Cost Analysis of Acceptance Sampling Models Using Dynamic Programming and Bayesian Inference Considering Inspection Errors
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JOIE-9-19_002
تاریخ نمایه سازی: 22 آبان 1397
Abstract:
Acceptance Sampling models have been widely applied in companies for the inspection and testing of the raw materials as well as the final products. A number of lots of the items are produced in a day in the industries so it may be impossible to inspect/test each item in a lot. The acceptance sampling models only provide the guarantee for the producer and consumer confirming that the items in the lots are according to the required specifications so that they can make appropriate decision based on the results obtained by testing the samples. Acceptance sampling plans are practical tools for quality control applications which consider quality contracting on product orders between the vendor and the buyer. Acceptance decision is based on sample information. In this research, dynamic programming and Bayesian inference is applied to decide amongdecisions of accepting, rejecting, tumbling the lot or continuing to the next decision making stage and more sampling. We employed cost objective functions to determine the optimal policy. First, we used the Bayesian modelling concept to determine the probability distribution of the nonconforming proportion of the lot and then dynamic programming was utilized to determine the optimal decision. Two dynamic programming models have been developed. The first one is for the perfect inspection system and the second one is for imperfect inspection. At the end, a case study is analysed to demonstrate the application the proposed methodology and sensitivity analyses are performed.
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Authors
Mohammad Saber Fallah Nezhad
Associate Professor, Industrial Engineering Department, University of Yazd, PO Box ۸۹۱۹۵-۷۴۱, Yazd ,Iran
Abolghasem Yousefi Babadi
PhD student of Industrial Engineering, Tehran University, Tehran, Iran