An \(M/M/2\)-parallel system model with pure space sharing among rigid jobs

DOI10.1016/j.mcm.2006.06.007zbMath1165.90391OpenAlexW2077187556MaRDI QIDQ1029164

H. Karatza, D. Filippopoulos

Publication date: 9 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.06.007

zbMATH Keywords

stabilityMarkov processdiscriminantbalance equationspartial derivativeparallel systemquartic roots

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Stochastic scheduling theory in operations research (90B36) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (7)

Two-server parallel system with pure space sharing and Markovian arrivals ⋮ Three-level modeling of a speed-scaling supercomputer ⋮ Stability analysis of a multi-server model with simultaneous service and a regenerative input flow ⋮ Evaluating shortfall distributions in periodic inventory systems with stochastic endogenous demands and lead-times ⋮ A two-class parallel system with general service times of the parallel class ⋮ Stability criterion of a multiserver model with simultaneous service ⋮ Open problems in queueing theory inspired by datacenter computing

Cites Work

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• Stochastic analysis of gang scheduling in parallel and distributed systems
• Maximum Processing Rates of Memory Bound Systems
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Solving the Quartic with a Pencil

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