Cost-Effectiveness Analysis of a System of Distinguishable Subsystems with Repair Preference and Weather Conditions

Authors

  • Lalit Kumar Department of Statistics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida – 201313, India
  • D. Pawar Department of Statistics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida – 201313, India
  • Kailash Kumar Department of Statistics, LSR College for Women, University of Delhi, New Delhi – 110024, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1724

Keywords:

Reliability, inspection, activation, semi-markov, weather, minor repair, major repair

Abstract

Cost-effectiveness analysis of a reliability model of two distinguishable electricity resources is done in this paper. Subsystem-A is taken as the primary, whereas subsystem-B is taken as the secondary source of electricity. Subsystem-A has three modes – operation, repair, and activation, and subsystem-B has four modes – operation, inspection, minor repair, and major repair. Availability of a full-time technician is considered to perform all repair and activation activities. The technician initiates the repair of subsystem-A immediately whenever required, whereas inspection is carried out for subsystem-B to identify the type of repair required. Normal and abnormal weather conditions are considered to study the impact of weather conditions on repair and activation activities. Only subsystem-A needs activation after repair, and no repair/activation is carried out in abnormal weather, while weather conditions do not affect inspection or repair activities of subsystem-B. Failure and repair rates of both the subsystems are exponentially distributed, whereas a general distribution is taken for the operation rate of subsystem-A. Various reliability components like Mean Time to System Failure (MTSF), steady-state availability, busy period of the server, and profit of the system model are evaluated using the semi-Markov process. Random values are taken to show the impact of increasing failure rate of subsystem-A and rate of change of weather condition from normal to abnormal on MTSF and the cost-benefit of the system model. Graphs are drawn for MTSF and profit of the system model, which clearly indicates that MTSF and profit of the system model are higher for a lesser rate of change in weather conditions.

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Author Biographies

Lalit Kumar, Department of Statistics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida – 201313, India

Lalit Kumar received his bachelor’s degree in Statistics from University of Delhi in 2009, M.Sc. degree in Statistics from CCS University in 2012, and now he is pursuing his Doctor of Philosophy degree in Statistics from Amity University Uttar Pradesh, Noida. He is currently working as an Assistant Professor at the Department of Statistics, Ramjas College, University of Delhi. His research areas include reliability modeling and analysis.

D. Pawar, Department of Statistics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida – 201313, India

D. Pawar received the bachelor’s degree in Statistics from M.D. University in 1998, M.Sc. degree in mathematical Statistics from M.D. University in 2000, M. Phil. degree in Statistics from M.D. University in 2002, and Ph.D. degree in Statistics from M.D. University in 2010. He is currently working as a Professor at the Department of Statistics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida. His research areas include reliability modeling and analysis, and optimizations techniques. He has been serving as a reviewer for many highly reputed journals.

Kailash Kumar, Department of Statistics, LSR College for Women, University of Delhi, New Delhi – 110024, India

Kailash Kumar received his bachelor’s degree in Statistics from CCS University in 2002, M.Sc. degree in Statistics from CCS University in 2004, M.Phil. degree in Statistics from CCS University in 2005, and the Doctor of Philosophy degree in Statistics from CCS University in 2008. He is currently working as an Associate Professor at the Department of Statistics, Lady Shri Ram College for Women, University of Delhi. His research areas include reliability theory, and applied Statistics. He has been serving as a reviewer for many highly reputed journals.

References

Chachra, A., Kumar, A. and Ram, A., (2023): Intuitionistic fuzzy approach to reliability assessment of multi-state systems. Mathematics and Computers in Simulation, Vol. 212(C), 489–503.

Ghosh, Jyotishree, Pawar, D. and Malik, S.C. (2023): Performance analysis of a non-identical units system with inspection and operational priority. International Journal of Agricultural and Statistical Sciences, Vol. 19(Supplement 1), pp. 1169–1177.

Goel, L.R., Kumar, A. and Rastogi, A.K. (1985): Stochastic behaviour of man-machine systems operating under different weather conditions. Microelectronics Reliability, Vol. 25(1), pp. 87–91.

Goel, L.R., Sharma, G.C. and Gupta, P. (1986): Reliability analysis of a system with preventive maintenance, inspection and two types of repairs. Microelectronics Reliability, Vol. 26(3), pp. 429–433.

Gupta, R., Ramkishan and Goel, R. (1997): Analysis of a system having super-priority, priority and ordinary units with arbitrary distributions. Microelectronics Reliability, Vol. 37(5), pp. 851–856.

Kumar, A., Pawar, D. and Malik, S.C. (2019): Profit analysis of a warm standby non-identical unit system with single server performing in normal/abnormal environment. Life Cycle Reliability and Safety Engineering, Vol. 8(3), pp. 219–226.

Kumar, Lalit, Pawar, D. and Kumar, Kailash (2022): Cost-effectiveness analysis of a complex system with diverse repair policies under normal weather conditions. European Chemical Bulletin, Vol. 11(10), pp. 702–710.

Malik, S.C., Kadyan, M.S. and Grewal, A.S. (2004): Stochastic analysis of non-identical units reliability model with priority and different modes of failure. Journal of Decision and Mathematical Sciences, Vol. 9(1–3), pp. 59–82.

Malik, S.C., Raj, M., Thakur, R. (2023): Weighted correlation coefficient measure for intuitionistic fuzzy set based on cosine entropy measure. Springer, Vol. 15, pp. 3449–3461.

Murari, K. and Goyal, V. (1983): Reliability of a system with two types of repair facility. Microelectronics Reliability, Vol. 23(6), pp. 1015–1025.

Pawar, D., Malik, S.C. and Bahl, S. (2010A): Steady state analysis of an operating system with repair at different levels of damages subject to inspection and weather conditions. International Journal of Agricultural and Statistical Sciences, Vol. 6(1), pp. 225–234.

Pawar, D., Malik, S.C. and Kumar, Jitender (2010B): Analysis of a system working under different weather conditions with on-line repair and random appearance of the server at partial failure stage. International Journal of Statistics and Systems, Vol. 5(4), pp. 485–496.

Pawar, D., Malik, S.C. and Reetu (2013): Weathering server system operations. Indian Journal of Science and Technology, Vol. 6(10), pp. 5325–5330.

Ram, M., Negi, G., Goyal, N., Kumar, A., (2022): Analysis of a Stochastic Model with Rework system. Journal of Reliability and Statistical Studies, 15(2), 553–582.

Rander, M.C., Kumar, Ashok and Tuteja, R.K. (1992): A two-unit cold standby system with major and minor failures and preparation time in the case of major failure. Microelectronics Reliability, Vol. 32(9), pp. 1199–1204.

Rathee, Reetu, Pawar, D. and Malik, S.C. (2018): Reliability modeling and analysis of a parallel unit system with priority to repair over replacement subject to maximum operation and repair times. International Journal of Trend in Scientific Research and Development, Vol. 2(5), pp. 350–358.

Sehgal, Archana (2000): Study of some reliability models with partial failure, accidents and various types of repair. PhD Thesis, Department of Statistics, M.D. University, Rohtak, India.

Siwach, B.S., Singh, R.P., and Taneja, G. (2001): Reliability and profit evaluation of a two-unit cold standby system with instructions and accidents. Pure and Applied Mathematika Sciences, Vol. 53(1–2), pp. 23–31.

Taneja, G. and Naveen, V. (2003): Comparative study of two reliability models with patience time and chances of non-availability of an expert repairman. Pure and Applied Mathematika Sciences, Vol. 52(1–2), pp. 23–35.

Tuteja, R.K. and Taneja, Gulshan (1991): Cost-benefit analysis of a two-server, two-unit, warm standby system with different types of failure. Microelectronics Reliability, Vol. 32(10), pp. 1353–1359.

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Published

2024-12-19

How to Cite

Kumar, L. ., Pawar, D. ., & Kumar, K. . (2024). Cost-Effectiveness Analysis of a System of Distinguishable Subsystems with Repair Preference and Weather Conditions. Journal of Reliability and Statistical Studies, 17(02), 333–350. https://doi.org/10.13052/jrss0974-8024.1724

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