Cost Analysis for a Telecommunication System with Standby Transmitter


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Authors

  • Neelam Yadav Department of Mathematics, L.S.Raheja College of Arts and Commerce, Santacruz (W), Mumbai, Maharastra, India
  • Amit Kumar Department of Mathematics, Dyal Singh College, University of Delhi, Delhi, India

Keywords:

Reliability function, Supplementary variables, Perfect Switching, Standby redundancy, Availability and cost function

Abstract

This paper deals with the Cost analysis for telecommunication system with standby transmitter. The failure and repair rates of the subsystems follow the exponential distribution. One Standby control unit has been taken to improve system performance. Supplementary variables techniques have been used for mathematical formulation of the model. The steady state availability expression has been derived using normalizing conditions. Laplace transform is being utilized to solve the mathematical equations. Some particular cases and asymptotic behavior of the system have also been derived to improve the practical utility of the model. Cost function and availability of the system have been computed. The findings of the present paper will be highly useful to the telecommunication system to enhance system performance.

 

Author Biographies

Neelam Yadav, Department of Mathematics, L.S.Raheja College of Arts and Commerce, Santacruz (W), Mumbai, Maharastra, India

 

 

Amit Kumar, Department of Mathematics, Dyal Singh College, University of Delhi, Delhi, India

 

 

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Published

15-09-2016

How to Cite

Neelam Yadav, & Amit Kumar. (2016). Cost Analysis for a Telecommunication System with Standby Transmitter. International Journal of Mathematics And Its Applications, 4(3 - B), 17–25. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/989

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Section

Research Article