Abstract
In this chapter, we deal with the production and transportation planning of a household appliances manufacturer that has production facilities and central stores for resellers in several sites in Europe. Each store can receive products from all production plants and it is not necessary that all products are produced in all production units. The transport between any two bases is done by trucks. For simplicity we assume, that each truck has the same capacity of M EURO-pallets, and for each product the unit is EURO-pallet. The target of this chapter is to determine a combined production and transport plan that minimize the total sum of the production cost and the transportation cost. For working in a realistic environment we assume that the production capacities in the different plants and the demand in the sales bases are not known exactly but the management can describe the data in form of fuzzy numbers. By using an inter-active algorithm for solving the fuzzy linear programming system we achieve a stable production and a satisfactory supply of the products. Moreover, we demonstrate that this integer programming problem can adequately be solved without using computation-intensive integer programming algorithms. Additionally, in the course of the inter-active solution process the production bottlenecks get clearly visible. A numerical example illustrates the efficiency of the proposed procedure.
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References
Becker, S.W., Siegel, S.: Utility of grades: level of aspiration in a decision theory context. J. Exp. Psychol. 55, 81–85 (1958)
Bhutta, K.S.: International facility location decisions: a review of the modelling literature. Int. J. Integr. Supply Manag. 1, 33–50 (2004)
Chopra, S., Meindl, P.J.: Supply Chain Management: Strategy, Planning and Operation. Pearson/Prentice Hall, Upper Saddle River (2007)
Kouvelis, P., Rosenblatt, M.J., Munson, C.L.: A mathematical programming model for global plant location problems: analysis and insights. IIE Trans. 36, 127–144 (2004)
Rausch, P., Rommelfanger, H., Stumpf, M., Jehle, B.: Managing uncertainties in the field of planning and budgeting – an interactive fuzzy approach. In: Proceedings of the 32nd SGAI Conference, Cambridge (2012)
Rommelfanger, H.: Fuzzy Decision Support-Systeme – Entscheiden bei Unschärfe. Springer, Berlin (1994)
Rommelfanger, H.: FULPAL 2.0 – an interactive algorithm for solving multicriteria fuzzy linear programs controlled by aspiration levels. In: Scheigert, D. (ed.) Methods of Multicriteria Decision Theory, pp. 21–34 (1995). Pfalzakademie Lamprecht
Rommelfanger, H., Slowinski, R.: Fuzzy linear programming with single or multiple objective functions. In: Slowinski, R. (ed.) Fuzzy Sets in Decision Analysis, Operations Research and Statistics, pp. 179–213. Kluwer Academic, Norwell (1998)
Rommelfanger, H.: The advantages of fuzzy optimization models in practical use. Fuzzy Optim. Decis. Mak. 3, 295–309 (2004)
Simon, H.A.: Behavioral model of rational choice. Q. J. Econ. 69, 99–118 (1955)
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Rommelfanger, H.J. (2013). Minimizing the Total Cost in Production and Transportation Planning—A Fuzzy Approach. In: Rausch, P., Sheta, A., Ayesh, A. (eds) Business Intelligence and Performance Management. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-1-4471-4866-1_12
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DOI: https://doi.org/10.1007/978-1-4471-4866-1_12
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