An Operator Theory of Parametric Programming for the Generalized Transportation Problem. IV. Global Operators.
CARNEGIE-MELLON UNIV PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP
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The paper investigates the effect of the optimal solution of a capacitated generalized transportation problem when the data of the problem the rim conditions -- i.e., the available time of machine types and demands of product types, the per unit production costs, the per unit production time and the upper bounds are continuously varied as a linear function of a single parameter. Operators that effect the transformation of optimal solution associated with such data changes, are shown to be a product of basis preserving operators described in our earlier papers that operate on a sequence of adjacent basis structures. Algorithms are furnished for the three types of operators -- rim, cost and weight. The paper concludes with a discussion of the production and managerial interpretations of the operators and a comment on the production paradox. Author
- Operations Research