Large-scale parallel server system with multi-component jobs

Seva Shneer, Alexander L. Stolyar

Research output: Contribution to journalArticlepeer-review

Abstract

A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity, while the system load remains sub-critical. Arriving jobs consist of multiple components. There are multiple job classes, and each class may be of one of two types, which determines the rule according to which the job components add workloads to the servers. The model is broad enough to include as special cases some popular queueing models with redundancy, such as cancel-on-start and cancel-on-completion redundancy. Our analysis uses mean-field process representation and the corresponding mean-field limits. In essence, our approach relies almost exclusively on three fundamental properties of the model: (a) monotonicity, (b) work conservation and (c) the property that, on average, “new arriving workload prefers to go to servers with lower workloads.”
Original languageEnglish
JournalQueueing Systems
Early online date17 Feb 2021
DOIs
Publication statusE-pub ahead of print - 17 Feb 2021

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