MATHEMATICAL MODELING AND AVAILABILITY ANALYSIS OF A CRYSTALLIZATION SYSTEM USING MARKOV PROCESS (original) (raw)
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In the performance analysis of production systems by using the traditional methods of engineering the knowledge of machine reliability factors is assumed to be precisely known. The current study entitled performance evaluation of food industry in India. To analyze and determine the availability of plant a case study has been undertaken from Moga Nestle food private limited industry in India. Various studies evaluating the performance of automated production systems with the help of modeling and simulation and analytical methods have always given priority to steady state performance as compared to transient performance. Production systems in which such kind of situations arises include systems with dysfunctional states and deadlocks, not stable queuing systems. This research work presents an approach for analyzing the performance of unreliable manufacturing systems that take care of uncertain machine factor estimates. The method that is being proposed is on the basis of Markov chain ...
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In the present study, a repairable unit of a sugar plant has been considered to determine the maintenance priorities of various subsystems of the unit. The selected repairable unit is crushing unit and it comprises of crusher, inter carrier and pump subsystems. Performance modeling of the unit is based on Markov approach. From the transition diagram of the unit, Chapman-Kolmogorov differential equations are derived. The equations are then solved to get the availability in steady state. It is assumed that all subsystems have constant rates of failure and repair. After that, development of decision matrices has been done for all subsystems. For various permutations of failure rates as well as repair rates, these decision matrices present different levels of availability for all the subsystems. On the basis of various values of availabilities and the graphs of failure and repair rates of subsystems, the optimum values of failure and repair rates are selected for maximum availability of...
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This paper discusses the performance modeling and availability analysis of Cane Juice Extraction System of Sugar Industry. The Sugar Industry is a complex and repairable engineering system. Cane Juice Extraction System of Sugar Industry consist of five subsystems arranged in series configuration. The failure and repair rates of each subsystems are assumed to be constant. For performance modeling and analysis of availability, a performance evaluating model has been developed with the help of mathematical formulation based on Markov Modeling. The differential equations have been developed on the basis of Probabilistic Approach using a Transition diagram. These equations have further been solved using normalizing condition in order to develop the steady state availability, a performance measure of the system concerned. The effect of repair rate on most vulnerable items of the system is examined to realize the highest level of performance. Increase in availability of system confers many...
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Markov chains models are widely applied in industrial engineering. In this paper, Markov chains are used to achieve modeling scenarios for the maintenance parameters and performance evaluation of production systems. The Markov chains are built with the queuing theory and are well-known for their power of representation by given a small computing effort. This paper is focused on reveal some random behaviors with the help of modeling scenarios. Our contribution consists in the development of two modeling scenarios. In the first scenario, the availability of a system with the setup phase and scraps is calculated, then the machine behavior in a period of a month is evaluated using failure and repair rates generated by Linear Congruential Generator. In the second scenario, the availability of a system with the setup phase without scraps is designed and evaluated.