Optimization of Stochastic Response Surfaces Subject to Constraints with Linear Programming
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH
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This research investigated an alternative to the traditional approaches of optimizing a stochastic response surface subject to constraints. This research investigated the bias in the expected value of the solution, possible alternative decision variable settings, and a method to improve the solution. A three step process is presented to evaluate stochastic response surfaces subject to constraints. Step 1 is to use a traditional approach to estimate the response surface and a covariance matrix through regression. Step 2 samples the objective function of the linear program i.e., response surface and identifies the extreme points visited. Step 3 presents a method to estimate the optimal extreme point and present that information to a decision maker.
- Statistics and Probability
- Operations Research