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

S.Z. Taj*, 0**, 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

References

[1]. Gopalan, M. N., & Bhanu, K. S. (1995). Cost analysis of a two unit repairable system subject to on-line preventive maintenance and/or repair. Microelectronics Reliability, 35(2), 251-258.
[2]. Gupta, S., & Gupta, S. K. (2013). Stochastic analysis of a reliability model of one-unit system with post inspection, post repair, preventive maintenance and replacement. International Journal of Mechanical Engineering and Robotics Research, 2(2), 178-188.
[3]. Malhotra, R., & Taneja, G. (2014). Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demand. Journal of Quality and Reliability Engineering, 2014. DOI:10.1155/2014/896379
[4]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P. (2009). MTSF and availability of a two unit CC Plant. Proceedings of the International Conference on Modeling, Simulation and Applied Optimization, (pp. 1-5), American University, Sharjah, UAE.
[5]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., & Ramachandran, K. P. (2011). Reliability modelling and analysis of a two unit continuous casting plant. Journal of the Franklin Institute, 348(7), 1488-1505.
[6]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P., & Taneja, G. (2009). Optimization of a single unit CC plant with scheduled maintenance policy. Proceedings of the International Conference on Recent Advances in Material Processing Technology, (pp. 609-613), India.
[7]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P., & Taneja, G. (2009). Profit evaluation of a single unit cc plant with scheduled maintenance. Caledonian Journal of Engineering, 5(1), 25-33.
[8]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P., & Taneja, G. (2010). Reliability modeling and analysis of a two unit parallel CC plant with different installed capacities. J. Manuf. Engg, 5(3), 197-204.
[9]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P., & Taneja, G. (2010, October). Comparative Analysis between Profits of the Two Models of a CC Plant. Proceedings of the International Conference on Modeling, Optimization and Computing, National Institute of Technology, Durgapur, India, (Vol. 1298, No. 1, pp. 226-231). AIP.
[10]. Mathew, A. G., Rizwan, S. M., Majumder, M. C., Ramachandran, K. P., & Taneja, G. (2011). Reliability Analysis of Identical Two-Unit Parallel CC Plant System Operative with Full Installed Capacity. International Journal of Performability Engineering, 7(2), 179-185.
[11]. Naithani, A., Parashar, B., Bhatia, P. K., & Taneja, G. (2017). Probabilistic analysis of a 3-unit induced draft fan system with one warm standby with priority to repair of the unit in working state. International Journal of System Assurance Engineering and Management, 1-9. DOI:10.1007/s13198-017-0608-6
[12]. Niwas, R., Kadyan, M. S., & Kumar, J. (2016). MTSF (Mean Time to System Failure) and profit analysis of a single-unit system with inspection for feasibility of repair beyond warranty. International Journal of System Assurance Engineering and Management, 7(1), 198-204.
[13]. Padmavathi, N., Rizwan, S. M., Pal, A., & Taneja, G. (2012). Reliability analysis of an evaporator of a desalination plant with online repair and emergency shutdowns. Aryabhatta Journal of Mathematics and Informatics, 4(1), 1-11.
[14]. Padmavathi, N., Rizwan, S. M., Pal, A., & Taneja, G. (2013). Comparative analysis of the two models of an evaporator of a desalination plant. Proceedings of International Conference on Information and Mathematical Science, Punjab, India, 418-422.
[15]. Padmavathi, N., Rizwan, S. M., Pal, A., & Taneja, G. (2013). Probabilistic Analysis of an Evaporator of a Desalination Plant with Priority for Repair Over Maintenance, International Journal of Scientific and Statistical Computing, 4(1), 1-8.
[16]. Padmavathi, N., Rizwan, S. M., Pal, A., & Taneja, G. (2014). Probabilistic Analysis of a Desalination Plant with Major and Minor Failures and Shutdown During Winter Season. International Journal of Scientific and Statistical Computing, 5(1), 15-23.
[17]. Padmavathi, N., Rizwan, S. M., Pal, A., & Taneja, G. (2014). Probabilistic analysis of a seven unit desalination plant with minor/major failures and priority given to repair over maintenance. Aryabhatta Journal of Mathematics and Informatics, 6(1), 219-230.
[18]. Padmavathi, N., Rizwan, S. M., & Senguttuvan, A. (2015). Comparative Analysis between the Reliability Models Portraying Two Operating Conditions of a Desalination Plant, International Journal of Core Engineering and Management, 1(12), 1-10.
[19]. Ram, M., Singh, S. B., & Singh, V. V. (2013). Stochastic analysis of a standby system with waiting repair strategy. IEEE Transactions on Systems, man, and cybernetics: Systems, 43(3), 698-707.
[20]. Rizwan, S. M. (2007). Reliability analysis of a two unit system with two repairmen. Caledonian Journal of Engineering, 3(2), 1-5.
[21]. Rizwan, S. M., Chauhan, H., & Taneja, G. (2005). Stochastic analysis of systems with accident and inspection. Emirates Journal for Engineering Research, 10(2), 81-88.
[22]. Rizwan, S. M., Khurana, V., & Taneja, G. (2005). Reliability modeling of a hot standby PLC system. Proceedings of the International Conference on Communication, Computer and Power, Sultan Qaboos University, Sultanate of Oman, 486- 489.
[23]. Rizwan, S. M., Khurana, V., & Taneja, G. (2007). Modelling and Optimization of a Single-Unitplc System. International Journal of Modelling and Simulation, 27(4), 361-368.
[24]. Rizwan, S. M., Khurana, V., & Taneja, G. (2010). Reliability analysis of a hot standby industrial system. International Journal of Modelling and Simulation, 30(3), 315-322.
[25]. Rizwan, S. M., & Mathew, A. G. (2015). Performance Analysis of Port Cranes. International Journal of Core Engineering and Management, 2(1), 133-140.
[26]. Rizwan, S. M., Padmavathi, N., Pal, A., & Taneja, G. (2013). Reliability Analysis of a Seven Unit Desalination Plant with Shutdown During Winter Season and Repair/Maintenance on FCFS Basis. International Journal of Performability Engineering, 9(5), 523-528.
[27]. Rizwan, S. M., Taneja, G., & Tuteja, R. K. (2000). Comparative study between the profits of two models for a two unit system with rest period of repairman. Journal of Decision and Mathematical Sciences, 5(1-3), 27-44.
[28]. Rizwan, S. M., & Thanikal, J. V. (2014). Reliability Analysis of a Wastewater Treatment Plant with Inspection. i-manager's Journal on Mathematics, 3(2), 30-35.
[29]. Rizwan, S. M., Thanikal, J. V., Padmavathi, N., & Yazidi, H. (2015). Reliability and Availability Analysis of an Anaerobic Batch Reactor Treating Fruit and Vegetable Waste. International Journal of Applied Engineering Research, 10(24), 44075- 44079.
[30]. Rizwan, S. M., Thanikal, J. V., & Torrijos, M. (2014). A general model for reliability analysis of a domestic wastewater treatment plant. International Journal of Condition Monitoring and Diagnostic Engineering Management, 17(3), 3-6.
[31]. Sharma, U., & Kaur, J. (2016). Cost benefit analysis of a compressor standby system with preference of service, repair and replacement is given to recently failed unit. International Journal of Mathematics Trends and Technology, 30(2), 104-108.
[32]. Taj, S. Z., Rizwan, S. M., Alkali, B. M., Harrison, D. K., & Taneja, G. (2017, April). Reliability modelling and analysis of a single machine subsystem of a cable plant. 7th International Conference on Modeling, Simulation, and Applied Optimization, American University, Sharjah, UAE (pp. 1-4). IEEE.
[33]. Taj, S. Z., Rizwan, S. M., Alkali, B. M., Harrison, D. K., & Taneja, G. L. (2017). Reliability Analysis of a Single Machine Subsystem of a Cable Plant with Six Maintenance Categories. International Journal of Applied Engineering Research, 12(8), 1752-1757.
[34]. Taneja, G., Rizwan, S. M., & Kumar, R. (1992). Profit analysis of a system with perfect repair at partial failure and priority for repair to complete failed unit. Pure and Applied Mathematika Sciences, 35(1/2), 131-141.
[35]. Tuteja, R. K., Rizwan, S. M., & Taneja, G. (1999). A two server system with regular repairman who is not always available. National Symposium on Management Science and Statistics - Applications to Trade and Industry, Guru Nanak Dev University, Amritsar, India, 231-237.
[36]. Tuteja, R. K., Rizwan, S. M., & Taneja, G. (2000). Profit analysis of a system with perfect repair at partial failure or complete failure. Pure and Applied Mathematika Sciences, 52(1/2), 7-14.
[37]. Tuteja, R. K., Rizwan, S. M., & Taneja, G. (2000). Profit evaluation of a two unit cold stand by system with tiredness and two types of repairman. Journal of Indian Society of Statistics and Operation Research, 21(1-4), 1-10.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.