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A stochastic programming approach for multi-site aggregate production planning

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Journal of the Operational Research Society

Abstract

Production planning problems play a vital role in the supply chain management area, by which decision makers can determine the production loading plan—consisting of the quantity of production and the workforce level at each production plant—to fulfil market demand. This paper addresses the production planning problem with additional constraints, such as production plant preference selection. To deal with the uncertain demand data, a stochastic programming approach is proposed to determine optimal medium-term production loading plans under an uncertain environment. A set of data from a multinational lingerie company in Hong Kong is used to demonstrate the robustness and effectiveness of the proposed model. An analysis of the probability distribution of economic demand assumptions is performed. The impact of unit shortage costs on the total cost is also analysed.

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References

  • Baykasoglu A (2001). MOAPPS 1.0: aggregate production planning using the multiple-objective tabu search. Int J Prod Res 39: 3685–3702.

    Article  Google Scholar 

  • Nam SJ and Logendran R (1992). Aggregate production planning—a survey of models and methodologies. Eur J Opl Res 61: 255–272.

    Article  Google Scholar 

  • Masud ASM and Hwang CL (1980). An aggregate production planning model and application of three multiple objective decision methods. Int J Prod Res 18: 741–752.

    Article  Google Scholar 

  • Hung YF and Hu YC (1998). Solving mixed integer programming production planning problems with setups by shadow price information. Comput Opns Res 25: 1027–1042.

    Article  Google Scholar 

  • Hung YF, Shih CC and Chen CP (1999). Evolutionary algorithms for production planning problems with setup decisions. J Opl Res Soc 50: 857–866.

    Article  Google Scholar 

  • Wang D and Fang SC (1997). A genetics-based approach for aggregated production planning in a fuzzy environment. IEEE Trans Systems Man Cybernetics — Part A: Systems Hum 27: 636–645.

    Article  Google Scholar 

  • Ozdamar L, Bozyel MA and Birbil SI (1998). A hierarchical decision support system for production planning (with case study). Eur J Opl Res 104: 403–422.

    Article  Google Scholar 

  • Foote BL, Ravindran A and Lashine S (1998). Production planning and scheduling: computational feasibility of multi-criteria models of production, planning and scheduling. Comput Ind Eng 15: 129–138.

    Article  Google Scholar 

  • Buxey G (1993). Production planning and scheduling for seasonal demand. Int J Opns Prod Mngt 13: 4–21.

    Article  Google Scholar 

  • Mazzola JB, Neebe AW and Rump CM (1998). Multiproduct production planning in the presence of work-force learning. Eur J Opl Res 10: 336–356.

    Article  Google Scholar 

  • Porkka P, Vepsäläinen APJ and Kuula M (2003). Multiperiod production planning carrying over set-up time. Int J Prod Res 41: 1113–1148.

    Article  Google Scholar 

  • Zimmermann HJ (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets System 1: 45–55.

    Article  Google Scholar 

  • Dantzig GB (1955). Linear programming under uncertainty. Mngt Sci 1: 197–206.

    Article  Google Scholar 

  • Wang RC and Fang HH (2000). Aggregate production planning in a fuzzy environment. Int J Ind Eng—Theory, Appl Pract 7: 5–14.

    Google Scholar 

  • Wang RC and Fang HH (2001). Aggregate production planning with multiple objectives in a fuzzy environment. Eur J Opl Res 133: 521–536.

    Article  Google Scholar 

  • Høyland K and Wallace SW (2001). Generating scenario trees for multistage decision problems. Mngt Sci 47: 295–307.

    Article  Google Scholar 

  • Silva Filho OS (1999). An aggregate production planning model with demand under uncertainty. Prod Plann Control 10: 745–756.

    Article  Google Scholar 

  • Lockett AG and Muhlemann AP (1978). A stochastic programming model for aggregate production planning. Eur J Opl Res 2: 350–356.

    Article  Google Scholar 

  • Kall P and Wallace SW (1994). Stochastic Programming. John Wiley and Sons: Chichester.

    Google Scholar 

  • Ruszczyñski A and Shapiro A (2003). Stochastic Programming (Handbooks in Operations Research and Management Science). Elsevier: Amsterdam.

    Google Scholar 

Download references

Acknowledgements

We thank the anonymous referees for their valuable comments. This research was supported by an annual grant from University of Southampton, UK and a research grant from Hunan University, China (Project Number 985).

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Correspondence to S C H Leung.

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Leung, S., Wu, Y. & Lai, K. A stochastic programming approach for multi-site aggregate production planning. J Oper Res Soc 57, 123–132 (2006). https://doi.org/10.1057/palgrave.jors.2601988

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  • DOI: https://doi.org/10.1057/palgrave.jors.2601988

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