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
A faster strongly polynomial minimum cost flow algorithm
Operations Research
Improved algorithms for economic lot size problems
Operations Research
A Lagrange relaxation approach for very-large-scale capacitated lot-sizing
Management Science
Loss of customer goodwill in the uncapacitated lot-sizing problem
Computers and Operations Research
Capacitated Multi-Item Lot-Sizing Problems with Time Windows
Operations Research
Dynamic Version of the Economic Lot Size Model
Management Science
The Lagrangian Relaxation Method for Solving Integer Programming Problems
Management Science
Heuristics for the multi-item capacitated lot-sizing problem with lost sales
Computers and Operations Research
Pig procurement plan considering pig growth and size distribution
Computers and Industrial Engineering
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We address a multi-item capacitated lot-sizing problem with setup times, safety stock and demand shortages. Demand cannot be backlogged, but can be totally or partially lost. Safety stock is an objective to reach rather than an industrial constraint to respect. The problem is np-hard. We propose a Lagrangian relaxation of the resource capacity constraints. We develop a dynamic programming algorithm to solve the induced sub-problems. An upper bound is also proposed using a Lagrangian heuristic with several smoothing algorithms. Some experimental results showing the effectiveness of the approach are reported.