# Chapter 6 - ManagementScience ManagementScience BIT2406...

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Management Science Management Science BIT 2406 BIT 2406 Chapter 6 Chapter 6 Transportation, Transshipment, and  Transportation, Transshipment, and  Assignment Problems Assignment Problems 1 BIT 2406

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Reading Questions 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? BIT 2406 2
Chapter Topics Chapter Topics The Transportation Model Computer Solution of a Transportation Problem The Transshipment Model Computer Solution of a Transshipment Problem The Assignment Problem Computer Solution of an Assignment Problem BIT 2406 3

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Transportation, Transshipment, and  Transportation, Transshipment, and  Assignment Problems 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). BIT 2406 4
The Transportation Model 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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Chapter 6 - ManagementScience ManagementScience BIT2406...

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