Mathematical Modeling for Evaluation Reliability of a Bleaching System

Subhi Tyagi (), Akshay Kumar (), Nupur Goyal () and Mangey Ram ()
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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

A chapter in Predictive Analytics in System Reliability, 2023, pp 247-262 from Springer

Abstract: 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.

Keywords: Availability; Reliability; Mean time to failure; Cost analysis; Complex bleaching system; Markov process (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-031-05347-4_16

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DOI: 10.1007/978-3-031-05347-4_16

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