Determination of optimal supply points in centralized distribution systems Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/fn1073141

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  • The determination of the number and locations of optimal supply points in centralized distribution systems is considered from both theoretical and institutional aspects. The Euclidean distance problems that typify the theoretical school of location search are discussed and seven different solution techniques are investigated: the Torricelli, linear programming, exhaustive search, branch-and-bound, fixed increment steepest descent, Hyperboloid approximation procedure (HAP), and self-optimization methods. The last technique is a new modified gradient method, and is demonstrated to be also applicable to squared, cubic, and exponential Euclidean distance models. Applying the branch-and-bound algorithm to the self-optimization method, a combinatorial approach to problems that entail multiple supply points and forbidden regions is developed and demonstrated with three institutional examples. The first example is the determination of the number and locations of supply points in a simple four-point distribution system. The second example is the determination of supply points considering a small forbidden area. The last numerical example uses data from the Nissan Motor Co. 's American distribution system, and determines the number and locations of car repair parts manufacturing and supply points. Numerical evaluations of the self-optimization method, including such considerations as the precision, computer execution time, and other advantages and disadvantages of both the self-optimization method and the combinatorial method are followed by recommendations for future research efforts.
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