Cost Optimization and Reliability Parameter Extraction of a Complex Engineering System

Authors

  • Anuj Kumar Department of Mathematics, University of Petroleum and Energy Studies, Dehradun, India
  • Sangeeta Pant School of Engineering and Computing, Dev Bhoomi Uttarakhand University, Dehradun, India
  • Mangey Ram Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1615

Keywords:

Reliability, Cost, Optimization, Metaheuristics, Heat Removal System (HRS), Nuclear Power Generation Plants (NPGPs), Weighted-Sum Method (WSM)

Abstract

Nowadays, the transformation of the various energy system is the core objective of the dedicated sustainable development goal related to energy sustainable world within the new United Nations development agenda. Different nuclear regulatory authorities around the globe, sets Technical Specifications (TSs) for ensuring the human and environmental safety of various highly volatile and complex Nuclear Power Generation Plants (NPGPs). TSs define numerous measures and limitations related to safety and sustainability that must be followed by all NPGPs around the world. Reliability, availability and cost components associated with a NPGPs form important bases for the setting of TSs. In this work, a framework based on few recent metaheuristics like Cuckoo Search Algorithm (CSA), Grey Wolf Optimizer (GWO), Hybrid PSO GWO algorithm (HPSOGWO) has been presented for cost optimization and reliability parameter extraction of a complex engineering system named Heat Removal System (HRS) of a nuclear power generation plant safety system (NPGPSS). A multi-criteria decision-making (MCDM) method named Weighted-Sum Method (WSM) has also been employed for prioritizing the available metaheuristics based on available beneficial and non-beneficial criteria’s.

Downloads

Download data is not yet available.

Author Biographies

Anuj Kumar, Department of Mathematics, University of Petroleum and Energy Studies, Dehradun, India

Anuj Kumar received his Master’s and doctorate degree in Mathematics from G. B. Pant University of Agriculture and Technology, Pantnagar, India. Currently, he is working as an Associate Professor of Mathematics at University of Petroleum and Energy Studies, Dehradun, India. His current area of interest is reliability analysis, nature-inspired optimization and Multi-criteria decision-making (MCDM). He has published more than 50 research articles in journals of national/international repute and authored/edited 03 books in his area of interest. In addition, he is instrumental in various other research related activities like editing/reviewing for various reputed journals, organizing/participating in conferences.

Sangeeta Pant, School of Engineering and Computing, Dev Bhoomi Uttarakhand University, Dehradun, India

Sangeeta Pant received her Ph.D. degree with major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India in year 2011. She has been working as an Associate Professor in School of Engineering and Computing at Dev Bhoomi Uttarakhand University, Dehradun. Prior to it she was associated with University of Petroleum and Energy Studies, Dehradun, India. She taught several core courses in pure and applied mathematics at undergraduate and postgraduate levels. Her current area of interest is nature-inspired optimization techniques and Multi-criteria decision-making (MCDM). She has published more than 40 research articles in journals of national/international repute and authored/edited 03 books in his area of interest.

Mangey Ram, Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun, India

Mangey Ram received the Ph.D. degree major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India in 2008. He has been a Faculty Member for around thirteen years and has taught several core courses in pure and applied mathematics at undergraduate, postgraduate, and doctorate levels. He is currently the Research Professor at Graphic Era (Deemed to be University), Dehradun, India & Visiting Professor at Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia. Before joining the Graphic Era, he was a Deputy Manager (Probationary Officer) with Syndicate Bank for a short period. He is Editor-in-Chief of International Journal of Mathematical, Engineering and Management Sciences; Journal of Reliability and Statistical Studies; Journal of Graphic Era University; Series Editor of six Book Series with Elsevier, CRC Press-A Taylor and Frances Group, Walter De Gruyter Publisher Germany, River Publisher and the Guest Editor & Associate Editor with various journals. He has published 300 plus publications (journal articles/books/book chapters/conference articles) in IEEE, Taylor & Francis, Springer Nature, Elsevier, Emerald, World Scientific and many other national and international journals and conferences. Also, he has published more than 55 books (authored/edited) with international publishers like Elsevier, Springer Nature, CRC Press-A Taylor and Frances Group, Walter De Gruyter Publisher Germany, River Publisher. His fields of research are reliability theory and applied mathematics. Dr. Ram is a Senior Member of the IEEE, Senior Life Member of Operational Research Society of India, Society for Reliability Engineering, Quality and Operations Management in India, Indian Society of Industrial and Applied Mathematics, He has been a member of the organizing committee of a number of international and national conferences, seminars, and workshops. He has been conferred with “Young Scientist Award” by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009. He has been awarded the “Best Faculty Award” in 2011; “Research Excellence Award” in 2015; “Outstanding Researcher Award” in 2018 for his significant contribution in academics and research at Graphic Era Deemed to be University, Dehradun, India. Recently, he has been received the “Excellence in Research of the Year-2021 Award” by the Honourable Chief Minister of Uttarakhand State, India.

References

Adamantiades, A., and Kessides, I. (2009). Nuclear power for sustainable development: current status and future prospects. Energy Policy, 37(12), 5149–5166.

Caruso, M. A., Cheok, M. C., Cunningham, M. A., Holahan, G. M., King, T. L., Parry, G. W., and Thadani, A. C. (1999). An approach for using risk assessment in risk-informed decisions on plant-specific changes to the licensing basis. Reliability Engineering & System Safety, 63(3), 231–242.

Cho, N. Z., Papazoglou, I. A., and Bari, R. A. (1987). Multiobjective programming approach to reliability allocation for nuclear power plants. Nuclear Science and Engineering, 95(3), 165–188.

Marseguerra, M., Zio, E., and Podofillini, L. (2004). A multiobjective genetic algorithm approach to the optimization of the technical specifications of a nuclear safety system. Reliability Engineering & System Safety, 84(1), 87–99.

Papazoglou, I. A. (2000). Risk-informed assessment of the technical specifications of PWR RPS instrumentation. Nuclear technology, 130(3), 329–350.

Kumar, A., Pant, S., and Ram, M. (2019). Gray wolf optimizer approach to the reliability-cost optimization of residual heat removal system of a nuclear power plant safety system. Quality and Reliability Engineering International, 35(7), 2228–2239.

Kumar, A., Ram, M., Pant, S., and Kumar, A. (2018). Industrial system performance under multistate failures with standby mode. In Modeling and Simulation in Industrial Engineering (pp. 85–100). Springer, Cham.

Zafiropoulos, E. P., and Dialynas, E. N. (2007). Methodology for the optimal component selection of electronic devices under reliability and cost constraints. Quality and Reliability Engineering International, 23(8), 885–897.

Salazar, D., Rocco, C. M., and Galván, B. J. (2006). Optimization of constrained multiple-objective reliability problems using evolutionary algorithms. Reliability Engineering & System Safety, 91(9), 1057–1070.

Uniyal, N., Pant, S., and Kumar, A. (2020). An overview of few nature inspired optimization techniques and its reliability applications. International Journal of Mathematical, Engineering and Management Sciences, 5(4), 732.

Chaube, S., Singh, S. B., Pant, S., and Kumar, A. (2018). Time-dependent conflicting bifuzzy set and its applications in reliability evaluation. Advanced Mathematical Techniques in Engineering Sciences, 111–128.

Shelokar, P. S., Jayaraman, V. K., and Kulkarni, B. D. (2002). Ant algorithm for single and multiobjective reliability optimization problems. Quality and Reliability Engineering International, 18(6), 497–514.

Ramírez-Rosado, I. J., and Bernal-Agustín, J. L. (2001). Reliability and costs optimization for distribution networks expansion using an evolutionary algorithm. IEEE Transactions on Power Systems, 16(1), 111–118.

Kumar, A., Pant, S., and Ram, M. (2017). System reliability optimization using gray wolf optimizer algorithm. Quality and Reliability Engineering International, 33(7), 1327–1335.

Pant, S., Kumar, A., Kishor, A., Anand, D., and Singh, S. B. (2015, September). Application of a multi-objective particle article swarm optimization technique to solve reliability optimization problem. In 2015 1st International Conference on Next Generation Computing Technologies (NGCT) (pp. 1004–1007). IEEE.

Bansal, J. C., Singh, P. K., Saraswat, M., Verma, A., Jadon, S. S., and Abraham, A. (2011, October). Inertia weight strategies in particle swarm optimization. In 2011 Third world congress on nature and biologically inspired computing (pp. 633–640). IEEE.

Bansal, J. C., Singh, P. K., and Pal, N. R. (Eds.). (2019). Evolutionary and swarm intelligence algorithms (Vol. 779). Cham: Springer.

Wolpert, D. H., and Macready, W. G. (1997). No free lunch theorems for optimization. IEEE transactions on evolutionary computation, 1(1), 67–82.

Yang, X. S., and Deb, S. (2009, December). Cuckoo search via Lévy flights. In 2009 World congress on nature & biologically inspired computing (NaBIC) (pp. 210–214). IEEE.

Yang, X. S., and Deb, S. (2014). Cuckoo search: recent advances and applications. Neural Computing and applications, 24(1), 169–174.

Kumar, A., Pant, S., and Singh, S. B. (2017). Reliability optimization of complex systems using cuckoo search algorithm. In Mathematical Concepts and Applications in Mechanical Engineering and Mechatronics (pp. 94–110). IGI global.

Mirjalili, S., Mirjalili, S. M., and Lewis, A. (2014). Grey wolf optimizer. Advances in engineering software, 69, 46–61.

Kumar, A., Negi, G., Pant, S., Ram, M., and Dimri, S. C. (2021). Availability-Cost Optimization of Butter Oil Processing System by Using Nature Inspired Optimization Algorithms. Reliability: Theory & Applications, (SI 2 (64)), 188–200.

Eiben, A. E., and Schippers, C. A. (1998). On evolutionary exploration and exploitation. Fundamenta Informaticae, 35(1–4), 35–50.

Singh, N., and Singh, S. B. (2017). Hybrid algorithm of particle swarm optimization and grey wolf optimizer for improving convergence performance. Journal of Applied Mathematics, 2017.

Negi, G., Kumar, A., Pant, S., and Ram, M. (2021). Optimization of complex system reliability using hybrid grey wolf optimizer. Decision Making: Applications in Management and Engineering, 4(2), 241–256.

Pant, S., Kumar, A., Ram, M., Klochkov, Y., and Sharma, H. K. (2022). Consistency Indices in Analytic Hierarchy Process: A Review. Mathematics, 10(8), 1206.

Tunas Bangsa Pematangsiantar, S. T. I. K. O. M. (2017). Comparison of weighted sum model and multi attribute decision making weighted product methods in selecting the best elementary school in Indonesia. International Journal of Software Engineering and Its Applications, 11(4), 69–90.

Goh, C. H., Tung, Y. C. A., and Cheng, C. H. (1996). A revised weighted sum decision model for robot selection. Computers & Industrial Engineering, 30(2), 193–199.

Mateo, J. R. S. C. (2012). Weighted sum method and weighted product method. In Multi criteria analysis in the renewable energy industry (pp. 19–22). Springer, London.

Marseguerra, M., Zio, E., and Bosi, F. (2002). Direct Monte Carlo availability assessment of a nuclear safety system with time-dependent failure characteristics. In International Conference on Mathematical Methods in Reliability (pp. 429–432).

Salazar, D. E., Rocco, C. M., and Zio, E. (2007). Robust reliability design of a nuclear system by multiple objective evolutionary optimisation. International Journal of Nuclear Knowledge Management, 2(3), 333–345.

Kumar, A., Pant, S., Ram, M., and Yadav, O. (Eds.). (2022). Meta-heuristic Optimization Techniques: Applications in Engineering (Vol. 10). Walter de Gruyter GmbH & Co KG.

Uniyal, N., Pant, S., Kumar, A., and Pant, P. (2022). Nature-inspired metaheuristic algorithms for optimization. Meta-heuristic Optimization Techniques: Applications in Engineering, 10, 1.

Ram, M., Bhandari, A. S., and Kumar, A. (2022). Reliability Evaluation and Cost Optimization of Solar Road Studs. International Journal of Reliability, Quality and Safety Engineering, 29(01), 2150041.

Bhandari, A. S., Ram, M., Kumar, A., and Dimri, S. C. (2022). Reliability Evaluation and Cost Optimization of Solar Air-Conditioner. In Reliability and Maintainability Assessment of Industrial Systems (pp. 271–289). Springer, Cham.

Bhandari, A. S., Kumar, A., and Ram, M. (2022). Reliability redundancy allocation for water quality monitoring system using hybrid PSO-GWO. Nonlinear Studies, 29(3).

Downloads

Published

2023-07-27

How to Cite

Kumar, A. ., Pant, S. ., & Ram, M. . (2023). Cost Optimization and Reliability Parameter Extraction of a Complex Engineering System. Journal of Reliability and Statistical Studies, 16(01), 99–116. https://doi.org/10.13052/jrss0974-8024.1615

Issue

Section

Articles