Enhancing Reliability of Series-Parallel Systems: A Novel Mathematical Model for Redundancy Allocation

Authors

  • Ramadevi Surapati GITAM (Deemed to be University)
  • Sridhar Akiri GITAM (Deemed to be University)
  • Srinivasa Rao Velampudi Raghu Engineering College
  • Vasili B V Nagarjuna VIT-AP University
  • Potluri S. S. Swethan VIT-AP University
  • Bhavani Kapu GITAM (Deemed to be University)

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5672

Keywords:

IRR Model, Series-Parallel Configuration, System Reliability, LAM Approach, DMM Approach

Abstract

In reliability theory, series-parallel configuration systems provide a fundamental framework for examining the relationship between individual component lives and the overall system durability. This research examines the influence of several constraints, namely weight, volume, dimensions, and spatial limitations, on enhancing system reliability, specifically regarding spare components for standard oil burners, including nozzle tubes and electrode brackets. An Integrated Redundant Reliability Series-Parallel configuration system is systematically designed and evaluated utilizing the Lagrangean multiplier method, yielding real-valued solutions for essential parameters such as component quantities, component reliability, stage reliability, and overall system reliability. The study used the dynamic programming method to seek integer solutions, hence improving the accuracy and relevance of the reliability analysis.

Author Biographies

  • Ramadevi Surapati, GITAM (Deemed to be University)

    Department of Mathematics & Research Scholar

  • Sridhar Akiri, GITAM (Deemed to be University)

    Department of Mathematics and Assistant Professor

  • Srinivasa Rao Velampudi, Raghu Engineering College

    Department of Sciences and Humanities and Professor

  • Vasili B V Nagarjuna, VIT-AP University

    Department of Mathematics and Assistant Professor

  • Potluri S. S. Swethan, VIT-AP University

    Department of Mathematics and Research Scholar

  • Bhavani Kapu, GITAM (Deemed to be University)

    Department of Mathematics and Research Scholar

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Ramadevi Surapati, Sridhar Akiri, Srinivasa Rao Velampudi, Vasili B V Nagarjuna, Potluri S. S. Swethan, Bhavani Kapu

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How to Cite

Enhancing Reliability of Series-Parallel Systems: A Novel Mathematical Model for Redundancy Allocation. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5672. https://doi.org/10.29020/nybg.ejpam.v18i1.5672