Availability Analysis of Refining System of a Sugar Plant Using Markov Process (original) (raw)
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Development of Simulation Model for Performance Evaluation of Refining System in a Sugar Plant
Indian Journal of Applied Research, 2011
The present paper deals with development of a simulation model for the performance evaluation of feed water system of a thermal power plant using Markov Birth-Death process and probabilistic approach. In present paper, the feed water system consists of four subsystems. After drawing transition diagram for feed water system, differential equations are developed and then solved recursively using probabilistic approach. Then to predict the steady state availability i.e. measure of performance of feed water system, normalizing conditions are used. Thus availability simulation model has been developed. After that, the availability matrix and plots of failure/repair rates of all subsystems are prepared to decide the availability trends. Based upon various availability values in the availability matrix, performance of feed water system has been evaluated. Further the optimum values of failure/repair rates for maximum system availability have also been determined. The finding of this paper might be helpful to the plant management for futuristic maintenance decisions.
Mathematical Modelling and Availability Optimization of feeding system in a sugar plant
—The paper discusses the availability analysis of feeding system of sugar industry. It comprises of various subsystems so it is a complex and repairable system. It includes feeding system, crushing system, and steam generation, refining system, evaporation system and crystallization. One of the main parts of a sugar industry is feeding system. The supply system of sugar cane comprises of chain conveyor, choppers, chain conveyors and crushing system. If one unit fails, the failure of feeding system takes place. The mathematical formulation based on Markov birth-death process using probabilistic approach will be used to develop a performance evaluation model to analyze the availability. The first order differential equations are developed to serve purpose. The equations are solved by using normalizing conditions to determine steady state availability. The quantitative analysis of courses of actions and states of nature is dealt. This paper's result is useful in analysis of availability and determining maintenance strategies in sugar industry.
Continuous-Time Markov Chain Model of Repairable Machine: Application to Asalaya Sugar Factory
This study aims at dealing with continuous time Markov chain model application on the fault time of two machines (Mill troup-Boiler), important machine in Asalaya Sugar Factory in season (January/2019-Decmber/2019), which affiliated to Sudanese Sugar Company.The study conduces that the failure time of machines follows Exponential distribution estimation fault distribution.Failure time represent transition matrix in the Continuous time Markov chain. The probability of the machine in operating state is greater than the probability of the machine in a fail state.The high probability of the machine in operating state and the mean time of a machine stay estimated by 4 hours in state (1) (operating state) meanwhile the machine stay in state (0) (fail state) estimated by one hour which indicates the efficiency of the maintenance unit, it is clear that, the probability of available time to repair machines when it fault approximately (0.80), this indicates that the machines has high availability.
MATHEMATICAL MODELING AND AVAILABILITY ANALYSIS OF A CRYSTALLIZATION SYSTEM USING MARKOV PROCESS
This paper deals with the mathematical modeling and availability analysis of crystallization system of a sugar plant. The crystallization system of sugar plant consists of three subsystems with three possible states: full working, reduced capacity working and failure. Failure and Repair rates for all the subsystems are assumed to be constant. Formulation of the problem is carried out using Markov Birth-Death process using probabilistic approach and a transition diagram represents the operational behavior of the system. Interrelationship among the full working and reduced working states has been developed. A probabilistic model has been developed, considering some assumptions. Data in feasible range has been selected from a survey of sugar plant and the effect of each subsystem on the system availability is tabulated in the form of availability matrices, which provides various availability levels for different combinations of failure and repair rates of all subsystems.
PERFORMANCE EVALUATION & AVAILABILITY ANALYSIS OF FEEDING SYSTEM IN A SUGAR INDUSTRY
This paper discusses the performance evaluation and availability analysis of feeding system of a sugar plant. The sugar industry is a complex and repairable engineering system comprises of various units viz. feeding, crushing, evaporation, refining and crystallization etc. One of the most important functionaries of a sugar industry is feeding system. This system consists of four subsystems arranged in series configuration. For the evaluation of performance and analysis of availability, a performance evaluating model has been developed with the help of mathematical formulation based on Markov Birth-Death process using probabilistic approach. The findings of this paper are therefore, considered to be useful for the analysis of availability and determination of best possible maintenance strategies in a sugar industry concerned.
Performance Modeling and Availability Analysis of Cane Juice Extraction System of A Sugar Industry
2016
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...
Maintenance priorities determination for a repairable unit of a sugar plant
Journal of Physics: Conference Series, 2019
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...
2020
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.
International Journal of Scientific Research in Science, Engineering and Technology, 2018
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 ...