Presenting a multi-objective mathematical model of multi-product and multi-stage fuzzy production planning for several periods in Gamz software
Subject Areas :
Industrial Management
Aslan Doosti
1
,
saeid Rezaie Moghadam saeid Rezaie Moghadam
2
1 - Department of Mathematics, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran.
2 - managemet.faculty of azad university
Received: 2021-01-04
Accepted : 2021-10-15
Published : 2022-05-29
Keywords:
Production Planning,
multi-stage,
Multi-product,
Fuzzy multi-objective mathematical model,
Abstract :
In manufacturing and service processes, facing conditions of uncertainty and changes in the amount of data used in the model causes variable parameters, and therefore it is not uncommon to expect such conditions in decision making. Therefore, not paying attention to such changes causes deviation in planning and deviation from the real situation and causes a lot of damage in the mentioned environments. Due to the importance of the issue, in this paper, the fuzzy optimization approach is used to deal with the uncertainty in the parameters of uncertainty of production stages and product quality in the manufacturer's center and model reconstruction center. The present study intends to design a mathematical model of a multi-objective production program and optimize it to minimize the cost of inventory, production, and manpower, and the maximum quality of the product and maximize the maximum occurrence of uncertainty at each stage of production that causes bottlenecks. It can increase the profitability of Borujen Concrete Parts Company. The results of solving the model by coding in Gamz software and using the comprehensive criterion method include the values of objective functions and decision variables. The results were approved by the officials of Borujen Stream Concrete Parts Company.
References:
Aghajani, F., & Mirzapour Al-e-hashem, M. J. (2020). A multi-objective mathematical model for production-distribution scheduling problem. Journal of Industrial and Systems Engineering, 13 (Special issue: 16th International Industrial Engineering Conference), 121-132.
Azar, A., Andalib Ardakani, D., & Mir Fakhr-Al-Dini, S. H. (2012). Designing a mathematical model of production planning deficit with a fuzzy approach studied. Middle East Furniture Company, Quarterly Journal of Industrial Management Studies. (22):23-40. (In Persian).
Azar, A., & Farrokh, M. (2020). Mathematical programming in the uncertainty of stochastic, fuzzy and solid approaches. Organization for the Study and Compilation of University Humanities Books. (In Persian).
Azar, A., & Sadat Hosseini, A. (2014). Designing a multi-product production planning model in the supply chain based on the ideal planning approach Case study: Burns Industrial Group, Quarterly Journal of Industrial Meditation Studies, 12 (34), 1-17. (In Persian).
Esteso, A., Alemany, M. M. E., Ortiz, Á., & Peidro, D. (2018). A multi-objective model for inventory and planned production reassignment to committed orders with homogeneity requirements. Computers & Industrial Engineering, 124, 180-194.
Gholamrezaei, R. M., & Zare, H. K. (2015). A Model Of Production Planning With Multi-Product, Multi Time Period. Production And Operations Management, 1(10), 61- 78. (In Persian)
Gholamrezaei, R. M., & Zare, H. K. (2015). Development of a multi-product, multi-period and multi-objective production planning model with fuzzy parameters. Production and Operations Management Quarterly, 6 (1). (In Persian)
Razavi Hajiagha, S. H., Hashemi, S., & Sadeghi, M. (2019). Hybrid fuzzy-stochastic approach to multi-product, multi-period, and multi-resource master production scheduling problem: Case of a polyethylene pipe and fitting manufacturer. Scientia Iranica, 26(3), 1809-1823.
Hosseini, M. A., Ehsanfar, B., & Akhavan, A. (2015). Modeling and Problem Solving Multi-objective Production Planning in Fuzzy Conditions Using Hierarchical Analysis Approach, International Conference on Applied Research in Management, Industrial Engineering, Economics and Accounting with Acquisition Development Approach And work . (In Persian)
Khodaei Ardakani, P., Pouya, A., & Effati, S. (2014). Design of Fuzzy Multi-Objective Linear Planning Model in Production Planning (Case Study: Golchakan Zamani Factory) Thesis of the Ministry of Science, Research and Technology - Ferdowsi University of Mashhad - Faculty of Economics and Administrative Sciences. (In Persian)
Liu, J., Li, C., Yang, F., Wan, H., & Uzsoy, R. (2011, December). Production planning for semiconductor manufacturing via simulation optimization. In Proceedings of the 2011 winter simulation conference (WSC) (pp. 3612-3622). IEEE.
Nagarur, N., Vrat, P., & Duongsuwan, W. (1997). Production planning and scheduling for injection moulding of pipe fittings A case study. International journal of production economics, 53(2), 157-170.
Nobil, A. H., & Kazemi, A. (2016). Presenting a multi-objective fuzzy model for integrated production-distribution planning in a four-level closed-loop supply chain. International Journal of Industrial Engineering and Production Management 27(1). (in persian)
Ramyar, M., Mehdizadeh, E., & Hadji Molana, M. (2017). Optimizing reliability and cost of system for aggregate production planning in supply chain. Scientia Iranica, 24(6), 3394-3408.
Razavi, S. H. H. A., Akrami, H., & Hashemi, S. S. (2013). Fuzzy Interactive Approach to Solve Multi-Product Multi-Product Production Planning Problem, Journal of Industrial Management Studies (In Persian)
Rezaei nik, E., & Asadi Zeidabadi, S. (2016). Presenting a Multi-Objective Production Planning Model Based on Scenario-Based Approach in the Uncertainty Environment of Non-Governmental Higher Education Institutions - Sajjad University of Technology - Faculty of Industrial Engineering (In Persian).
Rezaie Moghaddam, S., Yousefi, A., Karbasian, M., & Khayyam, B. B. (2018). A robust optimization model for multi-factory integrated production planning of perishable products under conditions of uncertainty with consideration of deferral policy, Quarterly Journal of Industrial Management Studies, 43, 27-51. (In Persian)
Rezig, S., Ezzeddine, W., Turki, S., & Rezg, N. (2020). Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems. Mathematics, 8(6), 955.
Salamati Hormozi, H., Shahraky, M. (2016). Fuzzy production planning model with production time window and failure of orders in the production production system in order to order. 4th Joint Congress of Fuzzy and Intelligent Systems of Iran. (In Persian).
Salehi, M., Kamalabadi, I. N., & Hamzehi, A. (2011). Production planning model for several products, several products and several periods under special demand Fourth International Conference of the Iranian Association for Opereation Research. (In Persian)
Tolouei Ashlaghi, A., Ehtesham, R. R., Nazemi, J., & Alborzi, M. (2014). Design and Mathematical Model of Production Planning Process and Inventory Control in Reverse Supply Chain, Journal of Development and Transformation Management, 8. (In Persian)
_||_
Aghajani, F., & Mirzapour Al-e-hashem, M. J. (2020). A multi-objective mathematical model for production-distribution scheduling problem. Journal of Industrial and Systems Engineering, 13 (Special issue: 16th International Industrial Engineering Conference), 121-132.
Azar, A., Andalib Ardakani, D., & Mir Fakhr-Al-Dini, S. H. (2012). Designing a mathematical model of production planning deficit with a fuzzy approach studied. Middle East Furniture Company, Quarterly Journal of Industrial Management Studies. (22):23-40. (In Persian).
Azar, A., & Farrokh, M. (2020). Mathematical programming in the uncertainty of stochastic, fuzzy and solid approaches. Organization for the Study and Compilation of University Humanities Books. (In Persian).
Azar, A., & Sadat Hosseini, A. (2014). Designing a multi-product production planning model in the supply chain based on the ideal planning approach Case study: Burns Industrial Group, Quarterly Journal of Industrial Meditation Studies, 12 (34), 1-17. (In Persian).
Esteso, A., Alemany, M. M. E., Ortiz, Á., & Peidro, D. (2018). A multi-objective model for inventory and planned production reassignment to committed orders with homogeneity requirements. Computers & Industrial Engineering, 124, 180-194.
Gholamrezaei, R. M., & Zare, H. K. (2015). A Model Of Production Planning With Multi-Product, Multi Time Period. Production And Operations Management, 1(10), 61- 78. (In Persian)
Gholamrezaei, R. M., & Zare, H. K. (2015). Development of a multi-product, multi-period and multi-objective production planning model with fuzzy parameters. Production and Operations Management Quarterly, 6 (1). (In Persian)
Razavi Hajiagha, S. H., Hashemi, S., & Sadeghi, M. (2019). Hybrid fuzzy-stochastic approach to multi-product, multi-period, and multi-resource master production scheduling problem: Case of a polyethylene pipe and fitting manufacturer. Scientia Iranica, 26(3), 1809-1823.
Hosseini, M. A., Ehsanfar, B., & Akhavan, A. (2015). Modeling and Problem Solving Multi-objective Production Planning in Fuzzy Conditions Using Hierarchical Analysis Approach, International Conference on Applied Research in Management, Industrial Engineering, Economics and Accounting with Acquisition Development Approach And work . (In Persian)
Khodaei Ardakani, P., Pouya, A., & Effati, S. (2014). Design of Fuzzy Multi-Objective Linear Planning Model in Production Planning (Case Study: Golchakan Zamani Factory) Thesis of the Ministry of Science, Research and Technology - Ferdowsi University of Mashhad - Faculty of Economics and Administrative Sciences. (In Persian)
Liu, J., Li, C., Yang, F., Wan, H., & Uzsoy, R. (2011, December). Production planning for semiconductor manufacturing via simulation optimization. In Proceedings of the 2011 winter simulation conference (WSC) (pp. 3612-3622). IEEE.
Nagarur, N., Vrat, P., & Duongsuwan, W. (1997). Production planning and scheduling for injection moulding of pipe fittings A case study. International journal of production economics, 53(2), 157-170.
Nobil, A. H., & Kazemi, A. (2016). Presenting a multi-objective fuzzy model for integrated production-distribution planning in a four-level closed-loop supply chain. International Journal of Industrial Engineering and Production Management 27(1). (in persian)
Ramyar, M., Mehdizadeh, E., & Hadji Molana, M. (2017). Optimizing reliability and cost of system for aggregate production planning in supply chain. Scientia Iranica, 24(6), 3394-3408.
Razavi, S. H. H. A., Akrami, H., & Hashemi, S. S. (2013). Fuzzy Interactive Approach to Solve Multi-Product Multi-Product Production Planning Problem, Journal of Industrial Management Studies (In Persian)
Rezaei nik, E., & Asadi Zeidabadi, S. (2016). Presenting a Multi-Objective Production Planning Model Based on Scenario-Based Approach in the Uncertainty Environment of Non-Governmental Higher Education Institutions - Sajjad University of Technology - Faculty of Industrial Engineering (In Persian).
Rezaie Moghaddam, S., Yousefi, A., Karbasian, M., & Khayyam, B. B. (2018). A robust optimization model for multi-factory integrated production planning of perishable products under conditions of uncertainty with consideration of deferral policy, Quarterly Journal of Industrial Management Studies, 43, 27-51. (In Persian)
Rezig, S., Ezzeddine, W., Turki, S., & Rezg, N. (2020). Mathematical Model for Production Plan Optimization—A Case Study of Discrete Event Systems. Mathematics, 8(6), 955.
Salamati Hormozi, H., Shahraky, M. (2016). Fuzzy production planning model with production time window and failure of orders in the production production system in order to order. 4th Joint Congress of Fuzzy and Intelligent Systems of Iran. (In Persian).
Salehi, M., Kamalabadi, I. N., & Hamzehi, A. (2011). Production planning model for several products, several products and several periods under special demand Fourth International Conference of the Iranian Association for Opereation Research. (In Persian)
Tolouei Ashlaghi, A., Ehtesham, R. R., Nazemi, J., & Alborzi, M. (2014). Design and Mathematical Model of Production Planning Process and Inventory Control in Reverse Supply Chain, Journal of Development and Transformation Management, 8. (In Persian)