A Single Server Queueing Loss Model with Heterogeneous Arrival and Service

Shun-Chen Niu
Additional contact information
Shun-Chen Niu: Cleveland State University, Cleveland, Ohio

Operations Research, 1980, vol. 28, issue 3-part-i, 584-593

Abstract: A heterogeneous arrival and service single server queueing loss model is analyzed. The arrival process of customers is assumed to be a nonstationary Poisson process with an intensity function whose evolution is governed by a two-state continuous time Markov chain. Different service distributions for different types of customers are allowed. The explicit loss formula for the model considered is obtained. In a special case, it is shown that as the arrival process becomes more regular the loss decreases. For single server loss systems with renewal arrivals, counterexamples are given to show that regularity of arrival and service distributions do not work to good effect in general. Two sufficient conditions for it to be true are given.

Date: 1980
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.28.3.584 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:28:y:1980:i:3-part-i:p:584-593

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().