Template-Type: ReDIF-Paper 1.0 Author-Name: Hwang, H.C. Author-Name-Last: Hwang Author-Name-First: Hark-Chin Author-Name: van den Heuvel, W. Author-Name-Last: van den Heuvel Author-Name-First: Wilco Author-Person: pva62 Title: Improved Algorithms for a Lot-Sizing Problem with Inventory Bounds and Backlogging Abstract: This paper considers a dynamic lot-sizing problem with storage capacity limitation in which backlogging is allowed. For general concave production and inventory costs, we present an O(T2) dynamic programming algorithm where T is the length of the planning horizon. Furthermore, for fixed-charge and nonspeculative costs, we provide O(Tlog T) and O(T) algorithms, respectively. This paper therefore concludes that the time complexity to solve the bounded inventory lot-sizing problem with backlogging is the same as the complexity to solve the uncapacitated lot-sizing problem for the commonly used cost structures Creation-Date: 2010-03-29 File-URL: https://repub.eur.nl/pub/18591/EI2010-17.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2010-17 Keywords: algorithms, inventory and production, lot-sizing, storage capacity Handle: RePEc:ems:eureir:18591