American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2019, 7(2), 79-85
DOI: 10.12691/ajams-7-2-5
Open AccessArticle

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

Reena1, and Rajeev Kumar1

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

Pub. Date: March 29, 2019

Cite this paper:
Reena and 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

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.

Keywords:
ceramic tile production system stochastic model reliability availability Markov process and regenerative point technique

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