Issue: 2013/Vol.23/No.4, Pages 9-19
STOCHASTIC GENERALIZED TRANSPORTATION PROBLEM WITH DISCRETE DISTRIBUTION OF DEMAND
Marcin Anholcer
Cite as: M. Anholcer. Stochastic Generalized Transportation Problem with discrete distribution of demand. Operations Research and Decisions 2013: 23(4), 9-19. DOI 10.5277/ord130402
Abstract
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.
Keywords: stochastic generalized transportation problem, stochastic programming, equalization method
Received: 17 December 2013 Accepted: 10 January 2014