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Chapter+6+-+TTA - Chapter 6 Transportation Transshipment...

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Transportation, Transshipment, and Assignment Problems Chapter 6
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Reading Questions Transportation, transshipment and assignment problems are all part of what larger class of linear programming problems? What are the defining characteristics of transportation problems? What is a balanced transportation problem? What is a unbalanced transportation problem? How do you deal with a balanced transportation problem in the model formulation? How do you deal with an unbalanced transportation problem in the model formulation? What differs in the model formulation if the supply exceed demand? What differs in the model formulation if demand exceeds supply? What is Frank L. Hitchcock credited with doing? What is the difference between a transportation problem and a transshipment problem? What is unique about the assignment model?
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Introduction A number of business problems can be represented graphically as networks. This chapter focuses on several types of network flow problems: Transportation Problems Transshipment Problems Assignment Problems
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Transportation, Transshipment, and Assignment Problems Part of a larger class of linear programming problems known as network flow problems. Represent a popular group of linear programming applications. Have special mathematical characteristics that have enabled management scientists to develop very efficient, unique mathematical solution approaches to them – variations of the traditional simplex solution procedure (transportation method and assignment method).
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The Transportation Model In a transportation problem, items are allocated from sources to destinations at a minimum cost. The transportation model is formulated for a class of problems with the following unique characteristics: (1) a product is transported from a number of sources to a number of destinations at the minimum possible cost; and (2) each source is able to supply a fixed number of units of the product, and each destination has a fixed demand for the product.
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A Transportation Problem Example: Problem Definition Wheat is harvested in the Midwest and stored in grain elevators in three different cities – Kansas City, Omaha, and Des Moines. These grain elevators supply three flour mills, located
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Chapter+6+-+TTA - Chapter 6 Transportation Transshipment...

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