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

S.Z. Taj*, Syed Mohammed 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.
Periodicity:July - September'2017
DOI : 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.

Keywords

Cable Plant, Failure, Repair, Minor/Major Scheduled Preventive Maintenance, Probabilistic Modeling, Semi Markov Process, Regenerative Process

How to Cite this Article?

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

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