Abstract:Cellular manufacturing (CM) has been identified as an innovative practice for manufacturer to achieve efficiency as well as flexibility under an uncertain environment. This study addresses a new mathematical robust model for a cellular manufacturing problem integrated with tactical aspects under supply chain network characteristics in the presence of uncertain internal parameter (processing times) and external parameter (demands). The model aims to minimize total cost consisting expected value and variance of … Show more
“…It is a comprehensive model that can be used in many real-world applications. • A robust optimization approach [46] is developed for the new presented model.…”
Section: Mathematical Description Of the Problemmentioning
confidence: 99%
“…To cope with over conservatism and nonlinearity issues in previous studies, Bertsimas and Sim [44,45] proposed a linear robust optimization. In the CMS field,Ghezavati et al [46] proposed a mathematical model including cell formation and group scheduling problems in a supply chain framework. They solved the proposed model by applying an approach based on Mulvey et al [38] considering part processing time and demand uncertainty.…”
Please cite this article as: M. Sakhaii, R. Tavakkoli-Moghaddam, M. Bagheri, B. Vatani, A robust optimization approach for an integrated dynamic cellular manufacturing system and production planning with unreliable machines, Appl. Math. Modelling (2015), doi: http://dx.Abstract:In this study, a robust optimization approach is developed for a new integrated mixed-integer linear programming (MILP)model to solve a dynamic cellular manufacturing system (DCMS) with unreliable machines anda production planning problemsimultaneously. This model is incorporated with dynamic cell formation, intercell layout, machine reliability, operator assignment, alternative process routings and production planning concepts. To cope with the parts processing time uncertainty, a robust optimization approach immunized against even worst-case is adopted. In fact, this approach enables the system's planner to assess different levels of uncertainty and conservation throughout planning horizon. This study minimizes the costs of machine breakdown and relocation, operator training and hiring, inter-intra cell part trip, and shortage and inventory. To verify the performance of the presented model and proposedapproach, some numerical examples are solved in hypothetical limits using the CPLEX solver. The experimental results demonstrate the validity of the presentedmodel and the performanceof the developed approach in finding an optimal solution. Finally, the conclusion is presented.
“…It is a comprehensive model that can be used in many real-world applications. • A robust optimization approach [46] is developed for the new presented model.…”
Section: Mathematical Description Of the Problemmentioning
confidence: 99%
“…To cope with over conservatism and nonlinearity issues in previous studies, Bertsimas and Sim [44,45] proposed a linear robust optimization. In the CMS field,Ghezavati et al [46] proposed a mathematical model including cell formation and group scheduling problems in a supply chain framework. They solved the proposed model by applying an approach based on Mulvey et al [38] considering part processing time and demand uncertainty.…”
Please cite this article as: M. Sakhaii, R. Tavakkoli-Moghaddam, M. Bagheri, B. Vatani, A robust optimization approach for an integrated dynamic cellular manufacturing system and production planning with unreliable machines, Appl. Math. Modelling (2015), doi: http://dx.Abstract:In this study, a robust optimization approach is developed for a new integrated mixed-integer linear programming (MILP)model to solve a dynamic cellular manufacturing system (DCMS) with unreliable machines anda production planning problemsimultaneously. This model is incorporated with dynamic cell formation, intercell layout, machine reliability, operator assignment, alternative process routings and production planning concepts. To cope with the parts processing time uncertainty, a robust optimization approach immunized against even worst-case is adopted. In fact, this approach enables the system's planner to assess different levels of uncertainty and conservation throughout planning horizon. This study minimizes the costs of machine breakdown and relocation, operator training and hiring, inter-intra cell part trip, and shortage and inventory. To verify the performance of the presented model and proposedapproach, some numerical examples are solved in hypothetical limits using the CPLEX solver. The experimental results demonstrate the validity of the presentedmodel and the performanceof the developed approach in finding an optimal solution. Finally, the conclusion is presented.
“…In addition, employing the robust optimization, Ghezavati et al [31] presented a novel mathematical robust optimization model for a CMS integrated with tactical aspects regarding supply chain network features in the presence of imprecise processing time and demand parameters. Forghani et al [32] provided a novel robust optimization approach to address data uncertainty.…”
Design of an appropriate Cellular Manufacturing System (CMS) leads to system exibility and production e ciency by using the similarities in the manufacturing process of products. One of the main issues in these systems is to consider product quality level and worker's skill level in the production process. This study proposes a comprehensive bi-objective possibilistic nonlinear mixed-integer programming model under uncertain environment to design a suitable CMS with the aim of minimizing the total costs and total inaction of workers and machines, simultaneously. In this respect, the demand for each product with a speci c quality level and linguistic parameters such as product quality level, worker's skill level, and job hardness level on machines are considered under fuzzy environment. To this end, the robust possibilistic programming approach is tailored to cope with fuzzy impute parameters. Finally, a real case study is provided to show the e ciency and applicability of the proposed model. In this respect, the proposed approach could reduce the total costs by 23.6% and the total inaction of workers and machines by 11.7% in comparison with real practice. In addition, the performance of the presented model is demonstrated by comparing the results obtained from the proposed model and actual practice.
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