Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/34351
Title: Dynamic lot sizing with all-units discount and resales
Authors: Li, CL 
Ou, J
Hsu, VN
Keywords: Dynamic lot sizing
Dynamic programming
Inventory management
Quantity discount
Issue Date: 2012
Publisher: John Wiley & Sons
Source: Naval research logistics, 2012, v. 59, no. 3-4, p. 230-243 How to cite?
Journal: Naval research logistics 
Abstract: We consider a single-product dynamic lot-sizing model with an all-units quantity discount pricing scheme available to the buyer, where the discount price breakpoints are stationary. To capture the real-life behavior of a typical buyer who often takes advantage of quantity discounts through purchasing in excess of the anticipated demand, our model allows the buyer to resell or dispose of any leftover inventory that he/she does not need. We show that the general problem with an arbitrary number of discount price breakpoints is NP-hard. We then develop a polynomial algorithm for the problem with an O(T m+3) running time when the number of price breakpoints, m, is fixed, where T is the number of time periods in the planning horizon. We further develop an O(T 2) algorithm for the special case with a single price breakpoint.
URI: http://hdl.handle.net/10397/34351
ISSN: 0894-069X
EISSN: 1520-6750
DOI: 10.1002/nav.21484
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