Response Time Distribution in a D-MAP/PH/1 Queue with General Customer Impatience

DOI10.1081/STM-200056212zbMath1071.60092OpenAlexW2081834804MaRDI QIDQ5462815

J. Van Velthoven, Benny Van Houdt, Chris Blondia

Publication date: 27 July 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-200056212

zbMATH Keywords

matrix analytic methodimpatient customersQBD processage-process

Mathematics Subject Classification ID

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

Related Items

On a doubly dynamically controlled supermarket model with impatient customers ⋮ A batch arrival $M^X/M/c$ queue with impatient customers ⋮ Analysis of the adaptive \(MMAP[K/PH[K]/1\) queue: a multi-type queue with adaptive arrivals and general impatience] ⋮ Performance analysis of a block-structured discrete-time retrial queue with state-dependent arrivals ⋮ On the probability of abandonment in queues with limited sojourn and waiting times ⋮ Comparison results for M/G/1 queues with waiting and sojourn time deadlines

Cites Work

• Delay distribution of (im)patient customers in a discrete time D-MAP/PH/1 queue with age-dependent service times
• Finite birth-and-death models in randomly changing environments
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• Statistical multiplexing of VBR sources: A matrix-analytic approach
• The Waiting Time Distribution of a TypekCustomer in a Discrete-Time MMAP[K/PH[K]/c (c = 1, 2) Queue Using QBDs]