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Mathematical Modeling for Evaluation Reliability of a Bleaching System

In: Predictive Analytics in System Reliability

Author

Listed:
  • Subhi Tyagi

    (Graphic Era Deemed to be University)

  • Akshay Kumar

    (Graphic Era Hill University)

  • Nupur Goyal

    (Graphic Era Deemed to be University)

  • Mangey Ram

    (Graphic Era Deemed to be University
    Peter the Great St. Petersburg Polytechnic University)

Abstract

The current research deals with the various reliability measures analysis for a complex bleaching system. The system has a complex structure with three subsystems A, B and C associated to each other in series arrangement. The subsystem A has only one unit and subsystem B and C have two identical units which are connected in parallel configuration with each other. In both the cases (B and C), second unit is in standby. The assumed bleaching framework has three type of states i.e., working, partially working and failed. The framework is assumed to be repaired from the degraded and failed states. Mathematical model of the designed framework is solved by means of supplementary variable technique and Markov process. Laplace transform of numerous differential equations is obtained. Various reliability measures such as reliability, availability, mean time to failure and expected cost are evaluated, graphical depiction of the reliability characteristics are also illustrated for the considered system.

Suggested Citation

  • Subhi Tyagi & Akshay Kumar & Nupur Goyal & Mangey Ram, 2023. "Mathematical Modeling for Evaluation Reliability of a Bleaching System," Springer Series in Reliability Engineering, in: Vijay Kumar & Hoang Pham (ed.), Predictive Analytics in System Reliability, pages 247-262, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-031-05347-4_16
    DOI: 10.1007/978-3-031-05347-4_16
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