Solving multi-item capacitated lot-sizing problems using variable redefinition
Operations Research
Capacitated lot sizing with setup times
Management Science
Analysis of relaxations for the multi-item capacitated lot-sizing problem
Annals of Operations Research
bc -- prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems
Management Science
Improved lower bounds for the capacitated lot sizing problem with setup times
Operations Research Letters
Solving Lot-Sizing Problems on Parallel Identical Machines Using Symmetry-Breaking Constraints
INFORMS Journal on Computing
Polyhedral and Lagrangian approaches for lot sizing with production time windows and setup times
Computers and Operations Research
Fixed-charge transportation on a path: linear programming formulations
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
Improved lower bounds for the capacitated lot sizing problem with setup times
Operations Research Letters
A computational analysis of lower bounds for big bucket production planning problems
Computational Optimization and Applications
Computers and Industrial Engineering
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We present new lower bounds for the capacitated lot sizing problem, applying decomposition to the network reformulation. The demand constraints are the linking constraints and the problem decomposes into subproblems per period containing the capacity and setup constraints. Computational results and a comparison to other lower bounds are presented.