Research On Two Types Of The Fuzzy Transportation Problems

Since the original era, the transportation problem is closely and inseparablyrelated to human life. In order to save cost and improve transport efficiency, thetransportation problem on academic emerged, it originates in the net structureproblem which the nodes and the arcs are limited, and it is a special problem in linearprogramming. In the current world, due to the uncontrollable factors, such as theconstantly varied environment and economic, it is usually difficult to obtain theaccurate information. Fortunately, the fuzzy set theory proposed by Zadeh providestheoretical support to solve the uncertainty information. Based on the fuzzyenvironment, the paper is mainly about the following transportation problems:1） The multi-objective fuzzy transportation problem with three types oftransshipment is discussed, its availabilities at the sources， demands at thedestinations and the coefficients of the objective functions are presented bytrapezoidal fuzzy numbers. The fuzzy linear programming model is established, thefuzzy buffer stock， cut set，linear membership function and minimal operator areused to derive the specific steps of the algorithm． Finally, it obtains optimalcompromise solutions corresponding to different values of. The results of theproblem can be used as a transportation scheme of the problem in real life.2）It does a systematic analysis of the fuzzy multi-objective solid transportationproblem with a variety of modes of transport, establishes fuzzy programming modelwith three categories of constraints (availability constraints, demand constraints andlimit load constraints), utilizes the previous algorithm that solve the multi-objectivetransportation problem with transshipment to solve this model, gains the optimaltradeoff solution of the problem. It provides a powerful tool for the transportationindustry to search for the optimal transportation plan.