Title: Transient analysis of machining systems with service interruption, mixed standbys and priority

Authors: Madhu Jain

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Distt. Hardwar-247 667, India

Abstract: Spare support plays an important role in improving the reliability of multi-component repairable machining systems in many industries as well as in day-to-day real-time embedded systems. This paper is concerned with the reliability analysis of embedded machining system consisting of two types of units along with warm and cold standbys support under the priority concepts. The Markov model is developed by constructing the transient equations using birth death process. Various queueing and reliability performance measures are established in terms of transient probabilities of the system states which are evaluated using numerical technique based on Runge-Kutta method. To illustrate the tractability of the proposed method, a numerical example is worked out. Further neuro-fuzzy inference approach is employed to compare some performance indices which are also obtained numerically.

Keywords: machine repair systems; Markovian model; priority queues; transient analysis; mixed standbys; queue size; Runge-Kutta method; neuro-fuzzy inference; availability; spares; modelling; machining systems; service interruption; reliability analysis; neural networks; fuzzy logic.

DOI: 10.1504/IJMOR.2013.056117

International Journal of Mathematics in Operational Research, 2013 Vol.5 No.5, pp.604 - 625

Available online: 11 Aug 2013 *

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