Acceptance sampling, imperfect production, and the optimality of zero defects

Acceptance sampling, imperfect production, and the optimality of zero defects

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Article ID: iaor19981142
Country: United States
Volume: 44
Issue: 6
Start Page Number: 515
End Page Number: 530
Publication Date: Sep 1997
Journal: Naval Research Logistics
Authors:
Keywords: acceptance sampling
Abstract:

Acceptance sampling is often used to monitor the quality of raw materials and components when product testing is destructive, time-consuming, or expensive. In this paper we consider the effect of a buyer-imposed acceptance sampling policy on the optimal batch size and optimal quality level delivered by an expected cost minimizing supplier. We define quality as the supplier's process capability, i.e. the probability that a unit conforms to all product specifications, and we assume that unit cost is an increasing function of the quality level. We also assume that the supplier faces a known and constant ‘pass-through’ cost, i.e. a fixed cost per defective unit passed on to the buyer. We show that the acceptance sampling plan has a significant impact on the supplier's optimal quality level, and we derive the conditions under which zero defects (100% conformance) is the policy that minimizes the supplier's expected annual cost.

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