BMAP Two Phase Retrial Queue with Feedback
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064

Research Paper | Mathematics | India | Volume 6 Issue 12, December 2017

BMAP Two Phase Retrial Queue with Feedback

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani

This paper is concerned with the analysis of a single server batch arrival retrial queue with general retrial times. The server provides two phases of service essential and optional. A customer after receiving essential service may leave the system or rejoin the orbit and begin requesting service again. The model for the system is derived and the joint distribution of the server state and the orbit length in steady state is obtained. Numerical examples are presented to illustrate the effect of the parameters on several performance measures.

Keywords: Retrial queues, batch arrival, probability generating function, steady state, feedback

Edition: Volume 6 Issue 12, December 2017

Pages: 1921 - 1924

Share this Article

How to Cite this Article?

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani, "BMAP Two Phase Retrial Queue with Feedback", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20179214, Volume 6 Issue 12, December 2017, 1921 - 1924

102 PDF Views | 98 PDF Downloads

Download Article PDF



Similar Articles with Keyword 'batch arrival'

Research Paper, Mathematics, Morocco, Volume 3 Issue 5, May 2014

Pages: 777 - 783

Performance Modeling for a Cloud Computing Center Using GE/G/m/k Queuing System

Mohamed Ben el aattar, Abdlkrim Haqiq

Share this Article

Research Paper, Mathematics, India, Volume 6 Issue 12, December 2017

Pages: 1921 - 1924

BMAP Two Phase Retrial Queue with Feedback

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 1947 - 1950

Analysis of Batch Arrival Queue with Second Optional and Repair Under Optional Vacation, Balking

R. Vimaladevi

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 1877 - 1881

A Batch Arrival Feedback Queue with M-Optional Service and Multiple Vacations Subject To Random Breakdown

S. Suganya

Share this Article

Research Paper, Mathematics, India, Volume 4 Issue 9, September 2015

Pages: 575 - 581

MX/G/1 Queue with Negative Arrival and Breakdown

M. I. Afthab Begum, P. Fijy Jose, S. Bama

Share this Article

Similar Articles with Keyword 'probability generating function'

Research Paper, Mathematics, Nigeria, Volume 6 Issue 12, December 2017

Pages: 1090 - 1094

Stochastic Differential Equation on Extinction Probability

Agba M. E, Ugbebor O. O.

Share this Article

Research Paper, Mathematics, India, Volume 6 Issue 12, December 2017

Pages: 1921 - 1924

BMAP Two Phase Retrial Queue with Feedback

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 1947 - 1950

Analysis of Batch Arrival Queue with Second Optional and Repair Under Optional Vacation, Balking

R. Vimaladevi

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 1877 - 1881

A Batch Arrival Feedback Queue with M-Optional Service and Multiple Vacations Subject To Random Breakdown

S. Suganya

Share this Article

Research Paper, Mathematics, India, Volume 4 Issue 9, September 2015

Pages: 575 - 581

MX/G/1 Queue with Negative Arrival and Breakdown

M. I. Afthab Begum, P. Fijy Jose, S. Bama

Share this Article

Similar Articles with Keyword 'steady state'

Research Paper, Mathematics, Botswana, Volume 10 Issue 1, January 2021

Pages: 919 - 936

Mathematical Analysis of a Model with HIV-1 Mutation in the Midst of a Cellular Immune Response

Obias Chimbola Mulenga

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 7, July 2014

Pages: 518 - 523

Finite Volume Numerical Grid Technique for Multidimensional Problems

J.S.V.R. Krishna Prasad, Parag V. Patil

Share this Article

Research Paper, Mathematics, India, Volume 6 Issue 4, April 2017

Pages: 1317 - 1321

A Finite Capacity Single Server Markovian Queueing System with Discouraged Arrivals and Retention of Reneged Customers with Controllable Arrival Rates

Premalatha.S, Thiagarajan.M

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 2526 - 2527

A Comparison of Potential Infinity and Actual Infinity

Thresiamma N.J

Share this Article

Research Paper, Mathematics, India, Volume 4 Issue 9, September 2015

Pages: 1512 - 1515

Wavelet based Approximation Method to Steady State Reaction-Diffusion Model in Biosensor Enzymes

Sasikumar.S, Gunasekaran.M, Sripathy.B

Share this Article

Similar Articles with Keyword 'feedback'

Research Paper, Mathematics, India, Volume 6 Issue 12, December 2017

Pages: 1921 - 1924

BMAP Two Phase Retrial Queue with Feedback

K. Prakash Rani, K. Udaya Chandrika, U. Elayarani

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 11, November 2014

Pages: 1877 - 1881

A Batch Arrival Feedback Queue with M-Optional Service and Multiple Vacations Subject To Random Breakdown

S. Suganya

Share this Article

Research Paper, Mathematics, China, Volume 8 Issue 7, July 2019

Pages: 1859 - 1865

Stability of Stochastic Delay Logistic Model Incorporating Ornstein-Uhlenbeck Process

Tawfiqullah Ayoubi

Share this Article

Research Paper, Mathematics, India, Volume 5 Issue 2, February 2016

Pages: 405 - 408

M/D/1 Feedback Queueing Models with Retention of Reneged Customers

Dr. S. K. Tiwari, Dr. V. K. Gupta, Tabi Nandan Joshi

Share this Article
Top