Generalized lot sentencing rule for estimating the value of production lot for sale

Abstract

In the traditional lot sentencing rule, a buyer arrives to one of two decisions regarding lot disposition; either accept or reject a lot. However, it is more appropriate to consider choices between those two extreme decisions. A clear case where the traditional lot sentencing rule is not flexible is when a buyer purchases a lot from an English auction. In this paper, we propose a model that helps a buyer in estimating the value of a production lot. This model can be used by a bidder before the bidding process starts to estimate the value of an auctioned lot. The model provides an action plan that includes the estimated acquisition cost as a function of the number of defective items found in a random sample. Unlike the traditional lot sentencing rule, the proposed rule is more flexible and provides buyers with wider range of possible actions.

Keywords:

• quality control
• lot sentencing
• acceptance sampling
• English auction

Acknowledgements

The authors are grateful to the anonymous referees for their constructive comments and helpful suggestions, which improved the paper significantly.