A study on M/G/1 feedback retrial queue with subject to server breakdown and repair under multiple working vacation policy

P. Rajadurai · M.C. Saravanarajan · V.M. Chandrasekaran

56 citations0/0 files storedAlexandria Engineering Journal

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Age of Information Optimization

Abstract

In this paper, we consider a single server feedback retrial queueing system with multiple working vacations and vacation interruption. An arriving customer may balk the system at some particular times. As soon as orbit becomes empty at regular service completion instant, the server goes for a working vacation. The server works at a lower service rate during working vacation (WV) period. After completion of regular service, the unsatisfied customer may rejoin into the orbit to get another service as feedback customer. The normal busy server may get to breakdown and the service channel will fail for a short interval of time. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Some important system performance measures are obtained. Finally, some numerical examples and cost optimization analysis are presented.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 56 citations exist upstream.

References

2008Retrial Queueing Systems 2002M/M/1 queues with working vacations (M/M/1/WV)2005M/G/1 queue with multiple working vacations 2005Optimal design and control of queues 2007The M/M/1 queue with working vacations and vacation interruptions 1999Stochastic analysis of a single server retrial queue with general retrial times 2015Cost-minimization analysis of a working vacation queue with N-policy and server breakdowns 2009Modified vacation policy for M/G/1 retrial queue with balking and feedback

Cited by

2022A multi-station unreliable machine model with working vacation policy and customers’ impatience 2018An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption 2022Analysis of an M/G/1 Retrial Queue with Delayed Repair and Feedback under Working Vacation policy with Impatient Customers 2021Cost Analysis and Optimization of Machine Repair Model with Working Vacation and Feedback–Policy 2017Sensitivity analysis of an M/G/1 retrial queueing system with disaster under working vacations and working breakdowns

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.