Volume 51, Number 3, July-September 2017
|Page(s)||709 - 717|
|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.
2 Departamento de Ciência e Tecnologia, Universidade Federal de São Paulo, Brazil.
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
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