Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2750

Full Length Research Paper

Analysis of a tandem queue with heterogeneous servers subject to catastrophes

H. Okan Isguder1* and Cansin Kaya2
1Department of Statistics, Faculty of Science, Dokuz Eylul University, 35160, Izmir, Turkey. 2Department of Statistics, Faculty of Arts and Sciences, Mimar Sinan F. A. University, 34380, Istanbul, Turkey.
Email: [email protected]

  •  Accepted: 26 November 2012
  •  Published: 03 December 2012

Abstract

This study analyzed a tandem queueing system with blocking and no waiting line. The arrival process is assumed to be Poisson with rate. There are two non-identical servers in the system. The service times are exponentially distributed with parameters and  at servers 1 and 2, respectively. Besides, the catastrophes occur in a Poisson manner with rate  in the system. When server 1 is busy or blocked, the customer who arrives in the system leaves the system without being served. Such customers are called “lost customers”. The probability of losing a customer was computed for the system.

 

Key words: Tandem queueing, heterogeneous servers, catastrophes, loss probability.