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EL-Said, K.M. and M.S. EL-Sherbeny (2010). “Stochastic Analysis of a Two-Unit Cold Standby System with Two-Stage Repair and Waiting Time”, Sankhya: the Indian journal of Statistics, 72(B), 1-10.

has been cited by the following article:

# Probabilistic Analysis of a Ceramic Tile Production System Considering Various Redundant Subsystems and Inspection

1Department of Mathematics, M.D. University, Rohtak (Haryana), India

American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 2, 79-85
DOI: 10.12691/ajams-7-2-5
Copyright © 2019 Science and Education Publishing

Cite this paper:
Reena, Rajeev Kumar. Probabilistic Analysis of a Ceramic Tile Production System Considering Various Redundant Subsystems and Inspection. American Journal of Applied Mathematics and Statistics. 2019; 7(2):79-85. doi: 10.12691/ajams-7-2-5.

Correspondence to:  Reena, Department of Mathematics, M.D. University, Rohtak (Haryana), India. Email: phogat.reena026@gmail.com

## Abstract

The present paper gives analysis of a stochastic model for a ceramic tile production system considering its five main subsystems viz. Ball Mill, Spray Dryer, Hydraulic Press, Glaze Line and Kiln and a storage system, Silo. It was considered that the failure of Ball Mill and Spray Dryer subsystems depends upon Silo while failure of other subsystems are independent of Silo. Also the storage in Silo is consumed during the repair/replacement of the failed subsystems then the system goes to failure otherwise it is operative. During the occurrence of failure in subsystems Hydraulic Press, Glaze Line and Kiln, leads to the failure in other subsequent subsystem and the repairman first inspects in which redundant unit of the subsystem has a fault and then accordingly repair/replacement is carried out. The system has been analysed using Markov process and regenerative point techniques. Various conclusions for the system regarding its reliability and availability are drawn by plotting several graphs for a particular case.