Hybrid heuristic and mathematical programming in oil pipelines networks： Use of immigrants

We solve the problem of petroleum products distribution through oil pipelines networks. This problem is modelled and solved using two techniques: A heuristic method like a multiobjective evolutionary algorithm and Mathematical Programming. In the multiobjective evolutionary algorithm, several object...

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Bibliographic Details
Published in:Journal of Zhejiang University. A. Science 2005-08, Vol.6 (1), p.9-19
Main Author: DELACRUZJ.M. HERRAN-GONZALEZA. RISCO-MARTINJ.L. ANDRES-TOROB
Format: Article
Language:English
Subjects:
数学模型
石油管道
石油输送
程序设计
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Summary:We solve the problem of petroleum products distribution through oil pipelines networks. This problem is modelled and solved using two techniques: A heuristic method like a multiobjective evolutionary algorithm and Mathematical Programming. In the multiobjective evolutionary algorithm, several objective functions are defined to express the goals of the solutions as well as the preferences among them. Some constraints are included as hard objective functions and some are evaluated through a repairing function to avoid infeasible solutions. In the Mathematical Programming approach the multiobjective optimization is solved using the Constraint Method in Mixed Integer Linear Programming. Some constraints of the mathematical model are nonlinear, so they are linearized. The results obtained with both methods for one concrete network are presented. They are compared with a hybrid solution, where we use the results obtained by Mathematical Programming as the seed of the evolutionary algorithm.
ISSN:1673-565X
1862-1775
DOI:10.1631/BF02842471