Abstract
AbstractThis investigation presents admission control policy for the fault tolerant system comprising of multi-components operating machines and multiple types of warm standbys under the maintenance of single unreliable server. The concepts of F-policy which deals with the controlling of inflow of failed machines and imperfect coverage are incorporated to make Markov model formulation more realistic. The unreliable repairman takes some time before allowing the failed machines to wait in the system for the repair job. The successive over relaxation (SOR) method is used to obtain the system state probabilities at the steady state which are further used to evaluate other system indices including the mean queue length of failed machines, mean number of standby machines, throughput, etc. By constructing the cost function in terms of various performance indices and associated cost elements, the optimal repair rate is determined so that the maintenance of the concerned failure prone FTS can be done in an economi...
Highlights
The operation and capacity of fault tolerant systems involved in computer or communication networks, manufacturing or production systems and many other systems are highly affected by the failure of machining components
In the present article, we develop Markov model for the unreliable multicomponent fault tolerant system by including the features of (i) multiple types of warm standbys, (ii) F-policy, (iii) optional working vacation, (iv) startup time, (v) imperfect coverage
(iv) Server normal busy (NOB) state when ξ(t) = 3: When the server is operating in busy mode to provide the repair of the failed machines, the steadystate equations are framed for the states {(3, n); n = 0, 1, ... , K} as follows: (λ0 + a0 + α + pε + pε0)P3, 0 = βP2, 0 + μbP3, 1 + θbP0, 0 + θwP1, 0 (16)
Summary
Due to unavoidable failures of the machining parts the functioning of the organization/ system is stopped and result in the reputation loss and degradation in the quality of products. To ensure the pre-specified system efficiency and to achieve the production goal, the system designers have to pay much attention toward the fault tolerance strategies by designing the appropriate maintenance and redundancy policies. The features of recovery and reboot should be taken into account for the smooth functioning of the real-time machining systems in particular when there is requirement of high reliability. The indices established in this study to characterize the performance of the system can be helpful in the up gradation of the existing and for the future design of the new machining systems.
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