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Development of Transportation Methodology in Operation Research

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Submitted By dodikariyanto
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ADVANCED OPERATION RESEARCH
ASSIGNMENT OF O.R. METHODOLOGY DEVELOPMENT

DEVELOPMENT OF TRANSPORTATION METHODOLOGY IN OPERATION RESEARCH
“PENGEMBANGAN METODE TRANSPORTASI DALAM OPERASI PENELITIAN”
TYPE II – COMPARE & CONTRAST

IQBAL TAWAKKAL - 1506694736
PROGRAM MAGISTER TEKNIK INDUSTRI - SALEMBA
UNIVERSITAS INDONESIA

1. INTRODUCTION

A special class of linear programming problem is Transportation Problem, where the objective is to minimize the cost of distributing a product from a number of sources (e.g. factories) to a number of destinations (e.g. warehouses) while satisfying both the supply limits and the demand requirement. Because of the special structure of the Transportation Problem the Simplex Method of solving is unsuitable for the Transportation Problem. The model assumes that the distributing cost on a given rout is directly proportional to the number of units distributed on that route. Generally, the transportation model can be extended to areas other than the direct transportation of a commodity, including among others, inventory control, employment scheduling, and personnel assignment.

Transportation was one of the earliest application areas of operations research, and important transportation problems, such as the traveling salesman problem, vehicle routing problem, and traffic assignment problem, contributed to fundamental knowledge in operations research. Transportation remains one of the most important and vibrant areas of operations research. The transportation model has some rigid characteristic, which are: * A product is transported from a number of sources to a number of destinations at the minimum possible cost * Each source is able to supply a fixed number of units of the product, and each destination has a fixed demand for the product. Origin Points (or sources) can be factories, warehouses, car rental

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