Title
Mathematical Model And Solution Approaches For Integrated Lot-Sizing, Scheduling And Cutting Stock Problems
Abstract
In this paper, we address a two-stage integrated lot-sizing, scheduling and cutting stock problem with sequence-dependent setup times and setup costs. In production stage one, a cutting machine is used to cut large objects into smaller pieces, in which cutting patterns are generated and used to cut the pieces, and should be sequenced in order to obtain a complete cutting plan for the problem. The cut pieces, from production stage one, are used to assemble final products in production stage two, where the final products are scheduled in order to meet the client's demands. To solve the two-stage integrated problem, we present solution methods based on a price-and-branch approach, in which a column generation procedure is proposed to generate columns and the integer problem is solved by decomposition solution approaches. A computational study is conducted using randomly generated data and an analysis showing the impact of the solution approaches in the two-stage integrated problem is presented. In addition, the performance and benefits of the integrated approach are compared to an empirical simulation of the common practice (sequential approach).
Year
DOI
Venue
2020
10.1007/s10479-020-03764-9
ANNALS OF OPERATIONS RESEARCH
Keywords
DocType
Volume
Cutting stock and scheduling problems, Lot-sizing and scheduling problems, Sequence-dependent setups, Price-and-branch approaches
Journal
295
Issue
ISSN
Citations 
2
0254-5330
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Gislaine Mara Melega100.34
Silvio A. Araujo21048.44
Reinaldo Morabito353943.90