setup times – Optimization Online

MIP-based heuristics for multi-item capacitated lot-sizing problem with setup times and shortage costs

Published: 2005/11/17, Updated: 2007/07/18

Applications - OR and Management Sciences heuristics, lot sizing, mixed-integer programming, production planning, safety stock deficit, setup times, shortage costs

We address a multi-item capacitated lot-sizing problem with setup times that arises in real-world production planning contexts. 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. A mixed integer mathematical formulation is presented. We propose … Read more

The multi-item capacitated lot-sizing problem with setup times and shortage costs

Published: 2005/09/21, Updated: 2007/11/06

Nabil Absi

Safia Kedad-Sidhoum

Branch and Cut Algorithms, Production and Logistics branch-and-cut, capacitated lot-sizing, mixed-integer programming, multi-item, production planning, setup times, shortage costs

We address a multi-item capacitated lot-sizing problem with setup times and shortage costs that arises in real-world production planning problems. Demand cannot be backlogged, but can be totally or partially lost. The problem is NP-hard. A mixed integer mathematical formulation is presented. Our approach in this paper is to propose some classes of valid inequalities … Read more