Formulation and Analysis of Some Combat-Logistics Problems.

Abstract

Models are developed to study the readiness and subsequent combat performance of an air-interceptor squadron facing sudden attack. These models necessarily link combat with logistics. The models are mainly analytical and not a Monte Carlo simulation, and can be used to indicate the optimal weapon system to be procured and to study the effect of peacetime decisions on combat outcomes. The logistics models use the matrix-geometric approach to study the general multivariate repairman problem, with the possibility of simultaneous component failures. A repairman assignment problem is formulated and solved using a multivariate continuous-time Markov decision process. Surprise scenarios are analyzed and represented explicitly. Air-to-air combat is modelled as a transient multivariate continuous-time discrete-state Markov process. Diffusion theory is used to approximate the solutions. The reason for using diffusions is ease of interpretation and computational economy. A comparison with simulation results shows that diffusion approximation is provided by applying large deviations procedures.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA174614

Entities

People

  • Abdul-latif R. Al-zayani

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aircrafts
  • Command And Control
  • Computational Science
  • Control Systems
  • Defense Systems
  • Failure Mode And Effect Analysis
  • Linear Programming
  • Logistics
  • Maintenance
  • Mathematical Models
  • Mathematical Programming
  • Monte Carlo Method
  • Operations Research
  • Random Variables
  • Stochastic Processes
  • Supply Depots
  • Warning Systems

Fields of Study

  • Engineering

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Naval Mine Countermeasure Systems Development.