Stability criterion of a multiserver model with simultaneous service

Alexander Rumyantsev () and Evsey Morozov ()
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Alexander Rumyantsev: Karelian Research Centre, RAS
Evsey Morozov: Karelian Research Centre, RAS

Annals of Operations Research, 2017, vol. 252, issue 1, No 3, 29-39

Abstract: Abstract In this paper, we study a multiserver system in which each customer requires a random number of servers simultaneously and a random but identical service time at all occupied servers. This model describes the dynamics of modern high performance clusters. Stability criteria of this system (under exponential assumptions) have been proved earlier for the two-server system only. Using a matrix-analytic approach, we obtain stability criteria of such a system under exponential assumptions and with an arbitrary number of servers.

Keywords: Multi-server systems; Simultaneous service; Concurrent server release; Stability conditions; Stationary workload; High-performance cluster; Supercomputer; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10479-015-1917-2

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