Accession Number:

AD0751868

Title:

Approximations for the Repairman Problem with Two Repair Facilities. 2. Spares

Descriptive Note:

Technical rept.

Corporate Author:

CONTROL ANALYSIS CORP PALO ALTO CA

Report Date:

1972-10-01

Pagination or Media Count:

25.0

Abstract:

The report considers a generalization of the repairman models treated in a previous report. Here the system studied consists of n operating units, Mn spare units, and two repair facilities. The operating units are subject to failures of two types minor and major. Minor failures are sent to a local repair facility and major failures to a central repair facility. Once a unit is repaired it is returned to the spare pool is n units are operating, otherwise it goes directly into operation. The stochastic processes representing the number of units waiting or undergoing repair at each of the two repair facilities is a finite state, continuous-parameter Markov chain, which attains a stationary or steady-state distribution after a long time has elapsed. The method developed in this paper provides a readily calculated approximation when n is large, along with results which allow for reliable prediction of system performance. The principal concern in this paper is to understand how system performance is effected by the many system parameters.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE