Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

DOI10.1081/SAP-200050101zbMath1066.60084OpenAlexW2045341171MaRDI QIDQ4678737

S. Pavai Madheswari, B. Krishna Kumar

Publication date: 23 May 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-200050101

zbMATH Keywords

stationary distribution

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Sample path properties (60G17)

Related Items (9)

Transient behavior of a two-processor heterogeneous system with catastrophes, server failures and repairs ⋮ \(\mathrm{M}/\mathrm{M}/1\) queue in two alternating environments and its heavy traffic approximation ⋮ Revisiting the model of servicing machines with repairable service facility---a new analyzing idea and some new results ⋮ Transient analysis of an M/M/1 queue with reneging, catastrophes, server failures and repairs ⋮ Transient analysis of an M/M/c queuing system with balking and retention of reneging customers ⋮ Time dependent analysis of an M/M/1/N queue with catastrophes and a repairable server ⋮ Transient analysis of N-policy queue with system disaster repair preventive maintenance re-service balking closedown and setup times ⋮ Unnamed Item ⋮ Transient Analysis of a Repairable Single Server Queue with Working Vacations and System Disasters

Cites Work

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• Unreliable queueing systems
• A single server priority queue with server failures and queue flushing
• A Pollaczek–Khintchine formula for M/G/1 queues with disasters
• Queueing networks by negative customers and negative queue lengths
• Some Queuing Problems with the Service Station Subject to Breakdown
• What is the Laplace Transform?

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