Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem

Sufficient condition for partial efficiency in a bicriteria nonlinear cutting stock problem

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Article ID: iaor20173863
Volume: 51
Issue: 3
Start Page Number: 709
End Page Number: 717
Publication Date: Jul 2017
Journal: RAIRO - Operations Research
Authors: ,
Keywords: manufacturing industries, combinatorial optimization, optimization, programming: multiple criteria, cutting stock, heuristics
Abstract:

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.

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