| Issue |
RAIRO-Oper. Res.
Volume 51, Number 3, July-September 2017
|
|
|---|---|---|
| Page(s) | 709 - 717 | |
| DOI | https://doi.org/10.1051/ro/2016058 | |
| Published online | 31 July 2017 | |
Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem
1 Department of Statistics and Operational Research, Faculty of SSCC and Communication, University of Cádiz, Av. de la Universidad, Jerez 11406, Spain.
manuel.arana@uca.es
2 Departamento de Ciência e Tecnologia, Universidade Federal de São Paulo, Brazil.
luiz.leduino@unifesp.br
Received: 16 November 2015
Accepted: 30 August 2016
This work presents a sufficient criteria for partial efficient solutions of the cutting stock problem with two objectives. We consider two important objectives for an industry: number of processed objects (cost of raw materials) and number of different patterns (cost of setup). These optimality results are established through a new approach based on connections between discrete optimization and continuous vector optimization.
Mathematics Subject Classification: 90C26 / 90C29 / 90C46
Key words: Multiple objective programming / optimality conditions / continuous optimization / cutting stock problem
© EDP Sciences, ROADEF, SMAI 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.