Hadi Nasseri - Academia.edu (original) (raw)
Papers by Hadi Nasseri
International Journal of Industrial Mathematics, Aug 1, 2020
The cross-efficiency ranking method is a well-known method in DEA which is frequently used under ... more The cross-efficiency ranking method is a well-known method in DEA which is frequently used under the constant returns to scale assumption; while various applications exist based on the variable returns to scale (VRS). This is due to the presence of negative input-oriented VRS cross-efficiencies. In this paper, each cross-efficiency is replaced by an equivalent distance measure as inefficiency measure. Then, the cross-inefficiency method is developed under the VRS assumption.
Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University, Mar 10, 2020
Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University, Oct 10, 2019
Journal of Computational Design and Engineering, Oct 23, 2021
In developing countries, the demand for old aged people requiring private health care at home is ... more In developing countries, the demand for old aged people requiring private health care at home is dramatically growing with the improvement of living standards. Since vehicles are used for transferring the medical staff (or doctors) to patient homes, it may be interesting to select a vehicle type based on the cost, capacity, and environmental sustainability (fuel consumption and CO2 gas emission per unit of distance) to maximize profits and social responsibility. In this paper, the first contribution, a new green home health care network for location, allocation, scheduling, and routing problems is developed with uncertain conditions. Another novelty, the time window to serve patients is also considered. In this regard, a novel grey flexible linear programming model is developed to cope with the uncertain nature of costs and capacity parameters that is as one important novelty. Due to this model's high complexity and difficulty in large-scale instances, this research develops two novel hybrid algorithms. The first hybrid strategy called the HSEOSA algorithm combines the Social Engineering Optimizer algorithm with the Simulated Annealing method. In terms of contribution to the related solution methodology, additionally, the Keshtel Algorithm is incorporated with the Genetic Algorithm called the HGAKA algorithm as the second new hybrid metaheuristic. An extensive comparison among the proposed algorithms is performed to find the most efficient one for the application of home healthcare in real practice. To validate the proposed model, a novel real case study is illustrated in the home healthcare services in Tehran/Iran.
Rairo-operations Research, May 1, 2021
One of the main topics discussed in a supply chain is the production-distribution problem. Produc... more One of the main topics discussed in a supply chain is the production-distribution problem. Producing and distributing the products plays a key role in reducing the costs of the chain. To design a supply chain, a network of efficient management and production-distribution decisions is essential. Accordingly, providing an appropriate mathematical model for such problems can be helpful in designing and managing supply chain networks. Mathematical formulations must be drawn close to the real world due to the importance of supply chain networks. This makes those formulations more complicated. In this study, a novel multi-objective formulation is devised for the production-distribution problem of a supply chain that consists of several suppliers, manufacturers, distributors, and different customers. Also, a Mixed Integer Linear Programming (MILP) mathematical model is proposed for designing a multi-objective and multi-period supply chain network. In addition, grey flexible linear programming (GFLP) is done for a multi-objective production-distribution problem in a supply chain network. The network is designed for the first time to cope with the uncertain nature of costs, demands, and capacity parameters. In this regard, due to the NP-hardness and complexity of problems and the necessity of using meta-heuristic algorithms, NSGA-II and Fast PGA algorithm are applied and compared in terms of several criteria that emphasize the quality and diversity of the solutions.
International Journal of Research, 2017
Supplier selection is one of the most critical activities of purchasing management in a supply ch... more Supplier selection is one of the most critical activities of purchasing management in a supply chain. Because selecting right suppliers helps reduce purchasing costs, improve quality of final products and services, etc. In a real situation, for a supplier selection problem, most of the input information is not known precisely, since decision making deal with human judgment and comprehension and its nature includes ambiguity. In fact, on the one hand, deterministic models cannot easily take this vagueness into account. In these cases, the theory of fuzzy sets is one of the best tools to handle uncertainty. On the other hand, Kumar et al. proposed a new approach to find the fuzzy optimal solution of fully fuzzy linear programming problem. So, using this approach in this paper, we present a new mixed integer multi objective linear programming model for supplier selection problem. Due to uncertainty of the data, in continuation, we present a new method to solve multi objective fully fuz...
Buildings
Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities... more Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities throughout the decision-making (DM) process. Adopting a DM strategy in conditions of indeterminacy so that the decision makers are limited to a small number of experts is always helpful in real life. Neutrosophic conception is a convenient technique for handling inconsistent, ambiguous, and uncertain values. This research presents an autocratic DM strategy based on Neutrosophic Sets (NSs) to address these ambiguities. The essential component of the suggested technique is the conversion of diverse management decision and weight matrices into a unified evaluation matrix. Supplier Selection (SS) is a multi-criteria decision-making problem where a limited number of alternative suppliers are evaluated using a limited set of criteria. The suggested methodology based on different score functions is applied to SS issues involving construction materials. The numerical illustrations indicate the ...
Journal of Computational Design and Engineering, 2021
In developing countries, the demand for old aged people requiring private health care at home is ... more In developing countries, the demand for old aged people requiring private health care at home is dramatically growing with the improvement of living standards. Since vehicles are used for transferring the medical staff (or doctors) to patient homes, it may be interesting to select a vehicle type based on the cost, capacity, and environmental sustainability (fuel consumption and CO2 gas emission per unit of distance) to maximize profits and social responsibility. In this paper, the first contribution, a new green home health care network for location, allocation, scheduling, and routing problems is developed with uncertain conditions. Another novelty, the time window to serve patients is also considered. In this regard, a novel grey flexible linear programming model is developed to cope with the uncertain nature of costs and capacity parameters that is as one important novelty. Due to this model’s high complexity and difficulty in large-scale instances, this research develops two nov...
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2020
Highlights • Present a technique to convert every Interval Neutrosophic problem into the crisp mo... more Highlights • Present a technique to convert every Interval Neutrosophic problem into the crisp model. • A powerful tool for dealing with indeterminate and inconsistent information. • A technique for solving and optimizing the problems based on uncertainty.
2019 International Conference on Industrial Engineering and Systems Management (IESM), 2019
Good distribution of commodities from depots to predefined customers is an important factor on to... more Good distribution of commodities from depots to predefined customers is an important factor on total costs, so this problem is expanded by many scholars to be more realistic, and then good management leads to achieve lower costs and more satisfaction for customers and companies. Several kinds of vehicle routing problems (VRPs) have been proposed in this area. In this paper, we combine three types of VRPs: multi-depot VRP, close and open VRP and heterogeneous VRP (HVRP) considering that each vehicle does not need to come back to the original depot. The goal of the problem is to minimize total costs and exceed from an average traveled distance for each type of vehicle internal drivers to make a fair between internal drivers. Thus, we use an augmented in−\in -in− constraint method to achieve several optimal solutions. Finally, we use aggregate AHP-TOPSIS to obtain the best solution for the presented model.
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2007
The fuzzy set theory has been applied in many fields, such as operations research, control theory... more The fuzzy set theory has been applied in many fields, such as operations research, control theory, and management sciences, etc. In particular, an application of this theory in decision making problems is linear programming problems with fuzzy numbers. In this study, we present a new method for solving fuzzy number linear programming problems, by use of linear ranking function. In fact, our method is similar to simplex method that was used for solving linear programming problems in crisp environment before.
Ranking fuzzy numbers plays an important role in linguistic decision making and some other fuzzy ... more Ranking fuzzy numbers plays an important role in linguistic decision making and some other fuzzy application systems such as management, operations research and etc. Many methods have been proposed to deal with ranking fuzzy numbers. In 2006, Yong Deng, Zhu Zhenfu and Liu Qi presented a method to rank fuzzy numbers. They employed radius of gyration rank fuzzy numbers; however there were some problems with the ranking method. Recently the revised Tsao method is proposed for ranking fuzzy number which was over-came the short coming of the privous method. On the other hand, usually the fuzzy primal simplex algorithm is designed based on ranking fuzzy numbers. Hence, in this paper, using the revised Tsao method for solving fuzzy linear programming is proposed.
Journal of Optimization in Industrial Engineering, 2021
In this paper, we first introduce a new category of mathematical programming where the problem co... more In this paper, we first introduce a new category of mathematical programming where the problem coefficients are interval random variables. These problems include two different kinds of ambiguity in the problem coefficients which are being interval and being random. We use Fractile method to solve these problems. In this method, using the existing method, we change the interval problem coefficients to random mode and then we solve the random problem using Fractile method. Also, a numerical example is presented to show the effectiveness of this model. Finally, we emphasize that this approach can be useful for the model with multi-objective as a generalized model in the future study.
Iranian Journal of Management Studies, 2019
Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unre... more Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unrealistic weights pattern with no need to a priori information related to weights restrictions. This method analyzes each decision making unit (DMU) taking into account the best weights resulted from assessing other DMUs. In cross-efficiency evaluation, secondary goals such as aggressiveness, benevolence and neutrality are used because there are alternative optimal solutions. The neutral secondary goal makes the decision maker have no problem in selecting the aggressive and benevolent secondary goals. In the article at hand, a new secondary purpose is introduced which selects the optimal weight among the multiple optimal weights based on the evaluation of ideal virtual DMUs corresponding to each DMU. Since this kind of weight selection does not lead to any increase or decrease in other DMUs’ cross-efficiency, the new secondary goal is neutral. The advantage of this metho...
In this paper we emphasize that the definition of positive fuzzy number in D.Dubois, H. Prade, Fu... more In this paper we emphasize that the definition of positive fuzzy number in D.Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980 (page 49), and also recently quoted for solving fully fuzzy linear systems in M. Dehghan et al., Applied Mathematics and Computation 179 (2006) 328-343, is in fact a definition for the nonnegative fuzzy number. Moreover, we give two different definitions for nonnegative and positive triangular fuzzy numbers to eliminate this shortcoming.
The aim of the present study was to identify fungi that cause deterioration of historical leather... more The aim of the present study was to identify fungi that cause deterioration of historical leather in the storage room, compare quantitative compounds of elements present in historical leather and new ones, and check the ability of the isolated fungi from recently leather book to colonize new leather. The leather binding was evaluated by visual assessment, SEM, isolation and identification of fungi and Fourier Transform Infrared Spectroscopy (FTIR). Goat skin was identified as the animal skin of the bookbinding, Cladosporium cladosporioides, Aspergillus tamarii, Eurotium chevalieri, Aspergillus fumigatus, Wallemia sebi, and Fusarium poae were the most dominant species of fungi found on the leather book binding. Based on the EDX analysis of leather binding and new leather sample, some changes happened in the old leather due to bio deterioration factors and causes of changes in the elements rate.
In this paper we survey the inventory problem for item's which delay occurred for supply them... more In this paper we survey the inventory problem for item's which delay occurred for supply them. In this situation the shortage of inventory happen and order which encounter shortage, will increase and make backorders and impose new costs on inventory system and impact on optimal quantity of order in EOQ model. Since in practice and in real situations we don't have accurate value for much data of model, we determine the optimal order quantity in fuzzy sense. For this objective first we consider an EOQ model with fuzzy costs and then we consider EOQ model with fuzzy backorder and for deffuzify of these two fuzzy models we employ signed distance, a defuzzification method for fuzzy number. At the end of this paper for imply the application of proposed model we mention a numerical example and furthermore we compare the result of fuzzy case with those of crisp case for one item.
In this paper, we generalize a linear programming problem with symmetric trapezoidal fuzzy num... more In this paper, we generalize a linear programming problem with symmetric trapezoidal fuzzy number which is introduced by Ganesan and et al. in [3] to a general kind of trapezoidal fuzzy number. In this way, we first establish a new arithmetic operation for multiplication of two trapezoidal fuzzy numbers. Then in order to preparing a method for solving the fuzzy linear programming as well as the primal simplex algorithm, we use a general linear ranking function as a convenient approach in the literature. In fact, our main contribution in this work is based on 3 items: 1) Extending the current fuzzy linear program to a general kind which is not essentially including the symmetric trapezoidal fuzzy numbers , 2) Defining a new multiplication role of two trapezoidal fuzzy numbers, 3) Establishing a fuzzy primal simplex algorithm for solving the generalized model. We in particular emphasize that this study can be used for establishing fuzzy dual simplex algorithm, fuzzy prima...
Irrigation water management is crucial for agricultural production and livelihood security in man... more Irrigation water management is crucial for agricultural production and livelihood security in many regions and countries throughout the world. Over the past decades, controversial and conflictladen water-allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural conditions and shrinking water availabilities have exacerbated such competitions. Shrinking water availabilities can result in reduced water supplies, while growing population can lead to increased water demands, these two facts can further intensify the water shortage. Stochastic programming methodology is applied in this paper to a capital investment problem in water resources. A framework is offered for the evaluation of electricity generation and water supply for agricultural irrigation. This essessment is conducted through the construction of an appropriate stochastic optimization model. A recursive least squares a...
International Journal of Industrial Mathematics, Aug 1, 2020
The cross-efficiency ranking method is a well-known method in DEA which is frequently used under ... more The cross-efficiency ranking method is a well-known method in DEA which is frequently used under the constant returns to scale assumption; while various applications exist based on the variable returns to scale (VRS). This is due to the presence of negative input-oriented VRS cross-efficiencies. In this paper, each cross-efficiency is replaced by an equivalent distance measure as inefficiency measure. Then, the cross-inefficiency method is developed under the VRS assumption.
Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University, Mar 10, 2020
Journal of Operational Research In Its Applications ( Applied Mathematics ) - Lahijan Azad University, Oct 10, 2019
Journal of Computational Design and Engineering, Oct 23, 2021
In developing countries, the demand for old aged people requiring private health care at home is ... more In developing countries, the demand for old aged people requiring private health care at home is dramatically growing with the improvement of living standards. Since vehicles are used for transferring the medical staff (or doctors) to patient homes, it may be interesting to select a vehicle type based on the cost, capacity, and environmental sustainability (fuel consumption and CO2 gas emission per unit of distance) to maximize profits and social responsibility. In this paper, the first contribution, a new green home health care network for location, allocation, scheduling, and routing problems is developed with uncertain conditions. Another novelty, the time window to serve patients is also considered. In this regard, a novel grey flexible linear programming model is developed to cope with the uncertain nature of costs and capacity parameters that is as one important novelty. Due to this model's high complexity and difficulty in large-scale instances, this research develops two novel hybrid algorithms. The first hybrid strategy called the HSEOSA algorithm combines the Social Engineering Optimizer algorithm with the Simulated Annealing method. In terms of contribution to the related solution methodology, additionally, the Keshtel Algorithm is incorporated with the Genetic Algorithm called the HGAKA algorithm as the second new hybrid metaheuristic. An extensive comparison among the proposed algorithms is performed to find the most efficient one for the application of home healthcare in real practice. To validate the proposed model, a novel real case study is illustrated in the home healthcare services in Tehran/Iran.
Rairo-operations Research, May 1, 2021
One of the main topics discussed in a supply chain is the production-distribution problem. Produc... more One of the main topics discussed in a supply chain is the production-distribution problem. Producing and distributing the products plays a key role in reducing the costs of the chain. To design a supply chain, a network of efficient management and production-distribution decisions is essential. Accordingly, providing an appropriate mathematical model for such problems can be helpful in designing and managing supply chain networks. Mathematical formulations must be drawn close to the real world due to the importance of supply chain networks. This makes those formulations more complicated. In this study, a novel multi-objective formulation is devised for the production-distribution problem of a supply chain that consists of several suppliers, manufacturers, distributors, and different customers. Also, a Mixed Integer Linear Programming (MILP) mathematical model is proposed for designing a multi-objective and multi-period supply chain network. In addition, grey flexible linear programming (GFLP) is done for a multi-objective production-distribution problem in a supply chain network. The network is designed for the first time to cope with the uncertain nature of costs, demands, and capacity parameters. In this regard, due to the NP-hardness and complexity of problems and the necessity of using meta-heuristic algorithms, NSGA-II and Fast PGA algorithm are applied and compared in terms of several criteria that emphasize the quality and diversity of the solutions.
International Journal of Research, 2017
Supplier selection is one of the most critical activities of purchasing management in a supply ch... more Supplier selection is one of the most critical activities of purchasing management in a supply chain. Because selecting right suppliers helps reduce purchasing costs, improve quality of final products and services, etc. In a real situation, for a supplier selection problem, most of the input information is not known precisely, since decision making deal with human judgment and comprehension and its nature includes ambiguity. In fact, on the one hand, deterministic models cannot easily take this vagueness into account. In these cases, the theory of fuzzy sets is one of the best tools to handle uncertainty. On the other hand, Kumar et al. proposed a new approach to find the fuzzy optimal solution of fully fuzzy linear programming problem. So, using this approach in this paper, we present a new mixed integer multi objective linear programming model for supplier selection problem. Due to uncertainty of the data, in continuation, we present a new method to solve multi objective fully fuz...
Buildings
Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities... more Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities throughout the decision-making (DM) process. Adopting a DM strategy in conditions of indeterminacy so that the decision makers are limited to a small number of experts is always helpful in real life. Neutrosophic conception is a convenient technique for handling inconsistent, ambiguous, and uncertain values. This research presents an autocratic DM strategy based on Neutrosophic Sets (NSs) to address these ambiguities. The essential component of the suggested technique is the conversion of diverse management decision and weight matrices into a unified evaluation matrix. Supplier Selection (SS) is a multi-criteria decision-making problem where a limited number of alternative suppliers are evaluated using a limited set of criteria. The suggested methodology based on different score functions is applied to SS issues involving construction materials. The numerical illustrations indicate the ...
Journal of Computational Design and Engineering, 2021
In developing countries, the demand for old aged people requiring private health care at home is ... more In developing countries, the demand for old aged people requiring private health care at home is dramatically growing with the improvement of living standards. Since vehicles are used for transferring the medical staff (or doctors) to patient homes, it may be interesting to select a vehicle type based on the cost, capacity, and environmental sustainability (fuel consumption and CO2 gas emission per unit of distance) to maximize profits and social responsibility. In this paper, the first contribution, a new green home health care network for location, allocation, scheduling, and routing problems is developed with uncertain conditions. Another novelty, the time window to serve patients is also considered. In this regard, a novel grey flexible linear programming model is developed to cope with the uncertain nature of costs and capacity parameters that is as one important novelty. Due to this model’s high complexity and difficulty in large-scale instances, this research develops two nov...
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2020
Highlights • Present a technique to convert every Interval Neutrosophic problem into the crisp mo... more Highlights • Present a technique to convert every Interval Neutrosophic problem into the crisp model. • A powerful tool for dealing with indeterminate and inconsistent information. • A technique for solving and optimizing the problems based on uncertainty.
2019 International Conference on Industrial Engineering and Systems Management (IESM), 2019
Good distribution of commodities from depots to predefined customers is an important factor on to... more Good distribution of commodities from depots to predefined customers is an important factor on total costs, so this problem is expanded by many scholars to be more realistic, and then good management leads to achieve lower costs and more satisfaction for customers and companies. Several kinds of vehicle routing problems (VRPs) have been proposed in this area. In this paper, we combine three types of VRPs: multi-depot VRP, close and open VRP and heterogeneous VRP (HVRP) considering that each vehicle does not need to come back to the original depot. The goal of the problem is to minimize total costs and exceed from an average traveled distance for each type of vehicle internal drivers to make a fair between internal drivers. Thus, we use an augmented in−\in -in− constraint method to achieve several optimal solutions. Finally, we use aggregate AHP-TOPSIS to obtain the best solution for the presented model.
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2007
The fuzzy set theory has been applied in many fields, such as operations research, control theory... more The fuzzy set theory has been applied in many fields, such as operations research, control theory, and management sciences, etc. In particular, an application of this theory in decision making problems is linear programming problems with fuzzy numbers. In this study, we present a new method for solving fuzzy number linear programming problems, by use of linear ranking function. In fact, our method is similar to simplex method that was used for solving linear programming problems in crisp environment before.
Ranking fuzzy numbers plays an important role in linguistic decision making and some other fuzzy ... more Ranking fuzzy numbers plays an important role in linguistic decision making and some other fuzzy application systems such as management, operations research and etc. Many methods have been proposed to deal with ranking fuzzy numbers. In 2006, Yong Deng, Zhu Zhenfu and Liu Qi presented a method to rank fuzzy numbers. They employed radius of gyration rank fuzzy numbers; however there were some problems with the ranking method. Recently the revised Tsao method is proposed for ranking fuzzy number which was over-came the short coming of the privous method. On the other hand, usually the fuzzy primal simplex algorithm is designed based on ranking fuzzy numbers. Hence, in this paper, using the revised Tsao method for solving fuzzy linear programming is proposed.
Journal of Optimization in Industrial Engineering, 2021
In this paper, we first introduce a new category of mathematical programming where the problem co... more In this paper, we first introduce a new category of mathematical programming where the problem coefficients are interval random variables. These problems include two different kinds of ambiguity in the problem coefficients which are being interval and being random. We use Fractile method to solve these problems. In this method, using the existing method, we change the interval problem coefficients to random mode and then we solve the random problem using Fractile method. Also, a numerical example is presented to show the effectiveness of this model. Finally, we emphasize that this approach can be useful for the model with multi-objective as a generalized model in the future study.
Iranian Journal of Management Studies, 2019
Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unre... more Cross-efficiency is a famous ranking method for data envelopment analysis (DEA) that deletes unrealistic weights pattern with no need to a priori information related to weights restrictions. This method analyzes each decision making unit (DMU) taking into account the best weights resulted from assessing other DMUs. In cross-efficiency evaluation, secondary goals such as aggressiveness, benevolence and neutrality are used because there are alternative optimal solutions. The neutral secondary goal makes the decision maker have no problem in selecting the aggressive and benevolent secondary goals. In the article at hand, a new secondary purpose is introduced which selects the optimal weight among the multiple optimal weights based on the evaluation of ideal virtual DMUs corresponding to each DMU. Since this kind of weight selection does not lead to any increase or decrease in other DMUs’ cross-efficiency, the new secondary goal is neutral. The advantage of this metho...
In this paper we emphasize that the definition of positive fuzzy number in D.Dubois, H. Prade, Fu... more In this paper we emphasize that the definition of positive fuzzy number in D.Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980 (page 49), and also recently quoted for solving fully fuzzy linear systems in M. Dehghan et al., Applied Mathematics and Computation 179 (2006) 328-343, is in fact a definition for the nonnegative fuzzy number. Moreover, we give two different definitions for nonnegative and positive triangular fuzzy numbers to eliminate this shortcoming.
The aim of the present study was to identify fungi that cause deterioration of historical leather... more The aim of the present study was to identify fungi that cause deterioration of historical leather in the storage room, compare quantitative compounds of elements present in historical leather and new ones, and check the ability of the isolated fungi from recently leather book to colonize new leather. The leather binding was evaluated by visual assessment, SEM, isolation and identification of fungi and Fourier Transform Infrared Spectroscopy (FTIR). Goat skin was identified as the animal skin of the bookbinding, Cladosporium cladosporioides, Aspergillus tamarii, Eurotium chevalieri, Aspergillus fumigatus, Wallemia sebi, and Fusarium poae were the most dominant species of fungi found on the leather book binding. Based on the EDX analysis of leather binding and new leather sample, some changes happened in the old leather due to bio deterioration factors and causes of changes in the elements rate.
In this paper we survey the inventory problem for item's which delay occurred for supply them... more In this paper we survey the inventory problem for item's which delay occurred for supply them. In this situation the shortage of inventory happen and order which encounter shortage, will increase and make backorders and impose new costs on inventory system and impact on optimal quantity of order in EOQ model. Since in practice and in real situations we don't have accurate value for much data of model, we determine the optimal order quantity in fuzzy sense. For this objective first we consider an EOQ model with fuzzy costs and then we consider EOQ model with fuzzy backorder and for deffuzify of these two fuzzy models we employ signed distance, a defuzzification method for fuzzy number. At the end of this paper for imply the application of proposed model we mention a numerical example and furthermore we compare the result of fuzzy case with those of crisp case for one item.
In this paper, we generalize a linear programming problem with symmetric trapezoidal fuzzy num... more In this paper, we generalize a linear programming problem with symmetric trapezoidal fuzzy number which is introduced by Ganesan and et al. in [3] to a general kind of trapezoidal fuzzy number. In this way, we first establish a new arithmetic operation for multiplication of two trapezoidal fuzzy numbers. Then in order to preparing a method for solving the fuzzy linear programming as well as the primal simplex algorithm, we use a general linear ranking function as a convenient approach in the literature. In fact, our main contribution in this work is based on 3 items: 1) Extending the current fuzzy linear program to a general kind which is not essentially including the symmetric trapezoidal fuzzy numbers , 2) Defining a new multiplication role of two trapezoidal fuzzy numbers, 3) Establishing a fuzzy primal simplex algorithm for solving the generalized model. We in particular emphasize that this study can be used for establishing fuzzy dual simplex algorithm, fuzzy prima...
Irrigation water management is crucial for agricultural production and livelihood security in man... more Irrigation water management is crucial for agricultural production and livelihood security in many regions and countries throughout the world. Over the past decades, controversial and conflictladen water-allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural conditions and shrinking water availabilities have exacerbated such competitions. Shrinking water availabilities can result in reduced water supplies, while growing population can lead to increased water demands, these two facts can further intensify the water shortage. Stochastic programming methodology is applied in this paper to a capital investment problem in water resources. A framework is offered for the evaluation of electricity generation and water supply for agricultural irrigation. This essessment is conducted through the construction of an appropriate stochastic optimization model. A recursive least squares a...