Stochastic Generalized Transportation Problem with discrete distribution of demand

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 destina-tions (this is the case e.g. when fragile or perishable goods are transported or complaints may occur). In this article, a model of GTP with random, discretely distributed, demand is present-ed. Each problem of this type can be transformed either into the form of a convex program-ming 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 Varia-bles and in the Equalization Method.