Accession Number : AD0785844

Title :   Optimal Operating Policy for the Machine Repair Problem.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Goheen,Lola Pearl Coleman

Report Date : 05 AUG 1974

Pagination or Media Count : 206

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)

Descriptors :   *Machines, *Repair, *Downtime, Failure(Mechanics), Statistical processes, Distribution functions, Queueing theory, Nonlinear programming, Cost analysis, Linear programming, Markov processes, Maintainability, Scheduling

Subject Categories : Operations Research
      Machinery and Tools

Distribution Statement : APPROVED FOR PUBLIC RELEASE