Efficient Simulation via Validation and Application of an External Analytical Model

Abstract

This research makes significant contributions towards improving the efficiency of simulation studies using an external analytical model. The foundation for this research is the analytical control variate (ACV) method. The ACV method can produce significant variance reduction, but the resulting point estimate may exhibit bias. A Monte Carlo sampling method for resolving the bias problem is developed and demonstrated through a queueing network example. The method requires knowledge of the parameters and approximate distributions of the random variables used to produce the ACV. Often, some of these parameters or distributions are not known. Both parametric and non-parametric alternatives to the Monte Carlo method are explored for these cases. Significant variance reduction using an ACV indicates that the outputs of both models are highly correlated. This relationship is exploited and a new methodology is developed for conducting searches of a simulation design space using an analytical model vice a simulation model. The justification for the new surrogate search method is based on validating the analytical model to the simulation model. The effectiveness of the method is demonstrated on two simulation models including the HQ AMC Mobility Analysis Support System (MASS) model.

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Document Details

Document Type
Technical Report
Publication Date
Sep 14, 1999
Accession Number
ADA369028

Entities

People

  • Thomas H. Irish

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Data Science
  • Experimental Design
  • Information Science
  • Mathematical Models
  • Military Aircraft
  • Monte Carlo Method
  • Probability
  • Queueing Theory
  • Random Variables
  • Sampling
  • Statistical Algorithms

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Marine Hydrodynamics

Technology Areas

  • Space