The Multiobjective Bottleneck Transportation Problem

In this paper we give the solution methods for a multicriterial transportation problem of a nonlinear type. We would like to note that the problems of this type do not have any classical solution algorithms. The article consists of two parts dealing with 2 and 3 objectives respectively, one being non-linear of “bottleneck” type, and the rest being linear ones. Definitions of ecient and extreme ecient solutions are introduced and a separate solution algorithms for these models are described. The correctness theorems for the algorithms are proved. Examples solved by the computer programs implementing the algorithms are included.