The multi-item capacitated lot-sizing problem with setup times and shortage costs
نویسندگان
چکیده
منابع مشابه
The multi-item capacitated lot-sizing problem with setup times and 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 based on a generalization of...
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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. We propose mixed integer programming heuristics based on a planning horizon decomposition s...
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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 can be modelled as a mixed integer program and it is NP-hard. In this paper, we propose some classes of valid inequalities based on a generalization of Miller et al. [17] ...
متن کاملThe multi-item capacitated lot-sizing problem with safety stocks and demand shortage costs
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 algor...
متن کاملA Capacitated Lot Sizing Problem with Stochastic Setup Times
In this paper, we study a Capacitated Lot Sizing Problem with Stochastic Setup Times (CLSP-SST).We describe a mathematical model that considers both regular costs (including production, setup and inventory holding costs) and expected overtime costs (related to the excess usage of capacity). The CLSP-SST is formulated as a two-stage stochastic programming problem. A procedure is proposed to effe...
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2008
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2006.01.053