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General bulk service queueing system with N-policy, multiplevacations, setup time and server breakdown without interruption
- Source :
- IOP Conference Series: Materials Science and Engineering. 263:042154
- Publication Year :
- 2017
- Publisher :
- IOP Publishing, 2017.
-
Abstract
- In this paper, we have considered an MX / (a,b) / 1 queueing system with server breakdown without interruption, multiple vacations, setup times and N-policy. After a batch of service, if the size of the queue is ξ (< a), then the server immediately takes a vacation. Upon returns from a vacation, if the queue is less than N, then the server takes another vacation. This process continues until the server finds atleast N customers in the queue. After a vacation, if the server finds at least N customers waiting for service, then the server needs a setup time to start the service. After a batch of service, if the amount of waiting customers in the queue is ξ (≥ a) then the server serves a batch of min(ξ,b) customers, where b ≥ a. We derived the probability generating function of queue length at arbitrary time epoch. Further, we obtained some important performance measures.
- Subjects :
- Service (business)
021103 operations research
Computer science
Epoch (reference date)
business.industry
InformationSystems_INFORMATIONSYSTEMSAPPLICATIONS
020209 energy
0211 other engineering and technologies
Process (computing)
02 engineering and technology
Queueing system
0202 electrical engineering, electronic engineering, information engineering
business
Queue
Computer network
Subjects
Details
- ISSN :
- 1757899X and 17578981
- Volume :
- 263
- Database :
- OpenAIRE
- Journal :
- IOP Conference Series: Materials Science and Engineering
- Accession number :
- edsair.doi...........d9ea085bb7fccfe86ecec909f408d2dd