Analysis of Departure Process in Batch Arrival Queue with Multiple Vacations and Exhaustive Service

DOI10.1080/03610926.2011.562767zbMath1247.60128OpenAlexW2108625871MaRDI QIDQ3098923

Wojciech M. Kempa

Publication date: 18 November 2011

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.562767

zbMATH Keywords

queueingschedulingperformance evaluationqueueing theoryqueues and service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (7)

The structure of departure process and optimal control strategy \(N^*\) for \(Geo/G/1\) discrete-time queue with multiple server vacations and \(\mathrm{Min}(N,V)\)-policy ⋮ Transient workload distribution in the \(M/G/1\) finite-buffer queue with single and multiple vacations ⋮ Multi server queuing system with crashes and alternative repair strategies ⋮ Analysis of a model of batch arrival single server queue with random vacation policy ⋮ The analysis of unreliable M^[X/G/1 queuing system with loss, vacation and two delays of verification] ⋮ Queue-Size Distribution in Energy-Saving Model Based on Multiple Vacation Policy ⋮ A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning

Cites Work

• Unnamed Item
• Queueing systems with vacations - a survey
• Application of the superposition of renewal processes to the study of batch arrival queues
• On the transient departure process of \(M^x/G/1\) queueing system with single server vacation
• Explicit Formulae for the Queue Length Distribution of Batch Arrival Systems
• The Virtual Waiting Time for the Batch Arrival Queueing Systems
• Some New Results for Departure Process in theM^X/G/1 Queueing System with a Single Vacation and Exhaustive Service
• The Departure Process for Queueing Systems with Batch Arrival of Customers

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