On the \(M/G/1\) machine interference model with spares

DOI10.1016/S0377-2217(96)90068-5zbMath0908.90140OpenAlexW2084546635MaRDI QIDQ1266666

U. C. Gupta, T. S. S. Srini Vasa Rao

Publication date: 7 October 1998

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(96)90068-5

zbMATH Keywords

queueingsteady staterecursive methodcomputational analysisnumber of down machinesrepairmansteady state probability distribution

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (13)

Analysis and optimization of an \(M/G/1\) machine repair problem with multiple imperfect coverage ⋮ A survey of the machine interference problem ⋮ Optimal control of an \(M/G/1/K\) queueing system with combined \(F\) policy and startup time ⋮ An efficient convolution algorithm for the non-Markovian two-node cyclic network ⋮ A recursive method for the \(F\)-policy \(G/M/1/K\) queueing system with an exponential startup time ⋮ Performance modeling of state dependent system with mixed standbys and two modes of failure ⋮ Cost benefit analysis of availability systems with warm standby units and imperfect coverage ⋮ Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures ⋮ Survey on queueing models with standbys support ⋮ A recursive method for the \(N\) policy \(G/M/1\) queueing system with finite capacity ⋮ A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity ⋮ Availability of a repairable retrial system with warm standby components ⋮ Sensitivity analysis of the machine repair problem with general repeated attempts

Cites Work

• The G/M/r machine interference model
• A recursive method to compute the steady state probabilities of the machine interference model: (M/G/1)/\(K\)
• A Combinatorial Method in the Theory of Queues
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