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作者机构:Newcastle Univ Sch Comp Newcastle Upon Tyne England
出 版 物:《ACM TRANSACTIONS ON MODELING AND PERFORMANCE EVALUATION OF COMPUTING SYSTEMS》 (ACM Trans. Model. Perform. Eval. Comput. Syst.)
年 卷 期:2024年第9卷第3期
页 面:1-23页
核心收录:
基 金:Science Committee Ministry of Education and Science Republic of Kazakhstan [AP09259208]
主 题:M/G/1 queue embedded Markov chains server vacations checkpoint optimisation
摘 要:A server subject to random breakdowns and repairs offers services to incoming jobs whose lengths are highly variable. A checkpointing policy is in operation, aiming to protect against possibly lengthy recovery periods by backing up the current state at periodic checkpoints. The problem of how to choose a checkpointing interval to optimise performance is addressed by analysing a general queueing model which includes breakdowns, repairs, back-ups and recoveries. Exact solutions are obtained under both Markovian and non-Markovian assumptions. Numerical experiments illustrate the conditions where checkpoints are useful and where they are not, and, in the former case, quantify the achievable benefits.