Balking and reneging in M/G/s systems: exact analysis and approximation

L.Q. Liu, V.G. Kulkarni

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)


We consider the virtual queuing time (vqt, also known as work-in-system, or virtual-delay) process in an M/G/s queue with impatient customers. We focus on the vqt-based balking model and relate it to reneging behavior of impatient customers in terms of the steady-state distribution of the vqt process. We construct a single-server system, analyze its operating characteristics, and use them to approximate the multiserver system. We give both analytical results and numerical examples. We conduct simulation to assess the accuracy of the approximation.
Original languageEnglish
Pages (from-to)355-371
Number of pages17
JournalProbability in the Engineering and Informational Sciences
Issue number3
Publication statusPublished - 2008


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