Explicit formulae and convergence rate for the system M α /G/1/N as N→∞

DOI10.1081/STM-120002775zbMath1001.60097MaRDI QIDQ4532397

Mykola Bratiychuk, Barbara Borowska

Publication date: 22 July 2002

Published in: Stochastic Models (Search for Journal in Brave)

zbMATH Keywords

virtual waiting timestationary distributionsnumber of customers in linenumber of customers lost during busy period

Mathematics Subject Classification ID

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

Related Items (7)

Potentials method for \(M/G/1/m\) systems with threshold operating strategies ⋮ Potentials method for \(M/G/1/m\) systems with hysteretic operating strategies ⋮ An investigation of an $M^{\theta }/G/1/m$ queueing system with service mode switching ⋮ The potentials method for a closed queueing system with hysteretic strategy of the service time change ⋮ On the loss process in a batch arrival queue ⋮ Queueing systems with resume level ⋮ Burst ratio in the finite-buffer queue with batch Poisson arrivals

Cites Work

• Unnamed Item
• Convergence rate for the distributions of GI/M/1/n and M/GI/1/n as n tends to infinity

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