Title
The stochastic trim-loss problem
Abstract
The cutting stock problem (CSP) is one of the most fascinating problems in operations research. The problem aims at determining the optimal plan to cut a number of parts of various length from an inventory of standard-size material so to satisfy the customers demands. The deterministic CSP ignores the uncertain nature of the demands thus typically providing recommendations that may result in overproduction or in profit loss. This paper proposes a stochastic version of the CSP which explicitly takes into account uncertainty. Using a scenario-based approach, we develop a two-stage stochastic programming formulation. The highly non-convex nature of the model together with its huge size prevent the application of standard software. We use a solution approach designed to exploit the specific problem structure. Encouraging preliminary computational results are provided.
Year
DOI
Venue
2009
10.1016/j.ejor.2008.04.042
European Journal of Operational Research
Keywords
Field
DocType
Stochastic programming,Trim-loss problem,Branch and bound
Branch and bound,Mathematical optimization,Benefice,Trim,Exploit,Software,Cutting stock problem,Stochastic programming,Convex analysis,Mathematics,Operations management
Journal
Volume
Issue
ISSN
197
1
0377-2217
Citations 
PageRank 
References 
5
0.47
24
Authors
3
Name
Order
Citations
PageRank
P. Beraldi133427.07
Maria Elena Bruni213912.15
D. Conforti318219.08