Optimal \((d,c)\) vacation policy for a finite buffer \(M/M/c\) queue with unreliable servers and repairs.

DOI10.1016/J.APM.2009.01.008zbMath1205.90089OpenAlexW2009420228MaRDI QIDQ965554

Jyun-Yi Yang, Jau-Chuan Ke, Chuen-Horng Lin, Zhe George Zhang

Publication date: 24 April 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.01.008

zbMATH Keywords

Markovian queueserver vacationsdirect search algorithmunreliable serversaverage profit

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (6)

Performance analysis and optimization of a machine repair problem with warm spares and two heterogeneous repairmen ⋮ An queueing system with no damage service interruptions ⋮ Analysis of MAP/M/1 queue with working breakdowns ⋮ The M/G/1 queue with disasters and working breakdowns ⋮ Algorithmic analysis of the multi-server system with a modified Bernoulli vacation schedule ⋮ Algorithmic computation of steady-state probabilities in an almost observable \(GI/M/c\) queue with or without vacations under state dependent balking and reneging

Cites Work

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• Analysis of the M^x/G/1 queue by N-policy and multiple vacations
• An M\(^{X}\)/G/1 queueing system with a setup period and a vacation period

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