An integrated EPQ model based on a control chart for an imperfect production process |
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Authors: | Ershun Pan Yao Jin Shuyi Wang Ting Cang |
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Affiliation: | 1. Industrial Engineering and Logistics Engineering, School of Mechanical Engineering , Shanghai Jiao Tong University , No. 800, DongChuan Road, Shanghai 200240 , PR China pes@sjtu.edu.cn;3. Industrial Engineering and Logistics Engineering, School of Mechanical Engineering , Shanghai Jiao Tong University , No. 800, DongChuan Road, Shanghai 200240 , PR China;4. School of Medical Instrument and Food Engineering , The University of Shanghai for Science and Technology , No. 516, JunGong Road, Shanghai 200093 , PR China |
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Abstract: | The notion of quality control is introduced into the classic economic production quantity (EPQ) model. Based on previous research, this paper contributes to an integrated EPQ model combining the concepts of statistical process control and maintenance. An imperfect production process involving three different conditions is considered. A control chart is adopted to monitor the whole process with Taguchi's loss function estimating the quality cost of each condition. A corresponding maintenance policy is planned for the machine depending on what condition it runs in. Thus the proposed EPQ model takes quality-related costs and maintenance-related costs into account other than storage costs and ordering costs already considered in the classic model. The objective of this model is to minimise the total expected production cost per production cycle while simultaneously determining the optimal parameters of control chart design, the interval between sampling, the sample size and the maintenance decision policy. The pattern search method is used to solve the problem using the MATLAB toolbox. In addition, a case study, sensitivity analysis and comparison analysis are presented to demonstrate the application of the model. |
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Keywords: | SPC control charts economic production quantity maintenance policy |
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