Geodesic
Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem
Arana-Jiménez, Manuel1 ; Salles Neto, L. L.2
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.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 709-717

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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.

DOI : 10.1051/ro/2016058
Classification : 90C26, 90C29, 90C46
Keywords: Multiple objective programming, optimality conditions, continuous optimization, cutting stock problem

Arana-Jiménez, Manuel 1 ; Salles Neto, L. L. 2

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. 
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     author = {Arana-Jim\'enez, Manuel and Salles Neto, L. L.},
     title = {Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {709--717},
     publisher = {EDP-Sciences},
     volume = {51},
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     year = {2017},
     doi = {10.1051/ro/2016058},
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Arana-Jiménez, Manuel; Salles Neto, L. L. Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 709-717. doi: 10.1051/ro/2016058

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