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IMA Journal of Management Mathematics Advance Access originally published online on December 1, 2008
IMA Journal of Management Mathematics 2009 20(3):275-301; doi:10.1093/imaman/dpn037
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© The authors 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Mathematical modelling of maintained systems using point processes

A. Syamsundar{dagger} and V. N. A. Naikan{ddagger}

Reliability Engineering Centre, Indian Institute of Technology, Kharagpur, India

{dagger} Corresponding author. Email: syamsundar.anamraju{at}gmail.com. He obtained his B.E. (Mechanical) in 1984 from Andhra University, and since 2004 is working for his PhD in Reliability Engineering at the Indian Institute of Technology, Kharagpur. Since 1985 he has worked in various capacities in the maintenance of the steel melting shops of an integrated steel works, Visakhapatnam Steel Plant, Visakhapatnam, Andhra Pradesh, India, and is at present Deputy General Manager (Mechanical) and Technical Advisor to the Director (Operations) there. His research interests are in the fields of reliability and maintenance of industrial systems. He has a few publications in the area of reliability of maintained systems in international journals and conferences.

Received on 17 October 2007. Accepted on 9 October 2008.

In this paper, the analytical needs of industrial maintained systems are articulated and the mathematical modelling of maintained systems using the theory of point (counting) processes is presented. The adaptation of point processes to the complex nature of maintained systems is brought out. The models with their estimation, inference, validation and prediction based on the data generated by the maintained systems are depicted. Applications of these models to the data from maintained systems are shown and how they have been used to meet the objectives of maintenance is brought out. The issues resolved and the further work to be done is indicated.

Keywords: industrial maintenance; maintained system; point process; intensity process; marked point process; alternate timescale; competing risks

{ddagger} He obtained his PhD in 1996 from the Indian Institute of Technology, Kharagpur, and is an Associate Professor in the Reliability Engineering Centre and the Department of Industrial Engineering and Management and Head of Centre in the Reliability Engineering Centre there. His research interests are in condition monitoring, mechanical system reliability, probabilistic risk and system assessment, quality planning and management and reliability of engineering systems. He has published a number of papers in a variety of international journals and conferences on these issues. He has chaired the Technical Committee of the International Conference on Reliability and Safety Engineering in 2005, 2006 and 2007


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