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Batch Production Plan for Periodic Demands with Uncertain Recycling Rate in a Closed-Loop Supply System

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Supply Chain Management Under Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 313))

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Abstract

Environmental issues and legislation pressures have forced the manufacturers to exert more effort in product recovery. This necessitates a production plan to take the product recovery and greenhouse gas emission into account. However, before doing so, a myth that re-using the recycled products would increase the total production cost or decrease the profit needs to be clarified. Therefore, in this study, we shall first show that a closed-loop production plan to consider both manufacture and remanufacture would be more economic and beneficial than a single activity of either manufacture or remanufacture. Second, when we conduct recycling activity in reality, how to estimate the amount of the recycled products to be re-utilized is another issue. In this study, the concept of the expected value transformed from a fuzzy recycling rate is adopted with intervals to describe its degree of uncertainty. Then, based on the periodic demands, a production plan for batch manufacture and remanufacture is proposed and analyzed in the form of a fuzzy mixed integer programming model (FMIP), such that the total costs of production cost, holding cost, emergency procurement cost, backlogging cost and the penalty for excessive carbon emission can be minimized with different degrees of satisfaction. A numerical example is presented to illustrate the validity of the model and the impact of recycling rate on the cost of such a close-loop production system for flexible applications.

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References

  • Absi, N., Kedad-Sidhoumb, S.: The multi-item capacitated lot-sizing problem with safety stocks and demand shortage costs. Comput. Oper. Res. 36, 2926–2936 (2009)

    Article  MATH  Google Scholar 

  • Arenas Parra, M., Bilbao Terol, A., Perez Gladish, B., Rodriguez Uria, M.V.: Solving a multiobjective possibilistic problem through compromise programming. Eur. J. Oper. Res. 164, 748–759 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  • Biehl, M., Prater, E., Matthew, J.R.: Assessing performance and uncertainly in developing carpet reverse logistics systems. Comput. Oper. Res. 34(2), 443–463 (2007)

    Article  MATH  Google Scholar 

  • Chiang, J.: Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set. Eur. J. Oper. Res. 129(1), 65–86 (2001)

    Article  MATH  Google Scholar 

  • Fleischmann, M., Krikke, H.R., Dekker, R., Flapper, S.D.P.: A classification of logistics networks for product recovery. Omega 28(6), 653–666 (2000)

    Article  Google Scholar 

  • Golany, B., Yang, J., Yu, G.: Economic lot-sizing with remanufacturing options. IIE Trans. 33, 995–1003 (2001)

    Google Scholar 

  • Heilpern, S.: The expected valued of a fuzzy number. Fuzzy Sets Syst. 47, 81–86 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  • Jime’nez, M., Arenas, M., Amelia Bilbao, M., Victoria Karimi, B., Fatemi Ghomi, S.M.T., Wilson, J.M.: The capacitated lot sizing problem: a review of models and algorithms. Omega 31, 365–378 (2003)

    Article  Google Scholar 

  • Kongar, E.: Performance measurement for supply chain management and evaluation criteria determination for reverse supply chain management. Environ. Conscious Manuf. 6, 106–117 (2004)

    Google Scholar 

  • Li, Y., Chena, J., Cai, X.: Heuristic genetic algorithm for capacitated production planning problems with batch processing and remanufacturing. Int. J. Prod. Econ. 105, 301–317 (2007)

    Article  Google Scholar 

  • Ovidiu, L.: A genetic stochastic model for supply-and-return network design. Comput. Oper. Res. 34(2), 417–442 (2007)

    Article  MATH  Google Scholar 

  • Ovidiu, L., Dekker, R.: A stochastic approach to a case study for product recovery network design. Eur. J. Oper. Res. 160(1), 268–287 (2005)

    Article  MATH  Google Scholar 

  • Richter, K.: Remanufacturing planning for the reverse Wagner/Whitin models. Eur. J. Oper. Res. 121, 304–315 (2000)

    Article  MATH  Google Scholar 

  • Salema, M.I.G., Barbosa-Povoa, A.P., Novais, A.Q.: An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty. Eur. J. Oper. Res. 179(3), 1063–1077 (2007)

    Article  MATH  Google Scholar 

  • Teunter, R.H., Bayindir, Z.P., van den Heuvel, W.: Dynamic lot sizing with product returns and remanufacturing. Int. J. Prod. Res. 44(20), 4377–4400 (2006)

    Article  MATH  Google Scholar 

  • The greenhouse gas protocol initiative. http://www.ghgprotocol.org/

  • The restriction of the use of certain hazardous substances. http://www.rohs.gov.uk/

  • United nations framework convention on climate change. http://unfccc.int/

  • Wang, H.F., Hsu, H.W.: Resolution of an uncertain closed-loop logistics model: an application to fuzzy linear programs with risk analysis. Int. J. Environ. Manage. 91(11), 2148–2162 (2010)

    Article  Google Scholar 

  • Wang, H.F., Hsu, H.W.: A possibilistic approach to modeling and resolution of uncertain closed-loop logistics. Fuzzy Optim. Decis. Making 11(2), 177–208 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  • Zhendong, P., Tang, J., Liu, O.: Capacitated dynamic lot sizing problems in closed-loop supply chain. Eur. J. Oper. Res. 198, 810–821 (2009)

    Article  MATH  Google Scholar 

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Acknowledgments

The authors acknowledge the financial support from National Science Council, Taiwan, ROC, with project number NSC97-2221-E007-095-MY3.

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Correspondence to Hsiao-Fan Wang .

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Wang, HF., Fu, CY. (2014). Batch Production Plan for Periodic Demands with Uncertain Recycling Rate in a Closed-Loop Supply System. In: Kahraman, C., Öztayşi, B. (eds) Supply Chain Management Under Fuzziness. Studies in Fuzziness and Soft Computing, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53939-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-53939-8_16

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