Markov chain approach to availability and profit evaluation of a series-parallel system with minor and major failures

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    The paper deals with modeling and performance evaluation of a series-parallel with independent failures using Markov Birth-Death process and probabilistic approach. The system consists of three subsystems arranged in series and parallel configurations with three possible states, working, reduced capacity and failed. Through the transition diagram, systems of differential equations are developed and solved recursively via probabilistic approach. Failure and repair rates for all the subsystems are assumed constant. Availability and profit matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. Performance of each subsystem of series-parallel system is evaluated. The present study will help the plant management in understanding the optimum system availability and profit to be achieved, and the maintenance efforts needed to maintain an appropriate level of availability and profit and useful for timely execution of proper maintenance improvement, decision, planning and optimization.


  • Keywords


    Availability; Optimization; Profit; Markov Chain.

  • References


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      [2] Kumar, D., Singh Jai and Pandey PC. Availability analysis of the washing system in the paper industry. Microelectron Reliability, vol.29, 1989, pp 775-778. https://doi.org/10.1016/0026-2714(89)90177-7.

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      [5] Kumar, D., Singh Jai and Pandey PC. Design and cost analysis of a refining system in a Sugar industry. Microelectron Reliability, vol. 30, no. 6, 1990, pp 1025-1028. https://doi.org/10.1016/0026-2714(90)90274-Q.

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      [7] P. Gupta, A. Lal, R. Sharma and J. Singh. Numerical analysis of reliability and availability of series processes in butter oil processing plant. International Journal of Quality and Reliability Management, vol. 22, no. 3 2005, pp 303-316. https://doi.org/10.1108/02656710510582507.

      [8] P. Gupta, A. Lal, R. Sharma and J. Singh. Behavioral study of the Cement Manufacturing plant. A numerical approach. Journal of Mathematics and systems sciences. Vol.1, no. 1, 2005, pp 50-69.

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Article ID: 7813
 
DOI: 10.14419/ijamr.v6i3.7813




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