Optimizing Transportation Problems with Multiple Objectives

Goal programming approach for solving transportation problem with interval cost

“…Amit Kumar presented application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problem and also find the optimal solution of transshipment [14,15]. Lee and Li proposed an idea for optimizing transportation problem with multiple objectives, and fuzzy approach to the MOTP [17,18]. Surapati [22] proposed goal programming approach for solving MOTP.…”

“…To illustrate the efficiency of the proposed method, we consider the different size of interval in the following numerical example: x i3 = [17,21];…”

“…where [15,17]] [1, [12,13] Using Definition (3.4) we write the equivalent multi objective deterministic problem as:…”

“…However in reality these are important factors which greatly influence the decision process of transportation problems. Lee and Moore (1973) applied goal programming (GP) to find a solution of multi-objective transportation problem. Goal programming has widely applied to solve different problems which involve multiple objectives.…”

An algorithm for a fuzzy transportation problem to select a new type of coal for a steel manufacturing unit

“…Aneja and Nair (1979) presented a bicriteria transportation problem model. Lee and Moore (1973) studied the optimization of multiobjectives transportation problems. Diaz (1978Diaz ( , 1979 and Isermann (1979) proposed the procedures to generate all non-dominated solutions to the multiobjective linear transportation problem.…”