Discrete optimization
Capacitated lot sizing with setup times
Management Science
Analysis of relaxations for the multi-item capacitated lot-sizing problem
Annals of Operations Research
Economic lot sizing: an O(n log n) algorithm that runs in linear time in the Wagner-Whitin case
Operations Research - Supplement
Improved algorithms for economic lot size problems
Operations Research
Statistical search methods for lotsizing problems
Annals of Operations Research - Special issue on Tabu search
CO89 Selected papers of the conference on Combinatorial Optimization
A Dynamic Lot-Sizing Model with Demand Time Windows
Management Science
The multi-item capacitated lot-sizing problem with safety stocks and demand shortage costs
Computers and Operations Research
Polyhedral and Lagrangian approaches for lot sizing with production time windows and setup times
Computers and Operations Research
Capacitated dynamic lot-sizing problem with delivery/production time windows
Operations Research Letters
Computers and Industrial Engineering
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This research concerns a new family of capacitated multi-item lot-sizing problems, namely, lot-sizing problems with time windows. Two classes of the problem are analyzed and solved using different Lagrangian heuristics. Capacity constraints and a subset of time window constraints are relaxed resulting in particular single-item time window problems that are solved in polynomial time. Other relaxations leading to the classical Wagner-Whitin problem are also tested. Several smoothing heuristics are implemented and tested, and their results are compared. The gaps between lower and upper bounds for most problems are very small (less than 1%). Moreover, the proposed algorithms are robust and do not seem to be too affected when different parameters of the problem are varied.