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- Title
Block Replacement Modeling for Electronic Systems with Higher Order Markov Chains.
- Authors
Kilari, Naveen; Reddy, C. Nadhamuni; Naik, B. Balu
- Abstract
This paper, deals with the development of a model for group replacement of a block of computer and computer-based system using high-order Markov chains. To make the model more realistic two intermediate repairable states, i.e., minor repair state and major repair state, are introduced between working and failure states of the system. Transition probabilities for future periods are estimated by spectral decomposition in first-order Markov chain and by weighted moving transition model for second-order Markov chain. With these probabilities, the number of systems in each state and the corresponding maintenance cost are computed accordingly. The predicted inflation for computer and computer-based system in India and the real value of money using Fisherman's relation are employed to study and develop the real time mathematical model for group replacement decision making which is useful for large IT companies and any other block of items as well.
- Subjects
INDIA; ELECTRONIC systems; COMPUTER system maintenance &; repair; MARKOV processes; REPLACEMENT of industrial equipment; MATHEMATICAL models; DECISION making; INFORMATION technology management; EQUIPMENT &; supplies
- Publication
IUP Journal of Computational Mathematics, 2011, Vol 4, Issue 2, p49
- ISSN
0974-6544
- Publication type
Article