Energy
RRRenewable Resources
NRRNon-Renewable Resources
RERenewable Energy

References

  1. Nayak, R.; Akbari, M.; Far, S.M. Recent sustainable trends in Vietnam’s fashion supply chain. J. Clean. Prod. 2019, 225, 291–303. [Google Scholar] [CrossRef]
  2. Yadav, D.; Kumari, R.; Kumar, N.; Sarkar, B. Reduction of waste and carbon emission through the selection of items with cross-price elasticity of demand to form a sustainable supply chain with preservation technology. J. Clean. Prod. 2021, 297, 126298. [Google Scholar] [CrossRef]
  3. Yang, C.H.; Chen, B.H.; Wu, C.H.; Chen, K.C.; Chuang, L.Y. Deep Learning for Forecasting Electricity Demand in Taiwan. Mathematics 2022, 10, 2547. [Google Scholar] [CrossRef]
  4. Kokkinos, K.; Karayannis, V. Supportiveness of low-carbon energy technology policy using fuzzy multicriteria decision-making methodologies. Mathematics 2020, 8, 1178. [Google Scholar] [CrossRef]
  5. Sharma, D.; Sharma, J.K.; Srivastava, B.K.; Sinha, S. Usage of solar over nuclear as an alternate energy source in support of green & sustainable supply chain practices in India. Turkish J. Comput. Math. Edu. 2021, 2, 4572–4581. [Google Scholar]
  6. Emenike, S.N.; Falcone, G. A review on energy supply chain resilience through optimization. Renew. Sustain. Energy Rev. 2020, 134, 110088. [Google Scholar] [CrossRef]
  7. Ahmadi, M.; Soofiabadi, M.; Nikpour, M.; Naderi, H.; Abdullah, L.; Arandian, B. Developing a deep neural network with fuzzy wavelets and integrating an inline PSO to predict energy consumption patterns in urban buildings. Mathematics 2022, 10, 1270. [Google Scholar] [CrossRef]
  8. Ionescu, L.-M.; Bizon, N.; Mazare, A.-G.; Belu, N. Reducing the cost of electricity by optimizing real-time consumer planning using a new genetic algorithm-based strategy. Mathematics 2020, 8, 1144. [Google Scholar] [CrossRef]
  9. Singh, S.K.; Chauhan, A.; Sarkar, B. Sustainable biodiesel supply chain model based on waste animal fat with subsidy and advertisement. J. Clean. Prod. 2023, 382, 134806. [Google Scholar] [CrossRef]
  10. Mafakheri, F.; Nasiri, F. Modeling of biomass-to-energy supply chain operations: Applications, challenges and research directions. Energy Polic. 2014, 67, 116–126. [Google Scholar] [CrossRef]
  11. Sarkar, B.; Debnath, A.; Chiu, A.S.F.; Ahmed, W. Circular economy-driven two-stage supply chain management for nullifying waste. J. Clean. Prod. 2022, 339, 130513. [Google Scholar] [CrossRef]
  12. Mishra, U.; Wu, J.Z.; Sarkar, B. Optimum sustainable inventory management with backorder and deterioration under controllable carbon emissions. J. Clean. Prod. 2021, 279, 123699. [Google Scholar] [CrossRef]
  13. Tayyab, M.; Jemai, J.; Lim, H.; Sarkar, B. A sustainable development framework for a cleaner multi-item multi-stage textile production system with a process improvement initiative. J. Clean. Prod. 2020, 246, 119055. [Google Scholar] [CrossRef]
  14. Hasan, M. Sustainable supply chain management practices and operational performance. Am. J. Ind. Bus. Manag. 2013, 3, 26787. [Google Scholar] [CrossRef]
  15. Moayedi, H.; Mosavi, A. An innovative metaheuristic strategy for solar energy management through a neural networks framework. Energies 2021, 14, 1196. [Google Scholar] [CrossRef]
  16. Mastrocinque, E.; Ramirez, F.J.; Honrubia-Escribano, A.; Pham, D.T. An AHP-based multi-criteria model for sustainable supply chain development in the renewable energy sector. Expert Syst. Appl. 2020, 150, 113321. [Google Scholar] [CrossRef]
  17. Tian, X.; Sarkis, J. Expanding green supply chain performance measurement through emergy accounting and analysis. Int. J. Prod. Econ. 2020, 25, 107576. [Google Scholar] [CrossRef]
  18. Saavedra, M.M.R.; Fontes, D.H.O.; Freires, F.G.M. Sustainable and renewable energy supply chain: A system dynamics overview. Renew. Sustain. Energy Rev. 2018, 82, 247–259. [Google Scholar] [CrossRef]
  19. Banyai, T. Real-time decision making in first mile and last mile logistics: How smart scheduling affects energy efficiency of hyperconnected supply chain solutions. Energies 2018, 11, 1833. [Google Scholar] [CrossRef]
  20. Filippo, J.D.; Karpman, J.; DeShazo, J.R. The impacts of policies to reduce CO2 emissions within the concrete supply chain. Cem. Concr. Compos. 2019, 101, 67–82. [Google Scholar] [CrossRef]
  21. Ransikarbum, K.; Chanthakhot, W.; Glimm, T.; Janmontree, J. Evaluation of sourcing decision for hydrogen supply chain using an integrated multi-criteria decision analysis (MCDA) tool. Resources 2023, 12, 48. [Google Scholar] [CrossRef]
  22. Osman, A.I.; Chen, L.; Yang, M.; Msigwa, G.; Farghali, M.; Fawzy, S.; Rooney, D.W.; Yap, P.S. Cost, environmental impact, and resilience of renewable energy under a changing climate: A review. Environ. Chem. Lett. 2023, 21, 741–764. [Google Scholar] [CrossRef]
  23. Jelti, F.; Allouhi, A.; Buker, M.S.; Saadani, R.; Jamil, A. Renewable power generation: A supply chain perspective. Sustainability 2021, 13, 1271. [Google Scholar] [CrossRef]
  24. Alkhuzaim, L.; Zhu, Q.; Sarkis, J. Evaluating emergy analysis at the Nexus of circular economy and sustainable supply chain management. Sustain. Prod. Consump. 2021, 25, 413–424. [Google Scholar] [CrossRef]
  25. Bouabidi, Z.; Katebah, M.A.; Hussein, M.M.; Shazed, A.R.; Al-Musleh, E.I. Towards improved and multi-scale liquefied natural gas supply chains: Thermodynamic analysis. Comput. Chem. Eng. 2021, 151, 107359. [Google Scholar] [CrossRef]
  26. Patel, M.; Kim, S.; Nguyen, T.T.; Kim, J.; Wong, C.P. Transparent sustainable energy platform: Closed-loop energy chain of solar-electric-hydrogen by transparent photovoltaics, photo-electro-chemical cells and fuel system. Nano Energy 2021, 90, 106496. [Google Scholar] [CrossRef]
  27. Sampaio, P.G.V.; Gonzalez, M.O.A. Photovoltaic solar energy: Conceptual framework. Renew. Sustain. Energy Rev. 2017, 74, 590–601. [Google Scholar] [CrossRef]
  28. Pan, S.Y.; Du, M.A.; Huang, I.T.; Liu, I.H.; Chang, E.E.; Chiang, P.C. Strategies on implementation of waste-to-energy (WTE) supply chain for circular economy system: A review. J. Clean. Prod. 2015, 108, 409–421. [Google Scholar] [CrossRef]
  29. Garcia, D.J.; You, F. Supply chain design and optimization: Challenges and opportunities. Comput. Chem. Eng. 2015, 81, 153–170. [Google Scholar] [CrossRef]
  30. Dadhich, P.; Genovese, A.; Kumar, N.; Acquaye, A. Developing sustainable supply chains in the UK construction industry: A case study. Int. J. Prod. Econ. 2015, 164, 271–284. [Google Scholar] [CrossRef]
  31. Matsuo, T. Fostering grid-connected solar energy in emerging markets: The role of learning spillovers. Energy Res. Soc. Sci. 2019, 57, 101227. [Google Scholar] [CrossRef]
  32. Verma, D.; Dixit, R.V.; Singh, K. Green supply chain management: A necessity for sustainable development. IUP J. Supply Chain Manag. 2018, 15, 40–58. [Google Scholar]
  33. Mridha, B.; Pareek, S.; Goswami, A.; Sarkar, B. Joint effects of production quality improvement of biofuel and carbon emissions towards a smart sustainable supply chain management. J. Clean. Prod. 2023, 386, 135629. [Google Scholar] [CrossRef]
  34. Zhang, Q.; Tang, W.; Zhang, J. Green supply chain performance with cost learning and operational inefficiency effects. J. Clean. Prod. 2015, 112, 3267–3284. [Google Scholar] [CrossRef]
  35. Li, C.Z.; Umair, M. Cost, Does green finance development goals affects renewable energy in China. Renew. Energy. 2023, 203, 898–905. [Google Scholar] [CrossRef]
  36. Razzaq, A.; Sharif, A.; Ozturk, I.; Skare, M. Asymmetric influence of digital finance, and renewable energy technology innovation on green growth in China. Renew. Energy 2023, 202, 310–319. [Google Scholar] [CrossRef]
  37. Vazifeh, Z.; Mafakheri, F.; An, C. Biomass supply chain coordination for remote communities: A game-theoretic modeling and analysis approach. Sustain. Cities Soc. 2021, 69, 102819. [Google Scholar] [CrossRef]
  38. Lo, S.L.Y.; How, B.S.; Teng, S.Y.; Lam, H.L.; Lim, C.H.; Rhamdhani, A.M.; Sunarso, J. Stochastic techno-economic evaluation model for biomass supply chain: A biomass gasification case study with supply chain uncertainties. Renew. Sustain. Energy Rev. 2021, 151, 111644. [Google Scholar] [CrossRef]
  39. Almarshoud, A.F.; Adam, E. A transition toward localizing the value chain of photovoltaic energy in Saudi Arabia. Clean Tech. Environ. Policy 2021, 23, 2049–2059. [Google Scholar] [CrossRef]
  40. Iqbal, M.W.; Kang, Y. Waste-to-energy supply chain management with energy feasibility condition. J. Clean. Prod. 2021, 291, 125231. [Google Scholar] [CrossRef]
  41. Aranguren, M.; Castillo-Villar, K.K.; Aboytes-Ojeda, M. A two-stage stochastic model for co-firing biomass supply chain networks. J. Clean. Prod. 2021, 319, 128582. [Google Scholar] [CrossRef]
  42. Jing, R.; Wang, J.; Shah, N.; Guo, M. Emerging supply chain of utilising electrical vehicle retired batteries in distributed energy systems. Adv. Appl. Energy 2021, 1, 100002. [Google Scholar] [CrossRef]
  43. Habib, M.S.; Asghar, O.; Hussain, A.; Imran, M.; Mughal, M.P.; Sarkar, B. A robust possibilistic programming approach toward animal fat-based biodiesel supply chain network design under uncertain environment. J. Clean. Prod. 2021, 278, 122403. [Google Scholar] [CrossRef]
  44. Morcillo, J.D.; Angulo, F.; Franco, C.J. Simulation and analysis of renewable and nonrenewable capacity scenarios under hybrid modeling: A case study. Mathematics 2021, 9, 1560. [Google Scholar] [CrossRef]
  45. Kar, S.K.; Sharma, A.; Roy, B. Solar energy market developments in India. Renew. Sustain. Energy Rev. 2016, 62, 121–133. [Google Scholar] [CrossRef]
  46. Kiriyama, E.; Kajikawa, Y. A multilayered analysis of energy security research and the energy supply process. Appl. Energy 2014, 123, 415–423. [Google Scholar] [CrossRef]
  47. Dawn, S.; Tiwari, P.K.; Goswami, A.K.; Mishra, M.K. Recent developments of solar energy in India: Perspectives, strategies and future goals. Renew. Sustain. Energy Rev. 2016, 62, 215–235. [Google Scholar] [CrossRef]
  48. Yenipazarli, A. To collaborate or not to collaborate: Prompting upstream eco-efficient innovation in a supply chain. Eur. J. Oper. Res. 2017, 260, 571–587. [Google Scholar] [CrossRef]
  49. Neagu, B.-C.; Ivanov, O.; Grigoras, G.; Gavrilas, M. A new vision on the prosumers energy surplus trading considering smart peer-to-peer contracts. Mathematics 2019, 8, 235. [Google Scholar] [CrossRef]
  50. Wang, M.; Lian, S.; Yin, S.; Dong, H. A three-player game model for promoting the diffusion of green technology in manufacturing enterprises from the perspective of supply and demand. Mathematics 2020, 8, 1585. [Google Scholar] [CrossRef]
  51. Centobelli, P.; Cerchione, R.; Esposito, E. Environmental sustainability and energy-efficient supply chain management: A review of research trends and proposed guidelines. Energies 2018, 11, 275. [Google Scholar] [CrossRef]
  52. Saxena, N.; Sarkar, B.; Wee, H.M.; Reong, S.; Singh, S.R.; Hsiao, Y.L. A reverse logistics model with eco-design under the Stackelberg-Nash equilibrium and centralized framework. J. Clean. Prod. 2023, 387, 135789. [Google Scholar] [CrossRef]
  53. Yan, B.; Somma, M.D.; Bianco, N.; Luh, P.B.; Graditi, G.; Mongibello, L.; Nasco, V. Exergy-based operation optimization of a distributed energy system through the energy-supply chain. Appl. Therm. Eng. 2016, 101, 741–751. [Google Scholar] [CrossRef]
  54. Khatoon, A.; Verma, P.; Southernhood, J.; Massey, B.; Corcoran, P. Blockchain in energy efficiency: Potential applications and benefits. Energies 2019, 12, 3317. [Google Scholar] [CrossRef]
  55. Jraisat, L.; Hattar, C. The awareness of renewable energy efficiency for supply chain management. Organ. Stud. Innov. Rev. 2017, 3, 1–5. [Google Scholar]
  56. Saif, Y.; Almansoori, A. A capacity expansion planning model for integrated water desalination and power supply chain problem. Energy Convers. Manag. 2016, 122, 462–476. [Google Scholar] [CrossRef]
  57. Fan, J.L.; Kong, L.S.; Zhang, X.; Wang, J.D. Energy-water Nexus embodied in the supply chain of China: Direct and indirect perspectives. Energy Convers. Manag. 2019, 183, 126–136. [Google Scholar] [CrossRef]
  58. Dehghani, E.; Jabalameli, M.S.; Jabbarzadeh, A.; Pishvaee, M.S. Resilient solar photovoltaic supply chain network design under business-as-usual and hazard uncertainties. Comput. Chem. Eng. 2018, 111, 288–310. [Google Scholar] [CrossRef]
  59. Saha, S.; Chatterjee, D.; Sarkar, B. The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm. J. Retail. Consum. Serv. 2021, 58, 102326. [Google Scholar] [CrossRef]
  60. Iram, R.; Anser, M.K.; Awan, R.U.; Ali, A.; Abbas, Q.; Chaudhry, I.S. Prioritization of renewable solar energy to prevent energy insecurity: An integrated role. Singap. Econ. Rev. 2021, 66, 391–412. [Google Scholar] [CrossRef]
  61. Khan, M.A.; Shankiti, A.; Ziani, A.; Idriss, H. Demonstration of green hydrogen production using solar energy at 28% efficiency and evaluation of its economic viability. Sustain. Energy Fuels 2021, 5, 1085–1095. [Google Scholar] [CrossRef]
  62. Li, J. Evaluation of dynamic growth trend of renewable energy based on mathematical model. Energy Rep. 2023, 9, 48–56. [Google Scholar] [CrossRef]
  63. Sala, D.; Bashynska, I.; Pavlova, O.; Pavlov, K.; Chorna, N.; Chornyi, R. Investment and innovation activity of renewable energy sources in the electric power industry in the south-eastern region of Ukraine. Energies 2023, 16, 2363. [Google Scholar] [CrossRef]
  64. Mochi, P.; Pandya, K.; Soares, J.; Vale, Z. Optimizing power exchange cost considering behavioral intervention in local energy community. Mathematics 2023, 11, 2367. [Google Scholar] [CrossRef]
  65. Riaz, M.; Farid, H.M.A.; Jana, C.; Pal, M.; Sarkar, B. Efficient city supply chain management through spherical fuzzy dynamic multistage decision analysis. Eng. App. Artif. Intell. 2023, 126, 106712. [Google Scholar] [CrossRef]
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