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Inventory Models with Defective Units and Sub-Lot Inspection

Department of Computer Science and Information Management, Hungkuang University, Taichung 43302, Taiwan
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Mathematics 2020, 8(6), 1038; https://doi.org/10.3390/math8061038
Received: 18 May 2020 / Revised: 15 June 2020 / Accepted: 22 June 2020 / Published: 25 June 2020
(This article belongs to the Section Computational Mathematics)
Inventory models must consider the probability of sub-optimal manufacturing and careless shipping to prevent the delivery of defective products to retailers. Retailers seeking to preserve a reputation of quality must also perform inspections of all items prior to sale. Inventory models that include sub-lot sampling inspections provide reasonable conditions by which to establish a lower bound and a pair of upper bounds in terms of order quantity. This should make it possible to determine the conditions of an optimal solution, which includes a unique interior solution to the problem of an order quantity satisfying the first partial derivative. The approach proposed in this paper can be used to solve the boundary. These study findings provide the analytical foundation for an inventory model that accounts for defective items and sub-lot sampling inspections. The numerical examples presented in a previous paper are used to demonstrate the derivation of an optimal solution. A counter-example is constructed to illustrate how existing iterative methods do not necessarily converge to the optimal solution. View Full-Text
Keywords: distribution-free inventory model; defective items; sub-lot sampling inspection; backordered rate; crashable lead time distribution-free inventory model; defective items; sub-lot sampling inspection; backordered rate; crashable lead time
MDPI and ACS Style

Tuan, H.-W.; Yang, G.K.; Hung, K.-C. Inventory Models with Defective Units and Sub-Lot Inspection. Mathematics 2020, 8, 1038.

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