WCSE

Throughput Estimation of Manufacturing Systems with Mixed Blocking Types

Abstract— This study proposed a decomposed method to calculate the throughput of manufacturing systems with mixed blocking types, including blocking before service and blocking after service. In particular, a manufacturing system is decomposed into sub-models, which decreases the analysis complexity of the steadystate probability of the manufacturing system. The iterative calculation formulations for blocking before service and blocking after service are proposed to deal with mixed blocking types and approximate the steadystate probability of the manufacturing system by iteratively calculating the state probabilities of the sub-models. If the state probability of the sub-model with output converges after several iterations, the throughput of the manufacturing system can be obtained based on the steady-state probability of the sub-model. To verify the effectiveness of the proposed decomposition method, it was compared to a simulator in a numerical example. The results demonstrated the effectiveness of the proposed method.

Index Terms— throughput estimation, manufacturing system, mixed blocking type, iterative calculation formulation.

Sixiao Gao
School of Traffic and Transportation Engineering, Central South University, China
Changxiang Fan
Department of Precision Engineering, Graduate School of Engineering, The University of Tokyo, Japan

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Cite: Sixiao Gao, Changxiang Fan, " Throughput Estimation of Manufacturing Systems with Mixed Blocking Types, " WCSE 2022 Spring Event: 2022 9th International Conference on Industrial Engineering and Applications, pp. 953-960, Sanya, China, April 15-18, 2022.