Sojourn time distributions in a Markovian G -queue with batch arrival and batch removal

Yang Woo Shin

International Journal of Stochastic Analysis, 1999, vol. 12, 1-18

Abstract:

We consider a single server Markovian queue with two types of customers; positive and negative, where positive customers arrive in batches and arrivals of negative customers remove positive customers in batches. Only positive customers form a queue and negative customers just reduce the system congestion by removing positive ones upon their arrivals. We derive the LSTs of sojourn time distributions for a single server Markovian queue with positive customers and negative customers by using the first passage time arguments for Markov chains.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:723258

DOI: 10.1155/S1048953399000301

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