Stochastic Analysis of A Two-Identical Unit Cold Standby System with Maximum Repair Time and Correlated Busy and Idle Times of the Operator Cum Repairman

Authors

  • Aquil Ahmad Department of Statistics, Lucknow University, Lucknow 226 007, India
  • Lakhan Singh Department of Statistics, Lucknow University, Lucknow 226 007, India

DOI:

https://doi.org/10.26713/jims.v1i2%20&%203.18

Keywords:

Stochastic Analysis

Abstract

This paper is considered with modelling and analysis of a two identical unit standby system with the concept of
rest of the operator cum repairman. Here, the concept of correlation between busy time and idle time of the
operator cum repairman is considered which is not, generally, seen in the literature. If the repairman is not
able to repair a failed unit within a specified time limit (pre fixed) then the failed unit is replaced by a replacement facility. The different measures of economic importance are obtained by using regenerative point technique. The MTSF and profit function have also been studied through
graphs in respect of various parameters in a particular case when repair time distribution is taken as exponential.

Downloads

Download data is not yet available.

Downloads

CITATION

How to Cite

Ahmad, A., & Singh, L. (2009). Stochastic Analysis of A Two-Identical Unit Cold Standby System with Maximum Repair Time and Correlated Busy and Idle Times of the Operator Cum Repairman. Journal of Informatics and Mathematical Sciences, 1(2 & 3), 147–155. https://doi.org/10.26713/jims.v1i2 & 3.18

Issue

Vol. 1 No. 2 & 3 (2009)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.