Monte Carlo Optimization of Stochastic Systems: Two New Approaches.

Abstract

The design of modern manufacturing systems presents a number of challenges. In particular, the stochastic nature of machine failures in combination with the large number of decision variables makes optimization of such systems difficult. This paper presents two new approaches to optimization of the complex stochastic systems that arise in a manufacturing context; both are Monte Carlo simulation-oriented, and are therefore broadly applicable. The first technique involves using a likelihood ratio gradient estimate to drive a Robbins-Monro algorithm, and is relevant to problems in which the decision variables are continuous. The second idea employs homotopy methods to follow an optimal path in decision variable space, and can be used for both discrete and continuous optimization.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA172777

Entities

People

  • Jerry L. Sanders
  • Peter W. Glynn

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Assembly
  • Data Science
  • Engineering
  • Estimators
  • Information Science
  • Manufacturing
  • Markov Chains
  • Mathematics
  • Monte Carlo Method
  • Optimization
  • Probability
  • Sampling
  • Statistical Algorithms
  • Statistics
  • United States
  • Wisconsin

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Systems Analysis and Design

Technology Areas

  • Space