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SENSITIVITY ANALYSIS WITH INTERACTION EFFECTS
Author(s) -
Bentz William F.,
Sherr Lawrence A.,
Miller Robert E.
Publication year - 1976
Publication title -
decision sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.238
H-Index - 108
eISSN - 1540-5915
pISSN - 0011-7315
DOI - 10.1111/j.1540-5915.1976.tb00691.x
Subject(s) - maximization , sensitivity (control systems) , minification , mathematical optimization , product (mathematics) , function (biology) , margin (machine learning) , set (abstract data type) , linear programming , computer science , mathematics , geometry , electronic engineering , evolutionary biology , machine learning , engineering , biology , programming language
The purpose of this paper is to extend the sensitivity analysis methodology as it applies to linear programming. The methodology developed herein is concerned with those changes in a technological coefficient that cause simultaneous changes in the relevant cost coefficients of the objective function. By proceeding from the definitions of feasibility and optimality, the authors develop formulas for determining bounds on the extent to which a technological coefficient, which has a predetermined effect on the corresponding cost coefficient, can vary without changing the optimal set of activities. After the formulas are developed, their use is demonstrated on a product‐mix problem. This technique is of interest because changes in the rate at which an input is utilized can be expected to change the cost per unit of a resulting product. This interdependence should be recognized whenever a sensitivity analysis is performed on a technological coefficient of either a cost minimization or a contribution margin maximization problem.