Analyzing \(GI/E_ r/1\) queues

DOI10.1016/0167-6377(96)00024-7zbMath0873.90035OpenAlexW2026122579MaRDI QIDQ1360112

Ivo J. B. F. Adan, Yiqiang Q. Zhao

Publication date: 15 July 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6377(96)00024-7

zbMATH Keywords

Markov chainsingle-server systemErlang-\(r\) distributed service times

Mathematics Subject Classification ID

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

Related Items (10)

ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS ⋮ Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach ⋮ Analytic and computational analysis of the discrete-time \(GI/D\)-\(MSP/1\) queue using roots ⋮ The periodic steady-state solution for queues with Erlang arrivals and service and time-varying periodic transition rates ⋮ On the limiting probabilities of the \(\mathrm{M}/\mathrm{E}_r/1\) queueing system ⋮ On the application of Rouché's theorem in queueing theory ⋮ A note on simple eigenvalues of matrix polynomials in queueing models with Erlang distribu\-tions ⋮ Asymptotics of the maximum of Brownian motion under Erlangian sampling ⋮ AN ALTERNATING SERVICE PROBLEM ⋮ Analytic computation schemes for the discrete-time bulk service queue

Cites Work

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• Approximations for the conditional waiting times in the GI/G/c queue
• An algorithm for Ph/Ph/c queues
• A simple technique in Markovian control with applications to resource allocation to resource allocation in communication networks
• Mean waiting time of a Gamma/Gamma/1 queue
• Computational analysis of steady-state probabilities of \(M/G^{a,b}/1\) and related nonbulk queues
• A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue
• A Simple Numerical Approach for Infinite-State Markov Chains
• Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes
• Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue
• A Class of Approximations for the Waiting Time Distribution in aGI/G/1 Queueing System

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