mat540_term_paper

mat540_term_paper - Math 540 Term Paper 1 Quantitative...

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Math 540 Term Paper 1 Quantitative Methods MAT540 Week 10 Term Paper Show Case: Application of Quantitative Methods for the Exploration and Analysis of a Transshipment Problem Submitted By MariaLorelie Hall Marialoreliehall_marriott@yahoo.com Submitted to Dr. L. Joseph Submitted in Partial Fulfillment of the Requirements for the MSAC Controllership & Taxation Strayer University March, 2010
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2 Abstract Linear programming is a concept drawn from the field of operations research. It is an analytical technique used for solving maximization and minimization problems. In the problem sited here examines special types of Linear programming model formulations, transportation, transshipments and assignment problems. They are part of a larger class of linear programming problem known as network flow problems which represent a popular group of linear programming applications. As I have learned in transportation models have special mathematical characteristics that have enabled management scientists to develop very efficient, unique mathematical solution approaches to it. The solution approaches are variations of the traditional simplex solution procedure. In this Linear programming problems are presented the three special types, the transportation problem, the transshipment problem, and the assignment problem. The transportation problem, items are allocated from sources to destinations at a minimum cost. The transshipment problem is an extension of the transportation model in which intermediate transshipment point is a distribution center or warehouse located between plants and stores. The assignment problems is a special form of a linear programming model that is similar to the transportation model however in the assignment model, the supply at each source and the demand at each destination are each limited to one unit. They are the network flow problems, although they have different objective function but they share the same general characteristics as the transportation and assignment problems that flow of items from sources to destinations.
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3 Table of Content Introduction. ........................................................................................................... 04 The Statement of the Problem. .............................................................................. 05 The Goal of the Solution. ...................................................................................... 06 The Methodology. ................................................................................................. 06 The Data. ............................................................................................................... 06 Definitions of the Linear Programming Formulation Variables. .......................... 07 The Objective Function. ......................................................................................... 07 The Constraints. ..................................................................................................... 07 The Result: Linear Programming Model Solution. ................................................. 08 The Analysis - Managerial Reports. ......................................................................... 09 The Network of Transshipment Routes. ................................................................... 10 The Conclusion. ....................................................................................................... 11 References. ............................................................................................................... 11
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4 Introduction It is the purpose of this research to describe the application of Linear Programming techniques to business management issues. The essential concept of linear programming and the general procedures involved in applying the concept are discussed.
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mat540_term_paper - Math 540 Term Paper 1 Quantitative...

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