About the Sojourn Time Process in Multiphase Queueing Systems

S. Minkevičius () and S. Steišūnas ()
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S. Minkevičius: Institute of Mathematics and Informatics
S. Steišūnas: Institute of Mathematics and Informatics

Methodology and Computing in Applied Probability, 2006, vol. 8, issue 2, 293-302

Abstract: Abstract Multiphase queueing systems (MQS) (tandem queues, queues in series) are of special interest both in theory and in practical applications (packet switch structures, cellular mobile networks, message switching systems, retransmission of video images, asembly lines, etc.). In this paper, we deal with approximations of MQS and present a heavy traffic limit theorems for the sojourn time of a customer in MQS. Functional limit theorems are proved for the customer sojourn time – an important probability characteristic of the queueing system under conditions of heavy traffic.

Keywords: Mathematical models of technical systems; Queueing systems; Multiphase queueing systems; Functional limit theorem; Heavy traffic limit; Sojourn time of a customer; Primary 60K25; Secondary 60G70; 60F17 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s11009-006-8553-x

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