Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience |
| |
Authors: | Benny Van Houdt |
| |
Institution: | Department of Mathematics and Computer Science, University of Antwerp – IBBT, Belgium |
| |
Abstract: | In this paper we introduce the adaptive MMAPK] arrival process and analyze the adaptive MMAPK]/PHK]/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 |
本文献已被 ScienceDirect 等数据库收录! |