We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
DISCRETE-TIME GI<sup>X</sup>/GEO/1/N QUEUE WITH WORKING VACATIONS AND VACATION INTERRUPTION.
- Authors
GAO, SHAN; LIU, ZAIMING; DU, QIWEN
- Abstract
In this paper, we study a discrete-time finite buffer batch arrival queue with multiple geometric working vacations and vacation interruption: the server serves the customers at the lower rate rather than completely stopping during the vacation period and can come back to the normal working level once there are customers after a service completion during the vacation period, i.e., a vacation interruption happens. The service times during a service period, service times during a vacation period and vacation times are geometrically distributed. The queue is analyzed using the supplementary variable and the imbedded Markov-chain techniques. We obtain steady-state system length distributions at pre-arrival, arbitrary and outside observer's observation epochs. We also present probability generation function (p.g.f.) of actual waiting-time distribution in the system and some performance measures.
- Subjects
DISCRETE time filters; WORKING class; VACATIONS; GEOMETRIC analysis; PROBABILITY theory; CONSUMERS
- Publication
Asia-Pacific Journal of Operational Research, 2014, Vol 31, Issue 1, p-1
- ISSN
0217-5959
- Publication type
Article
- DOI
10.1142/S0217595914500031