Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2016
  • Volume: 8
  • Issue: 2

Economic analysis of a water process system with provision of non-switching and online repairs on minor faults

  • Author:
  • Sunita Rani1, Rajeev Kumar2
  • Total Page Count: 12
  • Page Number: 315 to 326

1Research Scholar, Department of Mathematics, M. D. University, Rohtak, Haryana [India] E-mail: kakoriasunita@gmail.com

2Professor, Department of Mathematics, M. D. University, Rohtak, Haryana [India] drrajeevmdu@gmail.com

Online published on 1 August, 2017.

Abstract

The paper investigates a stochastic model developed for an industrial process water system on the basis of observation taken from Panipat Thermal Power Plant, Panipat. The system comprises of several redundant and non-redundant subsystems wherein the redundant subsystems are of two types, namely 1-out-of-2 (Type-I) and 2-out-of-3 (Type-II). The system goes to complete failure due to a fault in non-redundant subsystem whereas it goes to partial failures due to a minor fault as to avoid the generation losses switching of the redundant subsystems is not carried out. However in case of occurrence of major faults in a redundant subsystem, switching of the subsystem is automatic and instantaneous. Further on partial failure, the repairman first inspects the system to judge which subsystem has the minor fault and accordingly carries out the online repair of the subsystems. For the model, various measures of system effectiveness are obtained using Markov process and regenerative point technique. Profit incurred to the system is also computed. The reliability and cost analyses of the system are presented through graphs for a particular case.

Keywords

Water process system, mean time to system failure, expected uptime with full/reduced capacity, profit, Markov process and regenerative point technique