Uncertain multi objective multi item four dimensional transportation problem with vehicle speed

The In this work, multi objectives multi item four dimensional transportation problem with vehicle speed consisting of uncertain variable parameters is studied. Due to bad road conditions, the rate of variation of speed of the vehicle may vary in different routes and the speed of different vehicles are also considered first time in the time minimization transportation model. Equivalent deterministic models for the uncertain programming model are proposed by using chance constrained and expected value method. Finally goal programming technique is applied to derive a suitable compromise solution of the uncertain multi objective multi item four dimensional transportations problems with consideration of vehicle speed. An illustrative real life situation is discussed and optimal results are displayed to demonstrate the proposed methodology..