Techno-Economic and Life Cycle Cost Analysis through the Lens of Uncertainty: A Scoping Review

: Researchers have long been interested in developing new economic assessment methods to provide credible information and facilitate the sustainable development of new technologies and products. The techno-economic analysis (TEA) and the life cycle cost analysis (LCCA) are the most widely used approaches for modeling and calculating processes’ economic impacts. A simulation-based TEA is a cost-beneﬁt analysis that simultaneously considers technical and economic factors. In addition, the method facilitates the development of the entire project and provides a systematic approach for examining the interrelationships between economic and technological aspects. When it comes to economic studies, it is intimately bonded with uncertainty. There are numerous uncertainty sources, classiﬁed in various ways. The uncertainty reﬂects “an inability to determine the precise value of one or more parameters affecting a system.” The variability refers to the different values a given parameter may take. This implies that a probability density function (PDF), for instance, can be employed to estimate and quantify the variability of a given parameter. The bias refers to “assumptions that skew an analysis in a certain direction while ignoring other legitimate alternatives, factors, or data.” The present study identiﬁes the frequency with which TEA/LCCA studies address uncertainty and gaps within the selected papers through a scoping review. The results indicate that the uncertainty associated with economic factors and model uncertainties were the main sources of uncertainty in TEA and LCCA. Moreover, possibilistic approaches such as the Monte Carlo methodology were the most frequently used tool to cope with the uncertainties associated with LCCA and TEA.


Introduction
For many years, designers and contractors have been concerned with minimizing the costs of their projects. Researchers have always sought to develop new economic evaluation methods to give dependable observations and assist in the creation of new products. In this regard, clear and standardized frameworks are required to maximize the effectiveness of these methods [1]. Regarding technological innovation, the techno-economic analysis (TEA) and the life cycle cost analysis (LCCA) are two widespread methodologies. Despite their broad use and acceptance, these instruments lack clear guidelines and comprehensive documentation regarding their features. Both methods suffer from huge ambiguity, and uncertainty analysis is a key element of their process [2,3]. Uncertainty analysis provides valuable and meaningful insights into the consequences of assumptions and the model's underlying structure. As a measure of model quality and robustness, the uncertainty analysis can provide insight into the reliability of the outcome [3].
In contrast to determinism, uncertainty may indicate probability, likelihood, or frequency of occurrence [4]. In one classification, uncertainty can be considered aleatory and epistemic [5]. Aleatory uncertainty is caused by intrinsic variability, whereas epistemic uncertainty results from a lack of knowledge [6]. However, many articles have been published 1.
What are the main sources of uncertainty in TEA and LCCA? 2.
Which methods/tools were used to cope with these uncertainties? 3.
Which probability distribution functions were used to define the uncertainties?
The remainder of the article is outlined as follows: Section 2 describes the background of TEA and LCCA and the potential sources of uncertainty. The study's methodology is described in Section 3, a discussion of the research results is presented in Section 4, and the review is concluded in Section 5.

Background
In recent years, both the TEA and LCCA have gained increasing acceptance as appraisal methods for technological projects. This perspective indicates that both TEA and LCCA can serve as practical tools to ensure that resources are allocated appropriately and efficiently based on the technological assessment scopes. The US Department of Defense developed a primary framework of LCCA in the 1960s to systematically assess projects characterized by significant operative expenditures other than capital investments [16]. The following will introduce and discuss the basics of both concepts. Although there have been some techno-economic analyses over the past few decades, a systematic discussion of its methodological approach was only initiated recently [1]. Inevitably, the results of any evaluation based on assumptions and estimates will be uncertain. For decision-makers to make informed decisions, it is necessary to conduct an uncertainty analysis to determine both the reliability of positive results and which technical and economic parameters will most influence the profitability of a project [17]. Therefore, the present section provides the basics and definitions of TEA, LCCA, and their uncertainties.

Techno-Economic Analysis
Generally, a TEA compares costs and benefits by examining technological and economic aspects [1]. TEA combines engineering design and process modeling with economic evaluation, providing a means of assessing the economic viability of a process. From another perspective, TEA is a method of estimating a plant's performance, emissions, and cost in advance of its construction. A variety of definitions of evaluation methods are presented in the literature, most of which differ in terms of the evaluation scope and level of detail. TEA was offered not only as a tool in which investment and performance analysis converge but also as an appropriate approach for integrating engineering design and process modeling with the economic aspects [1,18].
Despite the significant increase in the use of TEA, in the absence of an agreed upon definition, it is difficult to determine what constitutes a TEA [19]. However, researchers have attempted to define the methodology of TEA. Kuppens et al. [17] discussed that three key questions need to be answered by a TEA: What is the mechanism of the technology? Does the technology have profit potential? How desirable is the technology? Nevertheless, they defined TEA as a combination of economic and technical evaluations. There are still some methodological guidelines that need to be clarified despite the effectiveness of the provided definition. In addition, the NABC (National Advanced Biofuels Consortium) provided a detailed description of the purpose of TEA in order to determine the financial viability of a conversion strategy. As part of TEA, engineering design, process modeling, and economic evaluation are integrated. Appendix A provides some definitions and statements of TEA.
Before delving into existing uncertainty analysis methodologies, offering a general overview of techno-economic models is useful since different investigations may necessitate different uncertainty analysis techniques. Van der Spek et al. [3] summarized the types of uncertain parameters based on the model complexity (simple, moderate, and complex). For simple models, uncertain parameters include financial parameters such as lifetime, discount rate, fuel and consumables costs, and scaling exponents. In moderate systems, uncertain parameters include simple model parameters, equipment sizes, equipment costs, and escalation factors. In addition, uncertain parameters include scaling factors, detailed capital costs, operational costs, and simple and moderate parameters in complex models. Giacomella [1] reported that the TEA's methodological steps could be categorized into the following six steps: (1) defining technology readiness levels (TRL), (2) system elements and boundaries identification, (3) Analyzing market conditions, costs, and feasibility, (4) profitability analysis, (5) analysis of risk and uncertainty using sensitivity and scenario forecasting, and (6) recommendations.

Life Cycle Cost Analysis
Life cycle cost analysis (LCCA) is a technique used to evaluate all relevant expenses of a project, product, or measure over its time. LCCA takes into account all costs, including initial costs (such as capital investment, purchase, and installation), future costs (such as energy, operating, maintenance, capital replacement, and financing costs), and any resale, salvage, or disposal costs, over the lifetime of the project or product [20][21][22][23]. Compared to TEA, LCCA relies on a broader regulatory foundation. The LCCA may depend on a broader set of legal regulations, standards, and guidelines than the TEA, whose primary sources are individual guidelines and intellectual debate [1]. The European Union recognizes LCCA through its directives (2014/24/EU [24], 2014/25/EU [25]), and several product-specific standards have been developed for the oil and gas and construction industries. (ISO 15663:2000 and 15686:2017, respectively).
In the literature, LCCA is also described in several different ways, but it appears to have a higher degree of coherence than TEA. As obtained from definitions in Appendix A, LCCA facilitates the proper decision-making process by aggregating and estimating costs into easy-to-read figures, as well as revealing and counting the influence of different factors, such as the time value of money and other uncertain economic factors, on decisions. The cost generally includes all costs related to production, operation, maintenance, and retiring/disposing of a product from the cradle to the grave.
Uncertainty in parameters, such as cash flows and their timing, interest rates, and duration analysis, are the most commonly reported uncertainty sources in LCCA. The uncertainty of cash flow is called cash flow unpredictability [26]. The uncertainty of interest rates results from fluctuating economic conditions and markets, and the change of interest rates over time puts uncertainty into any study [27,28]. The literature addresses uncertainty in describing the cash flows' timing using the same reasoning that applies to interest rates and cash flows.
According to the literature [1,29,30], the TEA's methodological steps can be categorized into the following five steps: (1) problem definition and objectives, (2) cost analysis, (3) discounting future cash flows and economic evaluation, (4) considering risks and uncertainties, and (5) comparing the alternatives and possibilities.

Uncertainty
According to Finnveden et al. [31], uncertainty is defined as the deviation between a quantity measured or calculated and its true value and discussed many reasons to make the uncertainty happen. Different variables influence how decision-makers interpret uncertain outcomes, including their preferences, timing, and scenario framing [32]. In the literature, sources of uncertainty, such as data, choices, and relations, are distinguished from types of uncertainty. As examples of uncertainty types, data variability, inconsistency between alternative products, and an incorrect relationship between pollutant emissions and their environmental impact can be cited. [33]. From the literature, an overview of different types of uncertainty and their definitions is given in Table 1. As seen, 26 different types of uncertainty were listed and defined. The most significant types of uncertainty in TEA and LCCA are model, parameter, and scenario uncertainties, as well as variability (see Section 4). Over time, different methods have been developed to deal with different types of uncertainty. Uncertainty modeling can be used to reduce, evaluate, and demonstrate uncertainty. These methods can be classified into four groups: deterministic, probabilistic, possibilistic, and other methods [34]. In another classification, these methods were categorized into quantitative and qualitative techniques [35]. Barahmand et al. [36] reported another classification which consists of possibilistic, probabilistic, hybrid possibilistic-probabilistic, interval-based analysis, robust optimization, and information gap decision theory. A diagram illustrating well-known methods of dealing with various types of uncertainty is shown in Figure 1 (based on [34,37]). Model uncertainty Our limitations in representing physical systems may result in uncertainty when we approximate a model in order to solve a problem. [38] Scenario uncertainty A level of uncertainty associated with specifying an exposure scenario that is consistent with the purpose and scope of the exposure assessment [40] Exposure factor Uncertainty Contributes to the specification of numerical values for human exposure [40] Uncertainty due to choices Different choices of partitioning methods, etc. [41] Spatial variability The phenomenon occurs when the value of a quantity is different at different spatial locations.
A descriptive spatial statistic such as the range can be used to assess spatial variability. [42] Temporal variability A measure of the frequency and magnitude of fluctuations in ecosystem structure such as standing stocks of resources and species abundance [43]  Data uncertainty This type of data contains noise that causes it to deviate from the correct or original values. [44] Completeness uncertainty Like modeling uncertainties, completeness uncertainties occur at the beginning of the probabilistic risk analysis process. In probabilistic risk analysis, there is uncertainty as to whether all significant phenomena and significant relationships have been considered. [45] Aleatory uncertainty Samples and parameters are intrinsically random [38] Epistemic uncertainty An insufficient understanding of fundamental phenomena [38] Ambiguity Being open to multiple interpretations Oxford definition Volitional uncertainty Whether or not an individual will follow through on an individual's commitment [46] Statistical variation A measure of how widely distributed a group of data is [47,48] Subjective judgment A lack of certainty in the interpretation of data or the estimations of experts [38] Linguistic imprecision Depends on the utterance alternatives available to the speaker in the context [49] Inherent randomness Resulting from the irreducibility of a system to a deterministic system [38]  Whether or not an individual will follow through on an individual's commitment [46] Statistical variation A measure of how widely distributed a group of data is [47,48]

Subjective judgment
A lack of certainty in the interpretation of data or the estimations of experts [38]

Linguistic imprecision
Depends on the utterance alternatives available to the speaker in the context [49]

Inherent randomness
Resulting from the irreducibility of a system to a deterministic system [38] Disagreement Lack of consensus or approval, inconsistency or correspondence Oxford definition

Approximation
Nearly accurate but not exactly correct value or quantity Oxford definition

Semantic uncertainty
Occurs when humans give names to things, especially when those things are mapped as geographic data [50] Interpretational uncertainty Occurs when interpreters use inconsistent decoding methodologies to extract information from data or models.
Helmholtz dictionary Figure 1. Classification of different methods to cope with system uncertainties.

Methodology
The present study uses a scoping review methodology to summarize and analyze the history and status of uncertainty considerations in techno-economic and life cycle cost assessments, as well as indicate related challenges and limitations. The choice of this type of review was based on the fact that it involves multiple structured searches and a rigorous search methodology [51]. As part of the process, PRISMA flow diagrams are used to report on the papers found at each stage [10]. Flow diagrams based on the PRISMA methodology have been well established as a methodology for scoping reviews [52]. The Figure 1. Classification of different methods to cope with system uncertainties.

Methodology
The present study uses a scoping review methodology to summarize and analyze the history and status of uncertainty considerations in techno-economic and life cycle cost assessments, as well as indicate related challenges and limitations. The choice of this type of review was based on the fact that it involves multiple structured searches and a rigorous search methodology [51]. As part of the process, PRISMA flow diagrams are used to report on the papers found at each stage [10]. Flow diagrams based on the PRISMA methodology have been well established as a methodology for scoping reviews [52]. The objective of this method is not to conduct a mapping or a systematic review since the identified literature will not be critically evaluated. Instead, thematic data analysis is presented descriptively and qualitatively [53].
Furthermore, promising areas for improvement and knowledge gaps were identified. The purpose of a scoping review is to describe the key concepts underpinning a research area, as well as the available sources and types of evidence. It may be performed as a standalone project, particularly when the subject matter is complex or has not been thoroughly investigated [54]. Scoping studies are conducted for at least four reasons [55]:

1.
Analyzing the scope, range, and nature of the study, 2.
An assessment of the feasibility of conducting a comprehensive systematic review, 3.
Sharing and summarizing findings, and 4.
Knowledge gaps identification

Searching Procedure
As seen in Figure 2, scoping review protocol consists of five main stages: identifying research questions and relevant studies, selecting studies, charting the data, and summarizing and reporting the results [53]. To conduct this study, the following steps were performed.

2.
A preliminary search was conducted in two scientific databases, Scopus and Sci-enceDirect (stage 2), using the following search strings. These search strings are: For Scopus: TITLE-ABS-KEY ((techno-economic OR (life AND cycle AND cost*)) AND(uncertainty)) For ScienceDirect: (techno-economic OR life cycle cost) AND uncertainty The initial search was not limited at this level. Titles, abstracts, and keywords were searched across the selected databases. Thus, 3635 and 680 documents (in all categories) were indexed in Scopus and ScienceDirect, respectively. 3.
The main interest was to study the most recent studies. Therefore, the studies conducted in the last 5 years were chosen (2017-April 2022). As a result of applying this limit, the number of documents decreased to 1777 for Scopus and 470 for ScienceDirect, respectively (stage 2).
Sustainability 2022, 14, x FOR PEER REVIEW 6 of 23 objective of this method is not to conduct a mapping or a systematic review since the identified literature will not be critically evaluated. Instead, thematic data analysis is presented descriptively and qualitatively [53]. Furthermore, promising areas for improvement and knowledge gaps were identified. The purpose of a scoping review is to describe the key concepts underpinning a research area, as well as the available sources and types of evidence. It may be performed as a standalone project, particularly when the subject matter is complex or has not been thoroughly investigated [54]. Scoping studies are conducted for at least four reasons [55]: 1. Analyzing the scope, range, and nature of the study, 2. An assessment of the feasibility of conducting a comprehensive systematic review, 3. Sharing and summarizing findings, and 4. Knowledge gaps identification

Searching Procedure
As seen in Figure 2, scoping review protocol consists of five main stages: identifying research questions and relevant studies, selecting studies, charting the data, and summarizing and reporting the results [53]. To conduct this study, the following steps were performed. The initial search was not limited at this level. Titles, abstracts, and keywords were searched across the selected databases. Thus, 3635 and 680 documents (in all categories) were indexed in Scopus and ScienceDirect, respectively. 3. The main interest was to study the most recent studies. Therefore, the studies conducted in the last 5 years were chosen (2017-April 2022). As a result of applying this limit, the number of documents decreased to 1777 for Scopus and 470 for ScienceDirect, respectively (stage 2).

4.
In the next step, the language of the studies was also limited to English. Consequently, only a few documents were removed from Scopus. The remaining studies were indexed in Scopus and ScienceDirect as 1741 and 470, respectively (stage 2 continued).

5.
Limiting the search strings only to the title (stage 2 continued), the number of articles dropped significantly (63 and 35 for Scopus and ScienceDirect). 6.
All the documents obtained from ScienceDirect were repeated in the Scopus list. Therefore, in this step, by trimming the list and removing duplicates, 63 documents remained (stage 3). The remaining articles were listed in Excel to perform the necessary investigation. 7.
A full-text screening was conducted to determine the eligibility of the studies. Accordingly, three studies were deemed non-relevant and were eliminated from the list (stage 3 continued). The list contained 60 publications at this stage. 8.
To obtain more credible results, the results were limited to only journal papers, and book chapters and conference papers were eliminated. All in all, the final list included 47 studies. 9.
The Bolographic information was extracted and reported (stages 4 and 5), including the title, country of origin, year of publication, the study's aim and scope, methodology, barriers and challenges, and other observations.
The PRISMA flow diagram of the study is illustrated in Figure 3. PRISMA methodology, a well-established reporting template, illustrates the screening process results to report the remaining studies at each stage of the screening process.  4. In the next step, the language of the studies was also limited to English. Consequently, only a few documents were removed from Scopus. The remaining studies were indexed in Scopus and ScienceDirect as 1741 and 470, respectively (stage 2 continued). 5. Limiting the search strings only to the title (stage 2 continued), the number of articles dropped significantly (63 and 35 for Scopus and ScienceDirect). 6. All the documents obtained from ScienceDirect were repeated in the Scopus list.
Therefore, in this step, by trimming the list and removing duplicates, 63 documents remained (stage 3). The remaining articles were listed in Excel to perform the necessary investigation. 7. A full-text screening was conducted to determine the eligibility of the studies.
Accordingly, three studies were deemed non-relevant and were eliminated from the list (stage 3 continued). The list contained 60 publications at this stage. 8. To obtain more credible results, the results were limited to only journal papers, and book chapters and conference papers were eliminated. All in all, the final list included 47 studies. 9. The Bolographic information was extracted and reported (stages 4 and 5), including the title, country of origin, year of publication, the study's aim and scope, methodology, barriers and challenges, and other observations.
The PRISMA flow diagram of the study is illustrated in Figure 3. PRISMA methodology, a well-established reporting template, illustrates the screening process results to report the remaining studies at each stage of the screening process.

Limitation
The present study was limited to English language studies published after 2017. Furthermore, conference papers, proceedings, and grey literature, such as publicly accessible records and technical reports, have not been studied.

Limitation
The present study was limited to English language studies published after 2017. Furthermore, conference papers, proceedings, and grey literature, such as publicly accessible records and technical reports, have not been studied.

Results and Discussion
An overview of the latest studies on applying uncertainty analysis to TEA and LCCA (47 selected studies from the scoping review) is provided in this section.

Number of Publications
The year-wise analysis provides an overall perspective of the research progress over the study period. Based on data from 2017 to April 2022, Figure 4 shows how many studies were published. The early studies from the Scopus database were also presented to provide a better understanding of the trend over time. As a whole, TEA and LCCA are becoming increasingly popular for investigating uncertainty. With 15 publications, 2021 has made the greatest contribution. So far, there has been only one publication in the first quarter of 2022; however, it is expected to have fewer publications than in 2021. Since 2017, interests in the topic have increased significantly.

Results and Discussion
An overview of the latest studies on applying uncertainty analysis to TEA and LCCA (47 selected studies from the scoping review) is provided in this section.

Number of Publications
The year-wise analysis provides an overall perspective of the research progress over the study period. Based on data from 2017 to April 2022, Figure 4 shows how many studies were published. The early studies from the Scopus database were also presented to provide a better understanding of the trend over time. As a whole, TEA and LCCA are becoming increasingly popular for investigating uncertainty. With 15 publications, 2021 has made the greatest contribution. So far, there has been only one publication in the first quarter of 2022; however, it is expected to have fewer publications than in 2021. Since 2017, interests in the topic have increased significantly.  Although conference papers have been eliminated from this review, to have a meaningful comparison of types of published studies on the topic, conference papers were added to 47 selected studies. Most selected documents were articles, followed by conference papers, which accounted for 20 percent of the selected documents. Figure 6

Publications by Document Type
Although conference papers have been eliminated from this review, to have a meaningful comparison of types of published studies on the topic, conference papers were added to 47 selected studies. Most selected documents were articles, followed by conference papers, which accounted for 20 percent of the selected documents. Figure 6 illustrates the significance of the study based on only three review articles. Van der Spek et al. [3] critically reviewed the uncertain aspects of TEA in CO 2 capture and storage technologies. On the other hand, Sun and Carmichael [27] reviewed the uncertainties related to economic and financial variables within infrastructure LCCA. Ilg et al. [34] defined 33 different uncertainty sources and 24 methods to handle the uncertainties associated with LCCA decisions for infrastructure projects.

Publications by Document Type
Although conference papers have been eliminated from this review, to have a meaningful comparison of types of published studies on the topic, conference papers were added to 47 selected studies. Most selected documents were articles, followed by conference papers, which accounted for 20 percent of the selected documents. Figure 6 illustrates the significance of the study based on only three review articles. Van der Spek et al. [3] critically reviewed the uncertain aspects of TEA in CO2 capture and storage technologies. On the other hand, Sun and Carmichael [27] reviewed the uncertainties related to economic and financial variables within infrastructure LCCA. Ilg et al. [34] defined 33 different uncertainty sources and 24 methods to handle the uncertainties associated with LCCA decisions for infrastructure projects.

Publications by Subject Area
As shown in Table 2, the selected studies can be classified into 17 areas based on the extracted information from the Scopus database. Engineering, energy, and environmental sciences were the leading sectors on this topic by 27, 22, and 19 percent, respectively.

Publications by Subject Area
As shown in Table 2, the selected studies can be classified into 17 areas based on the extracted information from the Scopus database. Engineering, energy, and environmental sciences were the leading sectors on this topic by 27, 22, and 19 percent, respectively.

Content-Based Analysis
To answer the research questions, this section provides a comprehensive contentbased analysis. The purpose of this section is to provide an overview of recent research conducted in the last 5 years. Except for review articles by der Spek et al. [3] and Sun and Carmichael [27], other studies focused on TEA and LCCA of the specific case study. As seen in Table 3, these studies were categorized into three different classes. The interest in studying TEA under uncertainty was the highest at almost 70 percent. For example, a techno-economic study was conducted by Coppitters et al. [56], taking technical, economic, and environmental uncertainties into account. In order to maximize the carbon intensity and Levelized cost of driving, they performed robust design optimization on a solar-and wind-powered hydrogen refueling system and hydrogen-and diesel-powered bus fleet. The carbon intensity is the carbon emissions per unit of energy consumed (CO 2 emissions/energy) [57][58][59]. The Levelized cost of driving calculates how much it costs to drive a vehicle per kilometer over its life cycle [60]. For all uncertainties, uniform distribution can be expressed as lower and upper bounds because there were very few data points for these parameters. Thus, it is challenging to determine their distributions. Their uncertain parameters were divided into two categories: aleatory (grid electricity price and GHG emissions, energy consumption, annual solar irradiance, average ambient temperature, diesel price and the inflation rate) and epistemic (30 the economic and environmental parameters) uncertainty. They employed a sparse polynomial chaos expansion (SPCE) approach in order to perform uncertainty quantification on a system with a high degree of stochasticity [61], which is computationally efficient. Zhenzhen and Kai [9] developed a techno-economic analysis of producing cross-laminated timber (CLT) panels, an emerging and green alternative to steel and concrete, in the Southern United States. The authors considered the uncertainty and variations in feedstock, plant capacity, manufacturing parameters, as well as capital and operating costs in order to fill the knowledge gap. The Monte Carlo simulation was used to assess the effects of these variations on minimum selling prices (MSPs) for CLT panels. The MSP is a crucial indicator for determining the economic viability of a product since it represents the minimal selling price required to reach the cash flow breakeven point [62]. Lo et al. [63] performed a TEA and feasibility analysis on a biomass gasification process, considering five supply chain uncertainties: syngas and transportation fuel prices, biomass quality, supply, and pricing via Monte Carlo simulation (MCS). McNulty et al. [64] developed a techno-economic analysis model including process variability and related uncertainties in field-grown plant-based manufacturing. They employed the MCS to quantify the effect of variation and uncertainties in profitability-related indicators such as internal rate of return, cost of goods, and process performance forecast variables such as product purity and annual throughput [65]. The predictive modeling, uncertainty analysis, optimization, and TEA of bio-catalyzed biodiesel production from Azidirica Indica oil were accomplished by Oke et al. [66]. The predictive model and optimizations were developed in Design Expert ® software. The model uncertainty analysis was performed using the Monte Carlo simulation in Oracle Crystal Ball ® software on input variables of biodiesel production. The process simulation and economic analysis were conducted in ASPEN Batch Process Developer ® V10. Moreover, a sensitivity analysis was performed to assess the process's profitability, assessing the economic efficiency and feasibility of the proposed production process. Net present value (NPV), payback Time (PBT), and return on investment (ROI) were used to investigate the profitability of this process. Amini and Noble [7] developed a techno-economic optimization method to identify the ideal size and quantity of flotation cells for a specific circuit configuration, taking into account the possibility of variability in various input parameters, including feed grade, kinetic coefficients, and metal price. In the first step, a sensitivity analysis was undertaken to identify the uncertain parameters. After simplifying the optimization issue, the sample average approximation (SAA) methodology was used to identify the equipment configuration (i.e., cell size and number) that optimizes the plant's net present value while accounting for the range of probable input values re-sulting from parameter uncertainty. SAA is a method for solving stochastic optimization problems based on the Monte Carlo simulation [67]. Alfonso-Cardero et al. [68] conducted a process simulation and a TEA for the anaerobic digestion of Cuban sugarcane vinasses under uncertainty. For the application of biogas, the following three scenarios were considered: electricity production, biomethane as vehicle fuel, and biomethane for gas grid injection. Accordingly, sensitivity analyses were conducted on each scenario to determine the parameters that have the greatest impact on the investment's economic viability such as electricity selling price and cost of Ca(OH) 2 . Compared to the baseline, input parameters were varied by 25%, 50%, and 75%. Moreover, a stochastic modeling using the MCS was performed to find the probability distribution of the NPV as the main output.
Only one article used techno-economic-environmental analysis (TEEA). Hosseini et al. [69] proposed a framework for evaluating the techno-economic-environmental effects of various levels of network integration and storage devices on the performance of integrated gas and electricity networks. They employed MCS to sample their sources of uncertainty, such as loads, renewable energy sources, and economic and environmental key factors.
A full list of uncertainty sources associated with selected TEA studies is provided in Appendix B. Moreover, Table 4 summarizes different approaches and tools used to cope with the system uncertainties, PDFs of uncertain data, and the application of the studies associated with TEA. An off-grid stand-alone photovoltaic system for hydrogen electrolysis  On the other hand, 27 percent of the studies addressed LCCA. For example, to maintain the safety and welfare of communities, asset management systems (AMSs) [70] should keep infrastructure assists in acceptable condition. By including probabilistic and complex uncertain models in AMSs, it has been argued that project-level AMSs can maximize maintenance activities over the assets' life cycle [71]. Asghari et al. [71] developed a deep neural network (DNN) model for replacing the time-consuming simulation modules of optimization algorithms. In order to make complex AMSs computationally applicable to all network assets, they estimated the LCCA results using a trained machine-learning model. Machine learning algorithms such as DNN mimic the brain's information processing [72]. In this model, deterioration (modeled by first-order Markov chain), hazards and the hazard responses of assets (modeled by the Poisson process), and costs volatility (modeled by the Wiener process) were the main sources of uncertainty. Despite this method's relatively high computing costs, trained DNN models may provide comparable outcomes hundreds of times faster than Monte Carlo simulations. Table 5 lists the sources of uncertainty in the studies related to LCCA. Moreover, Table 6 summarizes different approaches and tools used to cope with the system uncertainties, PDFs of uncertain data, and the application of the studies associated with LCCA. In Tables 4 and 6, "N/A" in the "Trials" column indicates the uncertainty method does not belong to the probabilistic approach and does not utilize trials. In addition, the empty "Trials" section indicates that although the method requires trials, the authors did not provide any additional information.  [80] Uncertainty in the input data Table 6. Uncertainty methods, probability distribution functions, and applications in LCCA. In general, Monte Carlo simulation methodology and probabilistic approaches are the most frequently used tools and approaches in TEA and LCCA studies. Different PDFs were defined for the uncertain parameters such as normal, Uniform, lognormal, triangular, Weibull, beta, etc. Furthermore, key economic factors and model parameters were the main sources of uncertainty in LCCA and TEA.

Conclusions
Two commonly used methods of evaluating a project's economic feasibility are TEA and LCCA. Both methods are subject to great ambiguity, and uncertainty analysis forms a key component of their methodologies. The current study fills a gap left by the absence of comprehensive reviews on LCCA and TEA in an uncertain environment. The results indicate that there has been a greater interest in studying uncertain aspects of TEA than LCCA, possibly because TEA considers both economic and technical aspects of the problem. In both LCCA and TEA, key economic factors and model parameters were the main sources of uncertainty. Moreover, recent studies have also demonstrated an interest in adopting the probabilistic approach, particularly the Monte Carlo simulation. To address the uncertainty associated with parameter values, probabilistic methods must utilize probability distribution functions. The normal distribution functions, followed by lognormal and uniform PFDs, were the most frequently used PDF associated with the uncertain parameters in LCCA and TEA. This implies that choosing an appropriate PDF plays a crucial role in probabilistic approaches. According to the results, sensitivity analysis and Monte Carlo simulation were used in more than half of the studies to analyze uncertainty, confirming their complementary nature. Whereas LCCA and TEA studies suffer from significant uncertainties, it is suggested that uncertainty analysis should be considered in all future studies. The authors also suggest that possibilistic approaches such as fuzzy set theory be tested and compared to possibilistic approaches.   Table A1. Definitions of techno-economic analysis (TEA) in the literature based on Giacomella [1] and Smur et al. [81].

Definition Reference
"The evaluation of the technic performance or potential and the economic feasibility of a new technology that aims to improve the social or environmental impact of a technology currently in practice, and which helps decision-makers in directing research and development or investments." [17] "The techno-economic evaluation incorporates results from both investment and performance analysis to select the most cost-efficient solution for a certain scenario and performance requirements." [18] "Iterative process illustrating the valorization of potential technologies. It adopts design techniques to estimate costs and revenues aimed at identifying profitability. Next, risk analysis is performed in support of risk reduction strategies." [19] "Techno-economic modelling methods are typically used to evaluate the economic feasibility of new technologies and services. Techno-economic modelling combines forecasting network design and investment analysis methods, typically utilizing the spreadsheet-based tool." [81] "TEA is a methodology framework to analyse the technical and economic performance of a process, product or service and includes studies on the economic impact of research, development, demonstration, and deployment of technologies, quantifying the cost of manufacturing and market opportunities." [82] "The TEA model is an integrated model, with direct linkages between the economic and technological parts. The dynamic character of TEA, where a change in one parameter directly affects all output indicators, is key to identifying the most influencing parameters for a feasible technology." [83] "The techno-economic analysis (TEA) involves evaluating a process/technology through a process simulation approach." [84] Table A2. Definitions of LCCA in the literature.

Definition Reference
In an LCCA, all the significant net expenditures arising during the ownership of an asset are identified and quantified in order to optimize the total cost of asset ownership. [85] The life cycle cost of a product (LCCA) involves the total cost throughout its entire lifespan. [86] As a result of LCCA analysis, an estimate of the total incremental costs associated with developing, producing, using, and retiring a particular product can be determined [87] A conventional life cycle cost analysis assesses all costs associated with the life cycle of a product that are directly borne by the main producer or user [88] The LCCA is a type of investment calculus that incorporates a life-cycle perspective beyond that offered by traditional investment calculus. As well as considering investment costs, it also considers operating costs over the product's expected lifetime. [89] The LCCA methodology enables comparisons of costs over a given period, taking into account relevant integral economic factors [90] In LCCA, all present and future costs essential to a system are summed together in present value during a given life cycle. [91] A life cycle cost assessment is a method of evaluating life-cycle costs in a systematic manner. It can examine a project's entire life cycle, a selected period of time, or a selected stage in its life cycle [92] Appendix B Table A3. Sources of uncertainty in techno-economic studies.

[56]
The grid electricity and diesel price, grid electricity's greenhouse gas emissions, energy consumption, annual solar irradiance, average ambient temperature, inflation rate, economic and environmental parameters 2 [9] Variations in the feedstock, plant capacities, manufacturing parameters, and capital and operating costs 3 [63] Syngas and transportation fuel prices, biomass quality, supply and pricing 4 [64] Main indicators of profitability such as internal rate of return, cost of goods, and performance forecast variables, such as product purity and annual throughput) 5 [66] Input variables of biodiesel production, profitability indicators 6 [7] Different input parameters, including feed grade, kinetic coefficients, and metal price 7 [68] Input parameters such as electricity selling price and cost of Ca(OH) 2

[93]
Economic parameters 9 [94] A historical time series of wind directions and speeds in the years between 2000-2019, mean wind speeds, power density, most probable wind speeds, maximum energy carrying speeds, and predominant wind directions in wind passes are presented in this section 10 [95] Feedstock composition, HTL yield model, aqueous-phase product treatment, utility consumption, and equipment sizing and costing 11 [96] Biodiesel production input variables and profitability indicators 12 [97] Process parameters such as materials and energy demands, production costs, and unit production costs 13 [98] Various distributed energy resources (DERs) data, wind, solar and electric vehicles (EVs) 14 [99] Wide range of system parameters (Electrolyzer, PV, and economic parameters) 15 [3] Review 16 [100] Coefficients of cost correlation and parameters of scenarios 17 [101] System parameters including electrolyzer, PV, H 2 tank, battery bank, fuel cell) and economic parameters 18 [102] Solvent property uncertainties on a rate-based absorb model (density, viscosity, solubility, surface tension, equilibrium between vapor and liquid, chemical reaction kinetics, heat of reaction, specific heat capacity) 19 [103] Several geological and structural parameters are uncertain, including the stress field, the location and orientation of natural fractures and faults, the temperature distribution, and the pressure distribution within the reservoir 20 [104] Model parameters 21 [105] Technical and financial parameters 22 [106] The price of energy, technological uncertainty regarding internal combustion, hybrid, plug-in hybrid, battery, and fuel cell electric under various progress scenarios for 2035 and 2050 23 [107] Parameters of the PV-electrolyzer system from a technical and economic perspective 24 [108] The uncertainty of bio-crude yields, quality, utility consumption, and efficiency, as well as key economic indicators 25 [109] Process and economic variables 26 [110] Process and economic variables 27 [111] Economic key factors Table A3. Cont.

Reference
Sources of Uncertainty 30 [112] Economic key factors 31 [113] Economic key factors 32 [114] Number of people inside the room 33 [115] Estimate feedstock requirements, costs, life-cycle energy usage, greenhouse gas emissions for grower payments and field operations, and major parameters associated with the transportation of corn stover feedstock 34 [116] Technical and economic parameters 35 [117] Technical parameters and environmental uncertainties 36 [118] Price of biodiesel and feedstock, the efficiency of biodiesel conversion, and operating costs 37 [119] Post-combustion CO 2 capture techno-economic parameters 38 [69] Technical, economic, and environmental parameters (electricity and heat loads, wind and PV generation, EE unit factors for EE evaluation)