Analyzing Scheduled Maintenance Policies for Repairable Computer Systems

A solution method is developed to analyze various scheduled maintenance policies for repairable computer systems. The analysis is applicable to systems with behavior (exclusive of the scheduled maintenance policy) that can be modeled by a continuous-time Markov process, and thus important characteristics can be included in the model. Furthermore, the assumption of perfect repair, which is unrealistic for most systems, is not used. Both transient and steady-state measures are obtained. The measures considered include expected availability, expected number of unscheduled repairs (repairs that are performed outside of the scheduled maintenance period), and the probability of an unscheduled repair. The solution approach is based on the randomization technique and possesses advantage such as numerical stability and ease of implementation. >

[1]  Edmundo de Souza e Silva,et al.  Calculating Cumulative Operational Time Distributions of Repairable Computer Systems , 1986, IEEE Transactions on Computers.

[2]  Kishor S. Trivedi,et al.  Markov reliability models for digital flight control systems , 1989 .

[3]  Toshio Nakagawa,et al.  Optimum Policies for a System with Imperfect Maintenance , 1987, IEEE Transactions on Reliability.

[4]  Donald Gross,et al.  The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes , 1984, Oper. Res..

[5]  Edmundo de Souza e Silva,et al.  Calculating availability and performability measures of repairable computer systems using randomization , 1989, JACM.

[6]  Harold E. Ascher,et al.  Repairable Systems Reliability: Modelling, Inference, Misconceptions and Their Causes , 1984 .

[7]  D. R. Miller Reliability calculation using randomization for Markovian fault-tolerant computing systems , 1982 .

[8]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[9]  Daniel P. Siewiorek,et al.  Reliability models for multiprocessor systems with and without periodic maintenance , 1976 .

[10]  Kishor S. Trivedi Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[11]  Tharam S. Dillon,et al.  The Effect of Incomplete and Deleterious Periodic Maintenance on Fault-Tolerant Computer Systems , 1986 .

[12]  Winfried K. Grassmann Transient solutions in markovian queueing systems , 1977, Comput. Oper. Res..

[13]  J. Keilson Markov Chain Models--Rarity And Exponentiality , 1979 .

[14]  T. S. Dillon,et al.  The Effect of Incomplete and Deleterious Periodic Maintenance on Fault-Tolerant Computer Systems , 1986, IEEE Transactions on Reliability.