Title
Improved algorithms for dynamic lot sizing problems with incremental discount.
Abstract
We develop improved algorithms for the dynamic lot sizing problems with incremental discount, where the procurement cost is a concave piecewise linear function with m sections and the holding cost is linear. We decompose the problem carefully and present a new dynamic programming formulation. By using geometric techniques, we show that when m is fixed, the problem can be solved in O(T log T) time, and further O(T) time if the procurement cost is stationary.
Year
DOI
Venue
2019
10.1080/10556788.2017.1368508
OPTIMIZATION METHODS & SOFTWARE
Keywords
Field
DocType
dynamic lot sizing,concave piecewise linear cost,exact algorithms,geometric technique,dynamic programming
Dynamic programming,Mathematical optimization,Holding cost,Algorithm,Sizing,Procurement,Piecewise linear function,Mathematics
Journal
Volume
Issue
ISSN
34
1
1055-6788
Citations 
PageRank 
References 
0
0.34
15
Authors
2
Name
Order
Citations
PageRank
Jie Fan100.68
Guoqing Wang27517.84