Probabilistic Modeling And Analysis of A Cable Plant Subsystem With Priority To Repair Over Preventive Maintenance

Volume 6 Issue 3 July - September 2017

Research Paper

Probabilistic Modeling And Analysis of A Cable Plant Subsystem With Priority To Repair Over Preventive Maintenance

S.Z. Taj*, Syed Mohd Rizwan**, B.M. Alkali***, D.K. Harrison****, G. Taneja*****

* Lecturer, Department of Mathematics & Statistics, Caledonian College of Engineering, Sultanate of Oman.

** Professor and Head, Department of Mathematics & Statistics, Caledonian College of Engineering, Sultanate of Oman.

*** Assistant Head, Department of Mechanical Engineering, Glasgow Caledonian University, UK.

**** Professor, Department of Mechanical Engineering, Glasgow Caledonian University, UK.

***** Professor, Department of Mathematics, Maharshi Dayanand University, Haryana, India.

Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., and Taneja, G. (2017). Probabilistic Modeling and Analysis of A Cable Plant Subsystem with Priority to Repair Over Preventive Maintenance. i-manager’s Journal on Mathematics, 6(3), 12-21.https://doi.org/10.26634/jmat.6.3.13649

Abstract

The paper presents probabilistic modeling and analysis of a cable plant subsystem with two identical machines operating in parallel. Seven year's failure data of the cable plant depicts three types of maintenances for the subsystem: repair, minor preventive maintenance and major preventive maintenance. The subsystem undergoes repair upon failure while minor and major preventive maintenance is performed as per schedule. Priority is given to repair over preventive maintenance. Mean time to failure, availability, expected busy period and expected number of repairs have been estimated by analyzing the subsystem using semi Markov process and regenerative point technique. Graphs have been established to demonstrate simulated results.