On a Two-Stage Birth and Death Queueing Process

Christos Langaris
Additional contact information
Christos Langaris: University of Ioannina, Ioannina, Greece

Operations Research, 1989, vol. 37, issue 3, 488-497

Abstract: A sequential two-stage service system with a single server at each stage and finite waiting space in both stages is considered. If the second stage is full, upon a service completion in stage 1, then the customer is unable to emerge from the first stage channel and this channel is blocked. An additional feature of the model is the provision of state-dependent arrival and service rates. The state probabilities p ij and all moments of the waiting time of a customer in stage 1 and in the whole system are obtained. Finally, various characteristics of state-dependent tandem systems are evaluated and conclusions are drawn from numerical calculations.

Keywords: queues; birth-death: arrivals and departures of birth-death type; queues; tandem: two infinite queues in tandem (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.37.3.488 (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:37:y:1989:i:3:p:488-497

Access Statistics for this article

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