Transportation problem in operational research

Although transportation problems can be formulated as a LPP, other easier algorithms are developed for solving them.ДЎ.The objective is to minimize the total transportation cost.

The unit cost is independent of the number of goods transported.The unit transportation cost from one origin to a destination is known and certain.If they do not match each other, dummy sources or dummy destinations are added. The total quantity available at all the sources is equal to the total quantity required the destinations.The following basic assumptions are made before using any transportation technique: The cost of transportation of one unit of the commodity from each source to each destination.The total quantity required at each destination.The total quantity available at each source.To solve a transportation problem, the following information must be given: Such a linear programming formulation of the transportation problem is also known as the HitchcockвЂ“ Koopmans transportation problem.ДЄpplications of transportation model are used in the airline industry, Research and Development, Travelling Salesman, Transhipment, etc. In other words, transportation problems deal with the movement of commodities from different sources to different destinations, with the overall objective of minimizing transportation costs. Major advances were made in the field during World War II by the Soviet mathematician and economist Leonid Kantorovich hence known as the MongeвЂ“Kantorovich transportation problem.ДЄn important type of transportation problem which is addressed by the Linear Programming(LP) is in the area of physical distribution of goods and services from several supply centres to demand centres. The French mathematician Gaspard Monge formalized this problem in 1781. The study of optimal transportation and allocation of resources is transportation theory or transport theory. 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! This is especially true when transportation costs and transportation time are overwhelming than production costs and production time. The profit and fortunes of the companies which are moving merchandise from one corner of the country to another are determined by transportation. Accordingly, the imp ortance of transportation has a great role to play in society. In this fast-moving world, the need for the commodity is increasing day by day.

Transportation problem in operational research