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Arya Bhatta Journal of Mathematics and Informatics
Year : 2014, Volume : 6, Issue : 2
First page : ( 313) Last page : ( 322)
Print ISSN : 0975-7139.

Comparative analysis of two stochastic models for a base transceiver system considering hardware and software interaction failures

Kapoor Sunny, Kumar Rajeev

Deptt. of Mathematics, M.D. University, Rohtak, Haryana

Online published on 10 February, 2015.

Abstract

This paper deals with comparative analysis of two stochastic models for a base transceiver system given in [5] and [6] to judge which and when one model is better than the other in terms of different measures of system performance and costs. A base transceiver system may fail or may not work satisfactorily on occurrence of some minor or major faults in its hardware and software components, catastrophic failures or calls congestion. Further in hardware and software components of the system there can be two types of hardware and software interaction failures viz. hardware based softwar failures and software based hardware failures. In the first model given in [5], only software based hardware failures are taken whereas in the model given in [6], hardware based software failures are taken apart from considering occurrence of some minor or major faults in hardware/software components, catastrophic failures and calls congestion. In these models it is assumed that the minor fault leads to partial failure or degradation state whereas a major fault and catastrophic failure leads to complete failure of the system. On failures, the available technicians first inspect whether fault is due to hardware, software or hardware and software interaction failures then recovery of the infected component is done. On the basis of computed measures of system performance, comparison of the models with respect to their mean times to failures, expected uptimes/degradation times and profits is made using graphs for some particular case and conclusions are drawn.

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Index Terms

Base Transceiver System (BTS), catastrophic failure, congestion of calls, hardware and software interaction failures reliability, mean up/degradation times, profit, Markov process, regenerative point technique.

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