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Performance Determination for MSS Manufacturing System by Lz-Transform and Stochastic Processes Approach

We analyzed performance of industrial animal food additives manufacturer. Our primary focus is on production of food supplement for growing chickens. In order to determine the performance of manufacturing production system we constructed a mathematical model that based on Markov chains and represents the different states of each element and sub-systems in the system and the various production levels. The system can be represented as Markov model with 48 different states expressing the different performance levels of the entire process and created as system with 48 differential equations, solution of which is complicated problem. To overcome this obstacle we propose an application of the Lz-transform method for performance assessment of aging multi-state system (MSS) and its manufacturing capability. We demonstrated that the suggested method can be implemented in engineering decision making and construction of various MSS aging systems related to requirements, availability and production.