Call for Paper

CAE solicits original research papers for the July 2023 Edition. Last date of manuscript submission is June 30, 2023.

Read More

Batch Arrival Retrial Queue with Negative Customers, Multi-optional Service and Feedback

K. Kirupa, K. Udaya Chandrika. Published in Applied Mathematics.

Communications on Applied Electronics
Year of Publication: 2015
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: K. Kirupa, K. Udaya Chandrika
10.5120/cae2015651707

K Kirupa and Udaya K Chandrika. Article: Batch Arrival Retrial Queue with Negative Customers, Multi-optional Service and Feedback. Communications on Applied Electronics 2(4):14-18, July 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {K. Kirupa and K. Udaya Chandrika},
	title = {Article: Batch Arrival Retrial Queue with Negative Customers, Multi-optional Service and Feedback},
	journal = {Communications on Applied Electronics},
	year = {2015},
	volume = {2},
	number = {4},
	pages = {14-18},
	month = {July},
	note = {Published by Foundation of Computer Science (FCS), NY, USA}
}

Abstract

This paper deals with single server retrial queueing model where in addition to regular arriving customers there are negative arrivals. Server provides M types of service. Positive customers arrive in batches according to Poisson process. If the server is idle upon the arrival of a batch, one of the customers in the batch receives any one of the types immediately and the rest join the orbit. Otherwise, the arriving batch joins the orbit. After completion of service, the customer may join the orbit as a feedback customer or depart the system. Negative arrival has the effect of removing the customer in service from the system. Performance analyses are obtained using supplementary variable technique. Stochastic decomposition law is verified and numerical results are also discussed.

References

  1. Baruah,M., Kailash C. Madan and Eldabi, T. 2012. On M[X] / (G1,G2) / 1 queue with optional re–service, Applied Mathematical Computation.
  2. Gelenbe, E. 1989. Random Neural Networks with Negative and Positive Signals and Product Form Solution. Neural Computation 1 , 502-510.
  3. Krishnakumar, B., Vijayalaksmi, G., Krishnamoorthy, A. and Sadiq Basha, S. 2010. A Single Server Feedback Retrial Queue with Collisions, Computers and Operations Research, Vol. 37, No. 7,1247 – 1255.
  4. Lee,Y.W. and Jang,Y.H. 2009. The M / G / 1 Feedback Retrial Queue with Bernoulli Schedule,Journal of Applied Mathematics and Informatics, Vol.27, No. 1-2, 259-266.
  5. Liu, Z., Wu, J. and Yang, G. .2009., An M/G/1 Retrial G – queue with Preemptive Resume And Feedback under N-policy Subject to Server Breakdowns and Repairs, Computers and Mathematics with Applications, 58, 1792-1807.
  6. Mokaddis, G.S., Metwally, S.A. and Zaki,B. M. 2007. A Feedback Retrial Queueing System with Starting Failures And Single Vacation, Tamkang Journal of Science and Engineering, Vol. 10, No.3, 183-192.
  7. Ramanath, K. and Lakshmi,K. (2011), An M / G / 1 Two Phase Multi - Optional Retrial Queue with Bernoulli Feedback and Non - Persistent Customers, International Journal of Latest Trends in Software Engineering, Vol.1, No.1,1-9
  8. Rajadurai, P. Saravanarajan, M. C. and Chandrasekaran, V. M. 2014. Analysis of an M[x] / (G1,G2) / 1 Retrial queueing system with balking, optional re-service under modified vacation policy and service interruption, Ain Shams Engineering Journal, dx.doi.org/10.1016/j.asej.2014.02.00.3.

Keywords

Retrial queue, negative customers, multi-optional service-feedback