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Published: 22.04.2021  This paper presents a possibilistic linear programming model for solving the blending and multi-mode, multi-period distribution planning problem with imprecise transportation, blending and storage costs. The solution procedure uses the strategy of simultaneously minimizing the most possible value of the imprecise total costs, maximizing the possibility of obtaining lower total costs, minimizing the risk of obtaining higher total costs.

## Transportation Problem: A Special Case for Linear Programming Problems

In this chapter, we discuss three special types of linear programming problems: transporta-tion, assignment, and transshipment. Each of these can be solved by the simplex algorithm, but specialized algorithms for each type of problem are much more efficient. We begin our discussion of transportation problems by formulating a linear programming model of the following situation. Powerco has three electric power plants that supply the needs of four cities. The peak power de-mands in these cities, which occur at the same time 2 P. The costs of sending 1 million kwh of electricity from plant to city depend on the distance the elec-tricity must travel. ## SOLVING TRANSPORTATION PROBLEM WITH THE VARIOUS METHOD OF LINEAR PROGRAMMING PROBLEM

A transportation problem deals with two different problems balanced transportation problem or unbalanced transportation problem. In this paper, a new method is proposed for solving unbalanced transportation problem which gives optimal or very near to optimal solution. Ahmad Q. Dantzig, G. Goyal S. Kirca O.

The paper is related with the basic transportation problem TP which is one kind of linear programming problem LPP. There are some existing methods for solving transportation problem and in this paper all the standard existing methods has been discussed to understand which one is the best method among them. Quick jump to page content. Published Jul 30, Abstract The paper is related with the basic transportation problem TP which is one kind of linear programming problem LPP. Rafi, F. ## SOLVING TRANSPORTATION PROBLEM WITH THE VARIOUS METHOD OF LINEAR PROGRAMMING PROBLEM

The main objective of this paper is to reduce complexity in Maximization problem of LPP, by fulfilling the relation between the objective function and constraints with the largest value. It has been decided with reasonably great probability, decision region, fundamental probabilities and Laplace Transform LT. To obtain proposed results we applied probability density function over transportation problem. According to our proposed method we implemented mathematical model through the probability density function of statistical tools. ### A New Approach for Finding the Initial Solution of the Unbalanced Transportation Problem

Sign in. In this fast-moving world, the need for the commodity is increasing day by day. Accordingly, the imp o rtance of transportation has a great role to play in society. The profit and fortunes of the companies which are moving merchandise from one corner of the country to another are determined by transportation. This is especially true when transportation costs and transportation time are overwhelming than production costs and production time. What if the transportation in all areas of handled professionally and if the costs involved are made optimal, the productivity of the country goes up even if no other factor is touched!

Reena G Patel, P. Transportation problem is one of the predominant areas of operations research, widely used as a decision making tool in engineering, business management and many other fields. In this paper, we present The Advance method for the optimum solution of a Transportation Problem.

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