Mathematical Modelling in Sustainable Global Supply Chain Management

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (10 June 2023) | Viewed by 8966

Special Issue Editors


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Guest Editor
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, Republic of Korea
Interests: supply chain management; optimization; reverse logistics; smart production; inventory management; mathematical modelling; renewable energy; emission reduction
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Special Issue Information

Dear Colleagues,

The global supply chain has a greater impact on economics,  but economic and social aspects are equally prioritized nowadays. Due to increased environmental instability, the supply chain changes operations management policies. The involvement of environmental aspects and social responsibility within management policies affects business policies around the globe. This Special Issue aims to derive sustainable strategies within global supply chain management for the creation of sustainable business relations. The unequal power of the global supply chain, gross domestic product (GDP), dynamic dollar rate, service reliability, operations management, logistics, environmental laws, wages, and human rights are a few factors that drive global supply chain management. Small industries and large industries follow different policies based on their industry infrastructure (Industry 4.0) and investment. The correct choice of management policies helps to boost the revenue of sustainable global supply chain management.

This Special Issue will accept works on supply chain management, global supply chain management, product management, and sustainability to achieve the Sustainable Development Goals (SDG). Any innovative works relating to mathematical modelling for global supply chain management are welcome. Innovative and new ideas regarding sustainable trading policies, risk reduction due to dollar value, and international business relations based on sustainable development strategies for supply chain management will also be accepted, helping to develop sustainability.

Dr. Rekha Guchhait
Dr. Mitali Sarkar
Guest Editors

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Keywords

  • mathematical modelling on global supply chain
  • sustainable supply chain management
  • advanced policies for sustainable supply chain management
  • payment policy for supply chain management
  • renewable resources for sustainable supply chain management
  • tax and dollar impact on the global supply chain
  • inflation effect on sustainability for global supply chain
  • supplier selection for global supply chain
  • optimization for mathematical modelling

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Published Papers (4 papers)

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Research

27 pages, 4710 KiB  
Article
Sustainable Supply Chain Model for Defective Growing Items (Fishery) with Trade Credit Policy and Fuzzy Learning Effect
by Osama Abdulaziz Alamri
Axioms 2023, 12(5), 436; https://doi.org/10.3390/axioms12050436 - 27 Apr 2023
Cited by 9 | Viewed by 1286
Abstract
Fundamentally, newborn items that are used commercially, such as chicken, fish, and small camel, grow day by day in size and also increase their weight. The seller offers a credit policy to the buyer to increase sales for a particular growing item (fish), [...] Read more.
Fundamentally, newborn items that are used commercially, such as chicken, fish, and small camel, grow day by day in size and also increase their weight. The seller offers a credit policy to the buyer to increase sales for a particular growing item (fish), and in this paper, it is assumed that the buyer accepts the policy of the trade credit. In this paper, the buyer acquires the newborn items (fish) from the seller and then sells them when the newborn items have increased their size and weight. From this point of view, the present paper reveals a fuzzy-based supply chain model that includes carbon emissions and a permissible delay in payment for defective growing items (fish) under the effect of learning where the demand rate is imprecise in nature and is treated as a triangular fuzzy number. Finally, the buyer’s total profit is optimized with respect to the number of newborn items. A numerical example has been presented for the justification of the model. The findings clearly suggest that the presence of trade credit, learning, and a fuzzy environment have an affirmative effect on the ordering policy. The buyer should order more to avoid higher interest charges after the grace period, which eventually increases their profit, while at the same time, it is also beneficial for the buyer to order less to gain the benefit of the trade credit period. The fuzziness theory controls the uncertainty situation of inventory parameters with the help of a de-fuzzified method. The lower and upper deviation of demand affects the total fuzzy profit. The effect of learning gives a positive response concerning the size of the order and the buyer’s total fuzzy profit. This means that the decision-maker should be aware of the size of the newborn items, rate of learning, and trade credit period during the supply chain because these directly affect the buyer’s total fuzzy profit. The impact of the inventory parameter of this model is presented with the help of sensitivity analysis. Full article
(This article belongs to the Special Issue Mathematical Modelling in Sustainable Global Supply Chain Management)
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29 pages, 1913 KiB  
Article
A New Extension of the Kumaraswamy Exponential Model with Modeling of Food Chain Data
by Eman A. Eldessouky, Osama H. Mahmoud Hassan, Mohammed Elgarhy, Eid A. A. Hassan, Ibrahim Elbatal and Ehab M. Almetwally
Axioms 2023, 12(4), 379; https://doi.org/10.3390/axioms12040379 - 16 Apr 2023
Cited by 6 | Viewed by 2657
Abstract
Statistical models are useful in explaining and forecasting real-world occurrences. Various extended distributions have been widely employed for modeling data in a variety of fields throughout the last few decades. In this article we introduce a new extension of the Kumaraswamy exponential (KE) [...] Read more.
Statistical models are useful in explaining and forecasting real-world occurrences. Various extended distributions have been widely employed for modeling data in a variety of fields throughout the last few decades. In this article we introduce a new extension of the Kumaraswamy exponential (KE) model called the Kavya–Manoharan KE (KMKE) distribution. Some statistical and computational features of the KMKE distribution including the quantile (QUA) function, moments (MOms), incomplete MOms (INMOms), conditional MOms (COMOms) and MOm generating functions are computed. Classical maximum likelihood and Bayesian estimation approaches are employed to estimate the parameters of the KMKE model. The simulation experiment examines the accuracy of the model parameters by employing Bayesian and maximum likelihood estimation methods. We utilize two real datasets related to food chain data in this work to demonstrate the importance and flexibility of the proposed model. The new KMKE proposed distribution is very flexible, more so than numerous well-known distributions. Full article
(This article belongs to the Special Issue Mathematical Modelling in Sustainable Global Supply Chain Management)
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23 pages, 3996 KiB  
Article
A Supply Chain Model with Learning Effect and Credit Financing Policy for Imperfect Quality Items under Fuzzy Environment
by Osama Abdulaziz Alamri, Mahesh Kumar Jayaswal and Mandeep Mittal
Axioms 2023, 12(3), 260; https://doi.org/10.3390/axioms12030260 - 2 Mar 2023
Cited by 3 | Viewed by 2231
Abstract
In this paper, the seller offers a credit period to his buyer for more sales and the buyer accepts the seller’s policy to gain more profit, and it is assumed that the seller has defective and non-defective items. When the seller provides lots [...] Read more.
In this paper, the seller offers a credit period to his buyer for more sales and the buyer accepts the seller’s policy to gain more profit, and it is assumed that the seller has defective and non-defective items. When the seller provides lots for sale to his buyer then, the buyer separates the whole lots with the help of inspection process into defective and perfect quality items. Further, in this scenario, the percentage of defective items present in the lot follows the S-shape learning curve and it is also considered that the demand rate is imprecise in nature. Here, the demand rate assumes a triangular fuzzy number due to the imprecise nature and it is the model assumption. Based on this assumption, we developed an inventory model with the effect of learning and trade credit strategy under a fuzzy environment for the buyer. The buyer’s total profit has been optimized concerning the order quantity in the fuzzy environment where order quantity has been assumed as a decision variable. The results of this model were verified with the help of numerical examples and sensitivity analysis. We compared the buyer’s total profit in a crisp and fuzzy environment and the buyer gained more profit in a fuzzy environment compared to the crisp environment. Moreover, we compared the results with and without the effect of learning and trade credit on the buyer’s ordering policy and obtained a positive effect on the ordering policy in the numerical section. We determined positive results from the sensitivity analysis, which proved that the trade credit policy will be beneficial for both partners of the supply chain. Full article
(This article belongs to the Special Issue Mathematical Modelling in Sustainable Global Supply Chain Management)
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18 pages, 1590 KiB  
Article
Differential Strategies of Continuous Agri-Product Supply Chain Considering Consumer Perception of Eco-Quality
by Shan Chen, Yuelin Duan, Jiafu Su and Junbo Tuo
Axioms 2023, 12(2), 158; https://doi.org/10.3390/axioms12020158 - 2 Feb 2023
Cited by 2 | Viewed by 1815
Abstract
Considering the influence of the consumers’ perception of eco-quality (CPQ) on the dynamic strategies of the continuous agri-product supply chain, the paper examines a two-stage agri-product supply chain composed of a supplier and a retailer, where the supplier invests in eco-quality improvement and [...] Read more.
Considering the influence of the consumers’ perception of eco-quality (CPQ) on the dynamic strategies of the continuous agri-product supply chain, the paper examines a two-stage agri-product supply chain composed of a supplier and a retailer, where the supplier invests in eco-quality improvement and the retailer invests in advertising. Taking the CPQ, eco-quality and goodwill as ternary state variables, the paper formulates joint decision-making models of a continuous agri-product supply chain based on differential game theory. The paper has analyzed equilibrium strategies in decentralized and centralized scenarios, respectively, and further developed an advertising–eco-quality investment cost-sharing contract to coordinate the supply chain. Finally, comparative and numerical analyses have been conducted. The analyses results reveal that consumers’ perceptions of eco-quality and their goodwill preference towards an agri-product encourage the supplier and retailer to improve the eco-quality of the agri-product and the level of advertising. Indeed, the greater the impact of goodwill on demand, the higher level of the supplier’s eco-quality investment and the retailer’s advertising effort, and the higher the profits of the supply chain. The paper also finds that the proposed cost-sharing contract can achieve a Pareto improvement in the continuous agri-product supply chain system. Furthermore, the higher the consumer goodwill preference, the more motivated suppliers and retailers are to cooperate. Full article
(This article belongs to the Special Issue Mathematical Modelling in Sustainable Global Supply Chain Management)
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