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A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty

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  • Mirzapour Al-e-hashem, S.M.J.
  • Malekly, H.
  • Aryanezhad, M.B.
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    Abstract

    Manufacturers need to satisfy consumer demands in order to compete in the real world. This requires the efficient operation of a supply chain planning. In this research we consider a supply chain including multiple suppliers, multiple manufacturers and multiple customers, addressing a multi-site, multi-period, multi-product aggregate production planning (APP) problem under uncertainty. First a new robust multi-objective mixed integer nonlinear programming model is proposed to deal with APP considering two conflicting objectives simultaneously, as well as the uncertain nature of the supply chain. Cost parameters of the supply chain and demand fluctuations are subject to uncertainty. Then the problem transformed into a multi-objective linear one. The first objective function aims to minimize total losses of supply chain including production cost, hiring, firing and training cost, raw material and end product inventory holding cost, transportation and shortage cost. The second objective function considers customer satisfaction through minimizing sum of the maximum amount of shortages among the customers' zones in all periods. Working levels, workers productivity, overtime, subcontracting, storage capacity and lead time are also considered. Finally, the proposed model is solved as a single-objective mixed integer programming model applying the LP-metrics method. The practicability of the proposed model is demonstrated through its application in solving an APP problem in an industrial case study. The results indicate that the proposed model can provide a promising approach to fulfill an efficient production planning in a supply chain.

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    Bibliographic Info

    Article provided by Elsevier in its journal International Journal of Production Economics.

    Volume (Year): 134 (2011)
    Issue (Month): 1 (November)
    Pages: 28-42

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    Handle: RePEc:eee:proeco:v:134:y:2011:i:1:p:28-42

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    Web page: http://www.elsevier.com/locate/ijpe

    Related research

    Keywords: Aggregate production planning Robust multi-objective optimization Uncertainty Supply chain;

    References

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    1. Nam, Sang-jin & Logendran, Rasaratnam, 1992. "Aggregate production planning -- A survey of models and methodologies," European Journal of Operational Research, Elsevier, vol. 61(3), pages 255-272, September.
    2. Dolgui, Alexandre & Ould-Louly, Mohamed-Aly, 2002. "A model for supply planning under lead time uncertainty," International Journal of Production Economics, Elsevier, vol. 78(2), pages 145-152, July.
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    13. Kazemi Zanjani, Masoumeh & Ait-Kadi, Daoud & Nourelfath, Mustapha, 2010. "Robust production planning in a manufacturing environment with random yield: A case in sawmill production planning," European Journal of Operational Research, Elsevier, vol. 201(3), pages 882-891, March.
    14. Wang, Reay-Chen & Liang, Tien-Fu, 2005. "Applying possibilistic linear programming to aggregate production planning," International Journal of Production Economics, Elsevier, vol. 98(3), pages 328-341, December.
    15. Akif Bakir, M. & Byrne, Mike D., 1998. "Stochastic linear optimisation of an MPMP production planning model," International Journal of Production Economics, Elsevier, vol. 55(1), pages 87-96, June.
    16. Leung, Stephen C.H. & Tsang, Sally O.S. & Ng, W.L. & Wu, Yue, 2007. "A robust optimization model for multi-site production planning problem in an uncertain environment," European Journal of Operational Research, Elsevier, vol. 181(1), pages 224-238, August.
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    Citations

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    Cited by:
    1. Lau, Kwok Hung, 2013. "Measuring distribution efficiency of a retail network through data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 146(2), pages 598-611.
    2. Mirzapour Al-e-hashem, S.M.J. & Baboli, A. & Sazvar, Z., 2013. "A stochastic aggregate production planning model in a green supply chain: Considering flexible lead times, nonlinear purchase and shortage cost functions," European Journal of Operational Research, Elsevier, vol. 230(1), pages 26-41.
    3. Ivanov, Dmitry & Sokolov, Boris, 2013. "Control and system-theoretic identification of the supply chain dynamics domain for planning, analysis and adaptation of performance under uncertainty," European Journal of Operational Research, Elsevier, vol. 224(2), pages 313-323.
    4. Wong, W.K. & Guo, Z.X. & Leung, S.Y.S, 2014. "Intelligent multi-objective decision-making model with RFID technology for production planning," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 647-658.
    5. Raa, Birger & Dullaert, Wout & Aghezzaf, El-Houssaine, 2013. "A matheuristic for aggregate production–distribution planning with mould sharing," International Journal of Production Economics, Elsevier, vol. 145(1), pages 29-37.

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