Evolutionary Algorithm-based Approach for Multi-Objective Optimization of a Complex Reliability 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 1) Department of Mathematics, Computer Science & Engineering, Graphic Era Deemed to be University, Dehradun, India 2) Institute of Advanced Manufacturing Technologies, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg 195251, Russia
  • Akshay Kumar Department of Mathematics, Graphic Era Hill University, Dehradun, India

DOI:

https://doi.org/10.13052/jgeu0975-1416.1122

Keywords:

Reliability, cost, multi-objective optimization problem (MOOP), evolutionary algorithm, pareto optimal fronts (POFs), particle swarm optimization incorporating crowding distance (MOPSO-CD)

Abstract

Dealing with the conflicting objectives in reliability analysis of complex engineering systems is always a challenging task. Here, we have taken two conflicting objectives namely reducing cost and increasing the reliability of a complex reliability system named life support system in space capsule (LS3C) into consideration. A novel multi-objective evolutionary algorithm named MOPSO-CD has been employed to get various Pareto Optimal Fronts (POFs) in accordance with different parameter tuning. The simulation results so obtained provide a wide range of varieties of POFs to decision maker (DM).

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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 04 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 45 research articles in journals of national/international repute and authored/edited 04 books in his area of interest.

Mangey Ram, 1) Department of Mathematics, Computer Science & Engineering, Graphic Era Deemed to be University, Dehradun, India 2) Institute of Advanced Manufacturing Technologies, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg 195251, Russia

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.

Akshay Kumar, Department of Mathematics, Graphic Era Hill University, Dehradun, India

Akshay Kumar received the B.Sc. and M.Sc. degree in science from Chaudhary Charan Singh University, Meerut, India, in 2010 and 2012, and the Ph.D. degree major in Mathematics and minor in Computer science from G. B. Pant University of Agriculture and Technology, Pantnagar, India, in 2017. He is currently working as an Assistant Professor in the Department of Mathematics, Graphic Era Hill University, Dehradun in India. He has more than 5-year teaching experience. He is a regular Reviewer for more than 35 international journals including Elsevier, Springer, Emerald, MDPI, Cambridge University Press, World Scientific, River Publisher, IGI Global Publisher and many other publishers. He has published 60 plus research papers in Communications in Statistics – Simulation and Computation., Emerald, Inderscience, International Journal of Mathematical, Engineering and Management Sciences, IGI Global Publisher, MDPI, World Scientific, Wiley Publishers, Cambridge Scientific Publishers, Springer nature, Multimedia Tools and Applications and many other national and international journals of repute and presented his works at national and international conferences. Also, he has published 2 books (edited) with international publishers like River Publisher and IGI Global Publisher. His fields of research are reliability theory, fuzzy reliability, signature reliability and applied Mathematics.

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Published

2023-04-19

How to Cite

Kumar, A., Pant, S., Ram, M., & Kumar, A. (2023). Evolutionary Algorithm-based Approach for Multi-Objective Optimization of a Complex Reliability System. Journal of Graphic Era University, 11(02), 133–152. https://doi.org/10.13052/jgeu0975-1416.1122

Issue

2023: Vol 11 Iss 2

Section

Articles