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Simulation of queueing systems with many stations and of queueing networks using copulas

Ciuiu, Daniel (2010): Simulation of queueing systems with many stations and of queueing networks using copulas. Published in: Scientific Journal Mathematical Modeling in Civil Engineering , Vol. 6, No. 3 (October 2010): pp. 72-86.

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Abstract

In this paper we will generate queueing systems with c stations where the inter-arrival time and the c service times depend through a c+1 copula C. We will consider two models: first when the customer does not know the order of service times for the free service channels (he/she chooses the service channel randomly), and the second when he/she knows this order (he/she chooses the fastest free service channel). The marginals can be exponential, Erlang or hyper-exponential.

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