Optimal Operating Policy for the Machine Repair Problem.

Abstract

This paper treats the following decision problem: to assign (at the time of each failure) the failed machine to a repair facility so as to minimize the long run average cost when K greater than or equal to 2. Using the theory of Markov processes the paper discusses this decision problem under various hypotheses: (1) When failure and repair times have Erlang distribution; (2) when the M = m+n machines are divided into G classes with a failed machine being replaced only by one of like class, each repair facility operates under a pre-emptive repeat priority queue discipline with class j having priority over class l greater than j, and failure and repair times have exponential distribution; (3) when each machine is subject to delta different types of failure, the time to a failure of type i has exponential distribution, and repair times have Erlang distribution. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Aug 05, 1974
Accession Number
AD0785844

Entities

People

  • Lola Pearl Coleman Goheen

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Buildings And Structures
  • Hypotheses
  • Markov Processes
  • Mathematics

Fields of Study

  • Engineering

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