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2013 | 23 | 4 | 9-19
Tytuł artykułu

Stochastic Generalized Transportation Problem with discrete distribution of demand

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Abstrakty
EN
The generalized transportation problem (GTP) allows us to model situations where the amount of goods leaving the supply points is not equal to the amount delivered to the destinations (this is the case, e.g. when fragile or perishable goods are transported or complaints may occur). A model of GTP with random, discretely distributed, demand has been presented. Each problem of this type can be transformed either into the form of a convex programming problem with a piecewise linear objective function, or a mixed integer LP problem. The method of solution presented uses ideas applied in the method of stepwise analysis of variables and in the equalization method.
Twórcy
  • Department of Operations Research, Poznań University of Economics, al. Niepodległości 10, 61-875 Poznań, Poland, m.anholcer@ue.poznan.pl
Bibliografia
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  • ANHOLCER M., A Comparative analysis of selected algorithms for nonlinear problems of allocating uniform goods, Wydawnictwo Akademii Ekonomicznej w Poznaniu, Poznań 2008 (in Polish).
  • ANHOLCER M., A Comparison of the performance of selected algorithms for nonlinear allocation problems, [in:] Methods and Application of Operations Research, R. Kopańska-Bródka (Ed.), Scientific Papers of University of Economics in Katowice, Katowice 2008, 9–25 (in Polish).
  • ANHOLCER M., Algorithm for stochastic generalized transportation problem, Operations Research and Decisions, 2012 (4), 9–20.
  • ANHOLCER M., On the nonlinear generalized transportation problem, preprint.
  • ANHOLCER M., KAWA A., Optimization of supply chain via reduction of complaints ratio, Lecture Notes in Computer Science, 2012, 7327, 622–628.
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Bibliografia
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