 Queueing models with optional cooperative servicesSrinivas R. Chakravarthy European Journal of Operational Research, 2016, vol. 248, issue 3, 997-1008 Abstract: In this paper we consider a single-server queueing model in which the customers arrive according to a versatile point process that includes correlated arrivals. An arriving customer can either request for an individual service or for a cooperative service (to be offered along with other customers with similar requests) with some pre-specified probabilities. There is a limit placed on the number of customers requiring cooperative services at any given time. Assuming the service times to be exponentially distributed with possibly different parameters depending on individual or cooperative services, we analyze this model using matrix-analytic method. Second, we simulate this model to obtain a couple of key performance measures which are difficult to compute analytically as well as numerically to show the benefit of cooperative services in queueing. Interesting numerical examples from both analytical and simulated models are discussed. We believe this type of queueing model, which is very much applicable in service areas, has not been studied in the literature. Keywords: Queueing; Cooperative services; Matrix-analytic method; Simulation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:248:y:2016:i:3:p:997-1008 DOI: 10.1016/j.ejor.2015.08.015 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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