Approximation method for \(M/PH/1\) retrial queues with phase type inter-retrial times

DOI10.1016/S0377-2217(98)00004-6zbMath0947.90025OpenAlexW1970662557WikidataQ126643115 ScholiaQ126643115MaRDI QIDQ1124821

Attahiru Sule Alfa, Jeffrey E. Diamond

Publication date: 28 November 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(98)00004-6

zbMATH Keywords

queueingapproximationmatrix analytical methodretrial queues

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (16)

On a batch retrial model with \(J\) vacations ⋮ An unreliable retrial queue with delaying repair and general retrial times under Bernoulli vacation schedule ⋮ Quasi-geometric and Gamma Approximation for Retrial Queueing Systems ⋮ DIMENSION REDUCTION FOR APPROXIMATION OF ADVANCED RETRIAL QUEUES : TUTORIAL AND REVIEW ⋮ Analysis of M/m/c Retrial Queue with Thresholds, Ph Distribution of Retrial Times and Unreliable Servers ⋮ Retrial queues with constant retrial times ⋮ Approximation of \(M/M/c\) retrial queue with PH-retrial times ⋮ APPROXIMATION OF PH/PH/c RETRIAL QUEUE WITH PH-RETRIAL TIME ⋮ \(M^{[x}/(G_{1}, G_{2})/1\) retrial queue under Bernoulli vacation schedules with general repeated attempts and starting failures] ⋮ A RETRIAL QUEUEING MODEL WITH THRESHOLDS AND PHASE TYPE RETRIAL TIMES ⋮ Retrial Queue M/G/1 with Impatient Calls Under Heavy Load Condition ⋮ A two-class queueing system with constant retrial policy and general class dependent service times ⋮ Quasi-Geometric, Gamma and Gaussian Approximations for Multiserver Retrial Queueing Systems ⋮ Algorithmic analysis of the MAP/PH/1 retrial queue ⋮ A Retrial Queueing System with Alternating Inter-retrial Time Distribution ⋮ Asymptotic Analysis Methods for Multi-Server Retrial Queueing Systems

Cites Work

• Unnamed Item
• An \(M/M/1\) retrial queue with control policy and general retrial times
• An approximation method for the \(M/G/1\) retrial queue with general retrial times
• Monotonicity properties of single-server retrial queues
• Analysis of a G/M/K/O queueing loss system with heterogeneous servers and retrials
• Single-line repeated orders queueing systems¹
• The map/ph/1 retrial queue
• Matrix analytical methods for M/PH/1 Retrial queues

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