Journal of Mathematics and Statistics

ECONOMIC AND PERFORMANCE EVALUATION OF STOCHASTIC MODEL ON A BASE TRANSCEIVER SYSTEM CONSIDERING VARIOUS OPERATIONAL MODES AND CATASTROPHIC FAILURES

Rajeev Kumar and Sunny Kapoor

DOI : 10.3844/jmssp.2013.198.207

Journal of Mathematics and Statistics

Volume 9, Issue 3

Pages 198-207

Abstract

In this study a stochastic model for a Base Transceiver System (BTS) is proposed that consists of various hardware and software components. A Base Transceiver System (BTS) may undergoes four modes during its operation viz normal, congestion, down and failure mode. The hardware and software components may have various types of major and minor faults. The occurrence of a minor fault leads to partial failure whereas a major fault and catastrophic failure leads to complete failure of the system. That may have various types of faults including major and minor faults. The aspect that a failure in hardware component, sometimes, leads to software failure in the system is also incorporated. On failure, the technicians first inspect whether there is hardware or software or hardware based software failure then recovery of the relevant component is done. Using Markov processes and regenerative point technique various measures of system performance are obtained. On the basis of these measures the profit analysis of the system is carried out. Various conclusions about reliability, performance and profit of the system are made on the basis of the graphical studies.

Copyright

© 2013 Rajeev Kumar and Sunny Kapoor. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.