Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience

Benny Van Houdt

European Journal of Operational Research, 2012, vol. 220, issue 3, 695-704

Abstract: In this paper we introduce the adaptive MMAP[K] arrival process and analyze the adaptive MMAP[K]/PH[K]/1 queue. In such a queueing system, customers of K different types with Markovian inter-arrival times and possibly correlated customer types, are fed to a single server queue that makes use of r thresholds. Service times are phase-type and depend on the type of customer in service. Type k customers are accepted with some probability ai,k if the current workload is between threshold i−1 and i. The manner in which the arrival process changes its state after generating a type k customer also depends on whether the customer is accepted or rejected.

Keywords: Queueing; Multi-type queues; Adaptive arrivals; General impatience; Fluid queues; Markov jump process (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:220:y:2012:i:3:p:695-704

DOI: 10.1016/j.ejor.2012.02.029

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