Work

Optimizing a Linear Function Over the Efficient Set of a Multi-objective Transportation Problem

Year: 2025

Type: article

Abstract: ABSTRACT In this study, we propose an exact method for optimizing a linear function over the efficient set of a multi-objective transportation problem (MOTP). This type of problem arises when a decision maker needs to optimize a preference function across numerous efficient solutions. We developed a cutting plane method that iteratively adds efficient cuts to the relaxation of the original problem until a feasible and optimal solution is achieved. The method is enhanced by a lower bound, enabling a more efficient search for the optimal solution.

Source: Pesquisa Operacional

DOI: 10.1590/0101-7438.2025.045.00294863

Authors: Zineb Mezali, Mohamed El-Amine Chergui

Institution: University of Sciences and Technology Houari Boumediene

Language: English

Topic: Optimization and Mathematical Programming

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Industry, innovation and infrastructure

Open Access status: diamond

OpenAlex ID: W4414407856

FWCI:

Cites: 33

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