Analysis of the \(M_t/M/1\) queueing system with impatient customers and single vacation

DOI10.1007/S13571-024-00326-YMaRDI QIDQ6635364

Reza Pourtaheri, Ali Yousefi, Mohammad Reza Salehi Rad

Publication date: 9 November 2024

Published in: Sankhyā. Series B (Search for Journal in Brave)

zbMATH Keywords

performance measuressingle vacationnon-stationary Poisson processsinusoidal functionimpatient

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy
• The \(M/M/1\) queue with synchronized abandonments
• A sample path analysis of the \(M_t/M_t/c\) queue
• Analysis of customers' impatience in queues with server vacations
• A survey and experimental comparison of service-level-approximation methods for nonstationary \(M(t)/M/s(t)\) queueing systems with exhaustive discipline
• The asymptotic behavior o queues with time-varying arrival rates
• Some Effects of Nonstationarity on Multiserver Markovian Queueing Systems
• Improving the Sipp Approach for Staffing Service Systems That Have Cyclic Demands
• Upper Bounds for Single Server Queues with Doubly Stochastic Poisson Arrivals
• A Closure Approximation for the Nonstationary M/M/s Queue
• Queues with non-stationary input stream: Ross's conjecture
• Average delay in queues with non-stationary Poisson arrivals
• Fundamentals of Queueing Theory
• On the Accuracy of the Simple Peak Hour Approximation for Markovian Queues

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