Reliability–Redundancy Allocation of Pharmaceutical Plant Using Cuckoo Search and Hybrid of GWO-CS

Authors

  • Mangey Ram Department of Mathematics, Computer Science and Engineering, Graphic Era (Deemed to be University), Dehradun, India
  • Nupur Goyal Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India
  • Shivani Choudhary Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India
  • Seema Saini Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1726

Keywords:

RRAP, HGWOCS, CS, pharmaceutical plant, reliability

Abstract

The Reliability-Redundancy Allocation Problem (RRAP) is a non-linear mixed-integer programming problem. It is essential to the design of any system and the enhancement of reliability. In this article, two metaheuristic techniques: Cuckoo-Search (CS) and a Hybrid of Grey-Wolf Optimization (GWO) and CS (HGWOCS) are proposed to address the reliability optimization of pharmaceutical plant. This plant illustrates RRAP to optimize reliability under designed constraints such as weight, cost, and volume. The GWO exploration ability and the CS exploitation ability are merged in this hybrid technique. These approaches are compared in terms of optimal solution and accuracy with each other results and previous literature. The statistical outcomes and convergence rate show the expected approach’s excellent performance. The final conclusion revealed that the proposed optimization algorithm can accurately enhance the reliability of the pharmaceutical plant.

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Author Biographies

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 sixteen 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. 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 the 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 500 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 around 100 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, the Senior Life Member of the Operational Research Society of India, the 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 the “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; the “Research Excellence Award” in 2015; “Outstanding Researcher Award” in 2018 for his significant contribution to academics and research at Graphic Era Deemed to be University, Dehradun, India. Also, he has received the “Excellence in Research of the Year-2021 Award” by the Honourable Chief Minister of Uttarakhand State, India, and the “Emerging Mathematician of Uttarakhand” state award by the Director, Uttarakhand Higher Education. Recently, he received the “Distinguished Service Award-2023” for the subject & nation development by Vijñâna Parishad of India.

Nupur Goyal, Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India

Nupur Goyal received the Bachelor’s degree in Computer science in 2009 from Kurukshetra University, Kurukshetra, Haryana, India. She received the master’s degree in mathematics in 2011 from H.N.B. Garhwal University, Srinagar, Uttarakhand, India and Ph.D. degree from Graphic Era University, Dehradun, Uttarakhand, India in November 2016. Her research interests are in the area of reliability theory and operation research. She has been an Assistant Professor in the Mathematics Department of the Suraj Degree College, Mahendergarh, Haryana in 2016. She has been an Assistant Professor in the Mathematics Department of the Garg Degree College, Laksar, Haridwar from 2017 to October 2018. She has been an Assistant Professor and Head of the Department of Applied Science and Humanities Department, Roorkee Institute of Technology, Roorkee from 2018 to January 2020. Currently, she is an Associate Professor in department of Mathematics, Graphic Era Deemed to be University, Dehradun, India. She is a reviewer of various international journals including Springer, Emerald, IEEE, IJMEMS, and many MDPI journals. She has published around 70+ research papers in various reputed national and international journals, book chapters including Springer, Emerald, Taylor & Francis, Inderscience and many other and also presented her research works at national and international conferences. She is the guest editor in many special issues of some journals. She is associate editor in the International Journal of Mathematical, Engineering and Management Sciences. She has published one book in CRC Press- Taylor & Francis group. She has been a member of the organizing committee of a number of international and national conferences, seminars, and workshops.

Shivani Choudhary, Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India

Shivani Choudhary received the Bachelor’s degree in Computer Application from Kurukshetra University, Kurukshetra, Haryana, India. She received the master’s degree in mathematics from H.N.B. Garhwal University, Srinagar, Uttarakhand, India and pursuing Ph.D. degree from Graphic Era Deemed to be University, Dehradun, Uttarakhand, India. Her research interest includes reliability theory reliability optimization and applied mathematics. She has published several research papers in the area of reliability optimization in international journals and conferences. Her expertise and dedication make her a valuable asset in his field of study.

Seema Saini, Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, India

Seema Saini is working as Professor in Graphic Era Deemed to be University, since 2010. She received her Master’s degree (M.Sc.) in Mathematics from C.C.S. University Meerut in 1998 and Doctor of Philosophy (Ph.D.) in Mathematics from Indian Institute of Technology Roorkee in 2005. She has been teaching undergraduate and postgraduate mathematics courses for more than 17 years. Before joining Graphic Era, she has also served as a Teaching Associate in Thapar University Patiala as well as University of Roorkee. She has also completed a UGC major project in Thapar University Patiala. She has supervised four Ph.D. students during this tenure. She has published more than 30 research papers in the referred journals in SCI as well as non-SCIE. She has reviewed many research articles of international journals including Elsevier, Springer, Emerald, etc. She has been awarded the “Outstanding Researcher Award” in 2019, 2021, 2024 at Graphic Era Deemed to be University, Dehradun. She has the membership of Astronomical Society of India, Vijnana Bhrati, OWSD, and member of Editorial board of the journal of Reliability and Statistical Studies. She has been a member of the organizing committee of a number of international and national conferences, seminars, and workshop. She has coordinated AICTE ATAL FDP in 2022 at Graphic Era Deemed to be University for two weeks. Dr. Saini is also associated academically with Graphic Era in the fields like NAAC, UGC, NBA and BOS etc.

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Published

2024-12-19

How to Cite

Ram, M. ., Goyal, N. ., Choudhary, S. ., & Saini, S. . (2024). Reliability–Redundancy Allocation of Pharmaceutical Plant Using Cuckoo Search and Hybrid of GWO-CS. Journal of Reliability and Statistical Studies, 17(02), 367–392. https://doi.org/10.13052/jrss0974-8024.1726

Issue

2024: Vol 17 Iss 2

Section

Advances in Reliability Studies