Nonlinear Stochastic Optimization by the Monte-Carlo Method
Volume 11, Issue 4 (2000), pp. 455–468
Pub. online: 1 January 2000
Type: Research Article
Received
1 May 2000
1 May 2000
Published
1 January 2000
1 January 2000
Abstract
Methods for solving stochastic optimization problems by Monte-Carlo simulation are considered. The stoping and accuracy of the solutions is treated in a statistical manner, testing the hypothesis of optimality according to statistical criteria. A rule for adjusting the Monte-Carlo sample size is introduced to ensure the convergence and to find the solution of the stochastic optimization problem from acceptable volume of Monte-Carlo trials. The examples of application of the developed method to importance sampling and the Weber location problem are also considered.