The Simple Plant-Location Problem under Uncertainty

There is a class of simple plant-location problems under uncertainty that can be decomposed into two simpler problems that can be solved sequentially with surprising ease. The salient characteristic of this class of problems is that for any demand generating region, one plant dominates all others as a supply source. We develop and discuss the conditions required for this dominance. The risk-averse nature of the firm is incorporated into this model with a mean-variance formulation of the objective function. The general formulation is particularized to four paradigms of firms characterized by a range of behavioral and market assumptions.

[1]  W. Sharpe Portfolio Theory and Capital Markets , 1970 .

[2]  R. L. Francis,et al.  Technical Note - Location Theory: A Selective Bibliography , 1974, Oper. Res..

[3]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[4]  Bernard Roy,et al.  Problems and methods with multiple objective functions , 1971, Math. Program..

[5]  Kurt Spielberg,et al.  Algorithms for the Simple Plant-Location Problem with Some Side Conditions , 1969, Oper. Res..

[6]  Robert C. Carlson,et al.  Multi-goal optimization in managerial science , 1974 .

[7]  George C. Philippatos,et al.  Conditions of Equivalence Among E-V, SSD, and E-H Portfolio Selection Criteria: The Case for Uniform, Normal and Lognormal Distributions , 1975 .

[8]  R Burr Porter,et al.  Stochastic Dominance vs. Mean-Variance Portfolio Analysis: An Empirical Evaluation , 1972 .

[9]  B. M. Khumawala An Efficient Branch and Bound Algorithm for the Warehouse Location Problem , 1972 .

[10]  Lawrence E. Briskin,et al.  A Method of Unifying Multiple Objective Functions , 1966 .

[11]  H. Leland. Theory of the Firm Facing Uncertain Demand , 1972 .

[12]  T. L. Ray,et al.  A Branch-Bound Algorithm for Plant Location , 1966, Oper. Res..

[13]  H. Levy,et al.  Efficiency analysis of choices involving risk , 1969 .

[14]  Jyrki Wallenius,et al.  Comparative Evaluation of Some Interactive Approaches to Multicriterion Optimization , 1975 .