4
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Optimal Hysteresis Control for BMAP/SM/1 Queue with MAP-Input of Disasters

Pages 395-405 | Received 01 Oct 2005, Accepted 01 May 2006, Published online: 09 Feb 2016
 

Abstract

A BMAP/SM/1 queueing system with two modes of operation is considered. Operational mode is changed according to a hysteresis strategy. The system has input of disasters causing all customers to leave the system unserved. The stationary state distribution of the embedded Markov chain and performance characteristics are obtained. The problem of hysteresis control optimization is solved numerically.

Additional information

Notes on contributors

Olga V. Semenova

Olga V. Semenova

Junior Research Fellow of the Laboratory of Applied Probabilistic Analysis in Belarusian State University. Her research interests are in the area of queues (controlled queues, queues with disasters and negative customers), polling systems and their applications in wireless networks. Her publications have appeared in the queueing and wireless network literature.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.