Pub Date : 2020-07-02DOI: 10.17535/crorr.2020.0010
M. Heffer, Vedrana Ivić, R. Scitovski
Glucose tolerance test (GTT) is standard diagnostic procedure that tests the efficiency of blood glucose-lowering hormones (insulin, incretins, leptin). Contrary, insulin tolerance test (ITT) is probing efficiency of blood glucose-rising hormones (glucagon, thyroxine, growth hormone, glucocorticoids, adrenalin, noradrenalin). These two hormone systems together maintain blood glucose levels in a narrow range. Various pathophysiological mechanisms give rise to a reversible condition -- prediabetes which then progresses to an irreversible chronic disease -- diabetes, both marked with deviation of blood glucose levels outside the set range. In diagnostic purpose, the patient is given glucose load, and blood glucose is measured right before and 2 hours after load. Measurements are more frequent after insulin injection (ITT) or if both tests are performed on experimental animals. In this paper we analyse the mathematical model for GTT and ITT. The obtained model function is a useful tool in describing the dynamics of blood glucose changes.
{"title":"Parameter identification in the mathematical model of glucose and insulin tolerance test - the mathematical markers of diabetes","authors":"M. Heffer, Vedrana Ivić, R. Scitovski","doi":"10.17535/crorr.2020.0010","DOIUrl":"https://doi.org/10.17535/crorr.2020.0010","url":null,"abstract":"Glucose tolerance test (GTT) is standard diagnostic procedure that tests the efficiency of blood glucose-lowering hormones (insulin, incretins, leptin). Contrary, insulin tolerance test (ITT) is probing efficiency of blood glucose-rising hormones (glucagon, thyroxine, growth hormone, glucocorticoids, adrenalin, noradrenalin). These two hormone systems together maintain blood glucose levels in a narrow range. Various pathophysiological mechanisms give rise to a reversible condition -- prediabetes which then progresses to an irreversible chronic disease -- diabetes, both marked with deviation of blood glucose levels outside the set range. In diagnostic purpose, the patient is given glucose load, and blood glucose is measured right before and 2 hours after load. Measurements are more frequent after insulin injection (ITT) or if both tests are performed on experimental animals. In this paper we analyse the mathematical model for GTT and ITT. The obtained model function is a useful tool in describing the dynamics of blood glucose changes.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"121-133"},"PeriodicalIF":0.7,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.17535/crorr.2020.0010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44937449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-02DOI: 10.17535/crorr.2020.0011
Usha Prameela Karupothu, Pavan Kumar
We present an FM/FD/1 queuing model with unbounded limit under different fuzzy numbers. The arrival (landing) rate and service (administration) rate are thought to be fuzzy numbers such as triangular, trapezoidal and pentagonal fuzzy numbers. Because random event can only be observed in an uncertain manner, the fuzzy result of an uncertainty mapping is a fuzzy random variable. Consequently, it is conceivable to characterize the specific connection between randomness and fuzziness. The execution proportions of this lining miniature are fuzzified after that examined by utilizing α - cut estimations and DSW algorithm (Dong, Shah and Wong). Relating to different fuzzy numbers, the numerical precedents are delinated to test the attainability of this model (miniature). A comparative illustration corresponding to each fuzzy number is accomplished for various estimations of α.
{"title":"Perceptionization of FM/FD/1 queuing model under various fuzzy numbers","authors":"Usha Prameela Karupothu, Pavan Kumar","doi":"10.17535/crorr.2020.0011","DOIUrl":"https://doi.org/10.17535/crorr.2020.0011","url":null,"abstract":"We present an FM/FD/1 queuing model with unbounded limit under different fuzzy numbers. The arrival (landing) rate and service (administration) rate are thought to be fuzzy numbers such as triangular, trapezoidal and pentagonal fuzzy numbers. Because random event can only be observed in an uncertain manner, the fuzzy result of an uncertainty mapping is a fuzzy random variable. Consequently, it is conceivable to characterize the specific connection between randomness and fuzziness. The execution proportions of this lining miniature are fuzzified after that examined by utilizing α - cut estimations and DSW algorithm (Dong, Shah and Wong). Relating to different fuzzy numbers, the numerical precedents are delinated to test the attainability of this model (miniature). A comparative illustration corresponding to each fuzzy number is accomplished for various estimations of α.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"135-144"},"PeriodicalIF":0.7,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.17535/crorr.2020.0011","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44365820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-02DOI: 10.17535/crorr.2020.0007
N. Z. Hrustek, Nenad Persi, Dino Klicek
Game theory is often used while making decisions in situations of conflicted interests. This research studies practical application of game theory with emphasis on applying linear programming, ie simplex algorithm while solving problems in game theory domain. Different cases of game theory application in various scientific disciplines went through theoretical analysis. After the analysis was conducted, this paper presented a practical example of solving a situation of conflict on local government level and the efficiency of game theory while making decision.
{"title":"Game theory in solving conflicts on local government level","authors":"N. Z. Hrustek, Nenad Persi, Dino Klicek","doi":"10.17535/crorr.2020.0007","DOIUrl":"https://doi.org/10.17535/crorr.2020.0007","url":null,"abstract":"Game theory is often used while making decisions in situations of conflicted interests. This research studies practical application of game theory with emphasis on applying linear programming, ie simplex algorithm while solving problems in game theory domain. Different cases of game theory application in various scientific disciplines went through theoretical analysis. After the analysis was conducted, this paper presented a practical example of solving a situation of conflict on local government level and the efficiency of game theory while making decision.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"81-94"},"PeriodicalIF":0.7,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.17535/crorr.2020.0007","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48146794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0022
M. J. S. Noveiri, S. Kordrostami
Conducting an in-depth exploration of trade-offs between sustainability aspects is a notable matter of taking decisions. Furthermore, there are many real world investigations that trade-offs and sustainability should be dealt with in the presence of desirable and undesirable materials while some of them accept integer amounts. Therefore, this study addresses trade-offs of sustainability dimensions when undesirable and integer-valued measures are presented. For this purpose, approaches based upon data envelopment analysis (DEA) are proposed. To explain, DEA models are introduced to calculate individual and group marginal rates of substitution and also directional marginal rates of substitution when integer and undesirable variables are observed. These procedures are applied to calculate tradeoffs between different sustainability dimensions, including economic, environmental and social ones. The applications of ports and industrial parks are provided to clarify the approaches appeared in this study. The results derived from the proposed strategies show the usefulness and validity of them.
{"title":"Trade-offs analysis of sustainability dimensions using integer-valued data envelopment analysis","authors":"M. J. S. Noveiri, S. Kordrostami","doi":"10.17535/crorr.2020.0022","DOIUrl":"https://doi.org/10.17535/crorr.2020.0022","url":null,"abstract":"Conducting an in-depth exploration of trade-offs between sustainability aspects is a notable matter of taking decisions. Furthermore, there are many real world investigations that trade-offs and sustainability should be dealt with in the presence of desirable and undesirable materials while some of them accept integer amounts. Therefore, this study addresses trade-offs of sustainability dimensions when undesirable and integer-valued measures are presented. For this purpose, approaches based upon data envelopment analysis (DEA) are proposed. To explain, DEA models are introduced to calculate individual and group marginal rates of substitution and also directional marginal rates of substitution when integer and undesirable variables are observed. These procedures are applied to calculate tradeoffs between different sustainability dimensions, including economic, environmental and social ones. The applications of ports and industrial parks are provided to clarify the approaches appeared in this study. The results derived from the proposed strategies show the usefulness and validity of them.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"275-289"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0023
Josip Visković, Paško Burnać, I. Ramljak
This paper, using panel data analysis, tries to identify factors regarding the different convergence rates of CESEE EU member countries’ real income between 2002 and 2018. Stylized convergence facts are identified and the drivers of economic growth based on production function, i.e. the accumulation of labour and capital and total factor productivity (TFP) growth have been analysed. Moreover, paper takes into account other variables that have been recognized as growth determining factors – trade openness, FDI, labour market and integration level, as well as TFP determining factors – institutional quality, innovation and human capital. Based on the research results trade openness and gross capital formation have been identified as key factors regarding real income growth of analysed countries. Also, it has been confirmed that growth of CESEE countries is strongly affected by the growth of Eurozone. Finally, the authors’ conclusion is that several CESEE countries are facing institutional convergence challenges.
{"title":"Different convergence rates of new EU member states: Panel data analysis of the causes","authors":"Josip Visković, Paško Burnać, I. Ramljak","doi":"10.17535/crorr.2020.0023","DOIUrl":"https://doi.org/10.17535/crorr.2020.0023","url":null,"abstract":"This paper, using panel data analysis, tries to identify factors regarding the different convergence rates of CESEE EU member countries’ real income between 2002 and 2018. Stylized convergence facts are identified and the drivers of economic growth based on production function, i.e. the accumulation of labour and capital and total factor productivity (TFP) growth have been analysed. Moreover, paper takes into account other variables that have been recognized as growth determining factors – trade openness, FDI, labour market and integration level, as well as TFP determining factors – institutional quality, innovation and human capital. Based on the research results trade openness and gross capital formation have been identified as key factors regarding real income growth of analysed countries. Also, it has been confirmed that growth of CESEE countries is strongly affected by the growth of Eurozone. Finally, the authors’ conclusion is that several CESEE countries are facing institutional convergence challenges.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"291-300"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0020
Ana Perišić, M. Pahor
As markets are becoming increasingly saturated, many businesses are shifting their focus to customer retention. In their need to understand and predict future customer behavior, businesses across sectors are adopting data-driven business intelligence to deal with churn prediction. A good example of this approach to retention management is the mobile game industry. This business sector usually relies on a considerable amount of behavioral telemetry data that allows them to understand how users interact with games. This high-resolution information enables game companies to develop and adopt accurate models for detecting customers with a high attrition propensity. This paper focuses on building a churn prediction model for the mobile gaming market by utilizing logistic regression analysis in the extended recency, frequency and monetary (RFM) framework. The model relies on a large set of raw telemetry data that was transformed into interpretable game-independent features. Robust statistical measures and dominance analysis were applied in order to assess feature importance. Established features are used to develop a logistic model for churn prediction and to classify potential churners in a population of users, regardless of their lifetime.
{"title":"Extended RFM logit model for churn prediction in the mobile gaming market","authors":"Ana Perišić, M. Pahor","doi":"10.17535/crorr.2020.0020","DOIUrl":"https://doi.org/10.17535/crorr.2020.0020","url":null,"abstract":"As markets are becoming increasingly saturated, many businesses are shifting their focus to customer retention. In their need to understand and predict future customer behavior, businesses across sectors are adopting data-driven business intelligence to deal with churn prediction. A good example of this approach to retention management is the mobile game industry. This business sector usually relies on a considerable amount of behavioral telemetry data that allows them to understand how users interact with games. This high-resolution information enables game companies to develop and adopt accurate models for detecting customers with a high attrition propensity. This paper focuses on building a churn prediction model for the mobile gaming market by utilizing logistic regression analysis in the extended recency, frequency and monetary (RFM) framework. The model relies on a large set of raw telemetry data that was transformed into interpretable game-independent features. Robust statistical measures and dominance analysis were applied in order to assess feature importance. Established features are used to develop a logistic model for churn prediction and to classify potential churners in a population of users, regardless of their lifetime.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0024
I. Pervan, Ivana Dropulić
This study investigates the influence of integrated information systems (IIS) features on firm financial performance, more precisely return on asset (ROA). Research results, based on data obtained from 83 firms in 2018, confirmed the positive effect between IIS analytical capabilities on ROA, while IIS scope had negative effect on ROA. Estimated regression model revealed that IIS age and IIS implementation quality did not have any effect over firm financial performance. Findings from the study indicated that firms and IIS vendors should be careful in IIS design phase, taking into account that IIS design incorporates appropriate analytical capabilities required by business processes. Also, scope of selected IIS modules should be rational in order to avoid unnecessary IIS investment costs.
{"title":"The influence of integrated information systems on firm financial performance","authors":"I. Pervan, Ivana Dropulić","doi":"10.17535/crorr.2020.0024","DOIUrl":"https://doi.org/10.17535/crorr.2020.0024","url":null,"abstract":"This study investigates the influence of integrated information systems (IIS) features on firm financial performance, more precisely return on asset (ROA). Research results, based on data obtained from 83 firms in 2018, confirmed the positive effect between IIS analytical capabilities on ROA, while IIS scope had negative effect on ROA. Estimated regression model revealed that IIS age and IIS implementation quality did not have any effect over firm financial performance. Findings from the study indicated that firms and IIS vendors should be careful in IIS design phase, taking into account that IIS design incorporates appropriate analytical capabilities required by business processes. Also, scope of selected IIS modules should be rational in order to avoid unnecessary IIS investment costs.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"301-309"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0015
Masoud Mohammadzadeh, M. Sobhanallahi, A. Khamseh
The supply chain management is planning, implementation and effective control of supply chain operations considered as a key factor for the competitiveness of the organizations. To make these targets, four management strategies of lean, agile, resilient and green have been separately proposed. Recently, studies have been performed with a consideration of these four strategies simultaneously named LARG (Lean, Agile, Resilient and Green). However, due to the novelty of this subject, the mathematical modeling of SCND (Supply Chain Network Design) has not been addressed in LARG strategy. SCND is one of the most essential parts of supply chain management that strategic decisions of it have heavily effects in both overall and partial applicability of the supply chain. The goal of this paper is to design a closed loop supply chain network considering LARG strategy using multi-objective modeling with uncertain demand. The objective functions are total profit, customer satisfaction and total pollution. The model is formulated to determine which facility sites should be selected (strategic decisions), and find out the optimal number of parts and products in the network (tactical decisions). Finally, a real industrial case study is provided to illustrate the performance and applicability of the LARG strategy in SCND in practice.
{"title":"Closed loop supply chain mathematical modeling considering lean agile resilient and green strategies","authors":"Masoud Mohammadzadeh, M. Sobhanallahi, A. Khamseh","doi":"10.17535/crorr.2020.0015","DOIUrl":"https://doi.org/10.17535/crorr.2020.0015","url":null,"abstract":"The supply chain management is planning, implementation and effective control of supply chain operations considered as a key factor for the competitiveness of the organizations. To make these targets, four management strategies of lean, agile, resilient and green have been separately proposed. Recently, studies have been performed with a consideration of these four strategies simultaneously named LARG (Lean, Agile, Resilient and Green). However, due to the novelty of this subject, the mathematical modeling of SCND (Supply Chain Network Design) has not been addressed in LARG strategy. SCND is one of the most essential parts of supply chain management that strategic decisions of it have heavily effects in both overall and partial applicability of the supply chain. The goal of this paper is to design a closed loop supply chain network considering LARG strategy using multi-objective modeling with uncertain demand. The objective functions are total profit, customer satisfaction and total pollution. The model is formulated to determine which facility sites should be selected (strategic decisions), and find out the optimal number of parts and products in the network (tactical decisions). Finally, a real industrial case study is provided to illustrate the performance and applicability of the LARG strategy in SCND in practice.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":"177-197"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0019
J. Janáček, Marek Kvet
Mathematical modelling, and integer programming generally, has many practical applications in different areas of human life. Effective and fast solving approaches for various optimization problems play an important role in the decision-making process and therefore, big attention is paid to the development of many exact and approximate algorithms. This paper deals only with a special class of location problems in which given number of facilities are to be chosen to minimize the objective function value. Since the exact methods are not suitable for their unpredictable computational time or memory demands, we focus here on possible usage of a special type of a particle swarm optimization algorithm transformed by discretization and meme usage into so-called discrete self-organizing migrating algorithm. In the paper, there is confirmed that it is possible to suggest a sophisticated heuristic for zero-one programming problem, which can produce near-to-optimal solution in much smaller time than the time demanded by exact methods. We introduce a special adaptation of the discrete self-organizing migration algorithm to the $p$-location problem making use of the path-relinking method. In the theoretical part of this paper, we introduce several strategies of the migration process. To verify their features and effectiveness, a computational study with real-sized benchmarks was performed. The main goal of the experiments was to find the most efficient version of the suggested solving tool.
{"title":"Discrete self-organizing migration algorithm and p-location problems","authors":"J. Janáček, Marek Kvet","doi":"10.17535/crorr.2020.0019","DOIUrl":"https://doi.org/10.17535/crorr.2020.0019","url":null,"abstract":"Mathematical modelling, and integer programming generally, has many practical applications in different areas of human life. Effective and fast solving approaches for various optimization problems play an important role in the decision-making process and therefore, big attention is paid to the development of many exact and approximate algorithms. This paper deals only with a special class of location problems in which given number of facilities are to be chosen to minimize the objective function value. Since the exact methods are not suitable for their unpredictable computational time or memory demands, we focus here on possible usage of a special type of a particle swarm optimization algorithm transformed by discretization and meme usage into so-called discrete self-organizing migrating algorithm. In the paper, there is confirmed that it is possible to suggest a sophisticated heuristic for zero-one programming problem, which can produce near-to-optimal solution in much smaller time than the time demanded by exact methods. We introduce a special adaptation of the discrete self-organizing migration algorithm to the $p$-location problem making use of the path-relinking method. In the theoretical part of this paper, we introduce several strategies of the migration process. To verify their features and effectiveness, a computational study with real-sized benchmarks was performed. The main goal of the experiments was to find the most efficient version of the suggested solving tool.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.17535/crorr.2020.0016
Manal Hedid, R. Zitouni
In this paper, we will solve the four index fully fuzzy transportation problem (textit{FFTP$_{4}$}) with some adapted classical methods. All problem's data will be presented as fuzzy numbers. In order to defuzificate these data, we will use the ranking function procedure. Our method to solve the textit{FFTP$_{4}$} composed of two phases; in the first one, we will use an adaptation of well-known algorithms to find an initial feasible solution, which are the least cost, Russell's approximation and Vogel's approximation methods. In the second phase, we will test the optimality of the initial solution, if it is not optimal, we will improve it. A numerical analysis of the proposed methods is performed by solving different examples of different sizes; it is determined that they are stable, robust, and efficient. A proper comparative study between the adapted methods identifies the suitable method for solving textit{FFTP$_{4}$}.
{"title":"Solving the four index fully fuzzy transportation problem","authors":"Manal Hedid, R. Zitouni","doi":"10.17535/crorr.2020.0016","DOIUrl":"https://doi.org/10.17535/crorr.2020.0016","url":null,"abstract":"In this paper, we will solve the four index fully fuzzy transportation problem (textit{FFTP$_{4}$}) with some adapted classical methods. All problem's data will be presented as fuzzy numbers. In order to defuzificate these data, we will use the ranking function procedure. Our method to solve the textit{FFTP$_{4}$} composed of two phases; in the first one, we will use an adaptation of well-known algorithms to find an initial feasible solution, which are the least cost, Russell's approximation and Vogel's approximation methods. In the second phase, we will test the optimality of the initial solution, if it is not optimal, we will improve it. A numerical analysis of the proposed methods is performed by solving different examples of different sizes; it is determined that they are stable, robust, and efficient. A proper comparative study between the adapted methods identifies the suitable method for solving textit{FFTP$_{4}$}.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"11 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67613890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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