Analysis of a machine repair problem with an unreliable server and phase type repairs and services
Naval Research Logistics
In this paper we study a machine repair problem in which a single unreliable servermaintains N identical machines. The breakdown times of the machines are assumed to follow anexponential distribution. The server is subject to failure and the failure times are exponentiallydistributed. The repair times of the machine and the service times of the repairman are assumedto be of phase type. Using matrix-analytic methods, we perform steady state analysis of thismodel. The time spent by a failed machine in service and the total time in the repair facility areshown to be of phase type. Several performance measures are evaluated. An optimizationproblem to determine the number of machines to be assigned to the server that will maximize theexpected total proﬁt per unit time is discussed. An illustrative numerical example is presented.© 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 462– 480, 2003.
© 2002 John Wiley & Sons, Inc. All Rights Reserved
Chakravarthy, Srinivas R. and Agarwal, Atul, "Analysis of a machine repair problem with an unreliable server and phase type repairs and services" (2002). Industrial & Manufacturing Engineering Publications. 25.