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Journals ACM SIGMETRICS Performance Evaluation Review Volume 20 Issue 1

Multiprocessor Systems with General Breakdowns and Repairs Ram Computing Newcastle Email: Chakka and Isi Mitrani of Newcastle England ac.uk Laboratory, upon Tyne University NE1 7RU, isi.mitrani@hewcastle. Extended abstract N), and(c) (k, j “1) the transition (O<i, rate k Al. is the joint pi,j, and are assubed The time procesto time, afZJt a at a rannumt, system state one a certain sors and ter each time, time. dom ber break return being down to an from operative When jobs, Of interest distribution, erative jobs in the steady-state of opof the number repaired. serves operative, to occupy of the number the Introducing processor processors system. and each job is allowed one operative Let I(t) and J(t) at most processor be the the row vectors Vj = whose with (Po,j?Pl,j7 œ œ œ @V,j) 1 variables of operative representing processors of jobs J(t)] at time and the number at time that space possible are to X irreducible {0,1, = {[l(t), in the elements j jobs represent the states t, respectively. Markov . .. N}N} It is assumed ; t > O} is an with state The in the system, the balance as: (1) equations vjQ() where simply for j z M!

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Multiprocessor systems with general breakdowns and repairs (extended abstract)

Chakka, Ram; Mitrani, Isi
ACM SIGMETRICS Performance Evaluation Review , Volume 20 (1)
Association for Computing Machinery – Jun 1, 1992

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