### Mathematical Model of Productivity with Reliability and Losses Parameters for Serial Structure Linear Production Automated Flow Line: A Simulation Analysis

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#### Abstract

Industrial automated production flow line focus on productivity assessment and analysis since it present an important indicator of company profit and performance. Serial structure of production automated flow line widely implement in automated production sector for mass production. High accuracy yield of mathematical model of productivity is important for forecast work to increase the profits of company. This paper presents application of Witness software simulation for mathematical model of productivity with different reliability level of workstations and mechanisms, bottleneck machining time, and defected parts parameters for serial structure automated to validate this mathematical model which produce higher accuracy forecast result compare to current mathematical model of productivity which not consider few of productivity losses parameters. Validation through software simulation for mathematical model is important since there is lack of simulation for this model in current research for mathematical model. The simulation result for model is show higher accuracy which near to actual simulation productivity and the current mathematical model is replace by mathematical model with different reliability level for productivity forecast in academic and industries due to accuracy reason.

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