The \(M^ X/G/1\) queue with single and multiple vacations under the LIFO service regime

DOI10.1016/0167-6377(93)90029-GzbMath0792.60094OpenAlexW2087582824MaRDI QIDQ1319688

Uri Yechiali, Eitan Rosenberg

Publication date: 24 July 1994

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(93)90029-g

zbMATH Keywords

decompositionLaplace-Stieltjes transformmultiple vacationssingle vacations

Mathematics Subject Classification ID

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

Related Items (13)

Analysis of theM^x/G/1 Queue with a Random Setup Time ⋮ A batch arrival queue with an additional service channel under \(N\)-policy ⋮ Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations ⋮ Improving efficiency of service systems by performing a part of the service without the customer's presence ⋮ On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy. ⋮ A two phase batch arrival queueing system with a vacation time under Bernoulli schedule. ⋮ Discrete-time \(\mathrm{Geo}^X/G/1\) queue with unreliable server and multiple adaptive delayed vacations ⋮ Batch arrival queues under vacation policies with server breakdowns and startup/closedown times ⋮ Locality of reference and the use of sojourn time variance for measuring queue unfairness ⋮ Performance improvement of a service system via stocking perishable preliminary services ⋮ A queueing system with decomposed service and inventoried preliminary services ⋮ A Batch Arrival Queue with a Second Optional Service Channel UnderN-Policy ⋮ M^x/G/1 Queue with Multiple Vacations

Cites Work

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• Second moment relationships for waiting times in queueing systems with Poisson input
• On the \(M^ X/G/1\) queue with vacation time
• Queueing systems with vacations - a survey
• Priority queues with batch Poisson arrivals
• On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
• Technical Note—Delays in Single-Server Queues with Batch Input
• Utilization of Idle Time in an M/G/1 Queueing System

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