CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time

by K. Kirupa, K. Udaya Chandrika
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 127 - Number 10
Year of Publication: 2015
Authors: K. Kirupa, K. Udaya Chandrika
10.5120/ijca2015906529

K. Kirupa, K. Udaya Chandrika . Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time. International Journal of Computer Applications. 127, 10 ( October 2015), 38-42. DOI=10.5120/ijca2015906529

@article{ 10.5120/ijca2015906529,
author = { K. Kirupa, K. Udaya Chandrika },
title = { Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time },
journal = { International Journal of Computer Applications },
issue_date = { October 2015 },
volume = { 127 },
number = { 10 },
month = { October },
year = { 2015 },
issn = { 0975-8887 },
pages = { 38-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume127/number10/22769-2015906529/ },
doi = { 10.5120/ijca2015906529 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:19:36.168821+05:30
%A K. Kirupa
%A K. Udaya Chandrika
%T Unreliable Batch Arrival Retrial Queue with Negative Customers, Multi-Types of Heterogeneous Service, Setup Time and Reserved Time
%J International Journal of Computer Applications
%@ 0975-8887
%V 127
%N 10
%P 38-42
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Batch arrival retrial queue with positive and negative customers is considered. 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 the types immediately and others join the orbit. The server is subject to two different modes of failure. Mode 1 failure occurs due to the arrival of negative customer and Mode 2 due to random breakdown of the server. In both cases, repair starts after some random amount of time. The server failed under mode 2 continues the interrupted service or waits for the same customer after the repair completion. Generating function technique is employed to obtain joint distributions of the server state and orbit length. Expected system size, expected orbit size, availability of the server and failure frequency of the server are derived. Stochastic decomposition law is also verified.

References
  1. Aissani, A. (1988). On the M/G/1 Queueing system with Repeated Orders and Unreliable Server, Journal of Technology, Vol.6, pp.98-123.
  2. Choudhury, G. and Ke, J.C. (2012). A Batch Arrival Retrial Queue with General Retrial Times Under Bernoulli Vacation Schedule for Unreliable Server and Delayed Repair, Applied Mathematical Modelling, Vo.36, pp.255-269.
  3. Falin, G. I. (1990). A Survey of Retrial Queues, Queueing Systems, Vol.7, pp.127-169.
  4. Gelenbe, E.(1989). Random Neural Networks with Negative and Positive Signals and Product Form Solution. Neural Computation,1,502- 510.
  5. Kirupa, K. and Udaya Chandrika, K. (2014). Batch arrival Retrial G-queue and an unreliable server with delayed repair, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 3, Issue 5, May 2014.
  6. Kulkari, V.G. and Choi, B.D. (1990). Retrial Queues with Server Subject to Breakdowns and Repairs, Queueing Systems, Vol.7,No. 2, pp.191-208.
  7. Peng, Y., Liu, Z. and Wu, J. (2013). An M/G/1 Retrial G-Queue with Preemptive Resume Priority and Collisions Subject to the Server Breakdowns and Delayed Repairs, Journal of Applied Mathematical Computations, doi.10.1007/s12190-013-0688-7.
  8. Prakash Rani, K., Srinivasan, A. and Udaya Chandrika, K. (2009). Impatient Customers Bulk Arrival Retrial Queue with Server Breakdown and Delayed Repair, Advances in Applied Research, Vol.1, No.1,pp.60-68.
  9. Wang, J. and Zhang, P. (2009). A Single-Server Discrete-Time Retrial G-queue with Server Breakdowns and Repairs, Acta Mathematicae Applicatae Sinica, Vol.25, pp.675-684.
  10. Yang, T. and Templeton, J.G.C. (1987). A Survey on Retrial Queues, Queueing Systems, Vol.2, No.3, pp.201-233.
Index Terms

Computer Science
Information Sciences

Keywords

Retrial queue - negative customers - multi-types of heterogeneous service - setup time - reserved time.

Powered by PhDFocusTM