EDP Sciences Journals List
Issue RAIRO Oper. Res.
Volume 38, Number 2, April-June 2004
Advances in modelling of complex systems
Page(s) 153 - 171
DOI 10.1051/ro:2004017

RAIRO Oper. Res. 38 (2004) 153-171
DOI: 10.1051/ro:2004017

Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

Olga V. Semenova

Laboratory of Applied Probabilistic Analysis, Faculty of Applied Mathematics and Computer Sciences, Belarus State University, 4 F. Skorina Ave., 220050 Minsk 50, Belarus; semenovaov@bsu.by.

Abstract
A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.


Key words: Negative arrivals, BMAP/SM/1 queue, Markovian arrival process of disasters, operation modes.


© EDP Sciences 2004


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.