Abstract

In this paper a comparison of classical metaheuristic techniques over different sizes of petrochemical blending problems is presented. Three problems are taken from the literature and used for initial comparisons and parameter setting. A fourth instance of real world size is then introduced and the best performing algorithm of each type is then applied to it. Random search techniques, such as blind random search and local random search, deliver fair results for the smaller instances. Within the class of genetic algorithms the best results for all three problems were obtained using ranked fitness assignment with tournament selection. Good results are also obtained by means of continuous tabu search approaches. A simulated annealing approach also yielded fair results. Comparisons of the results for the different approaches shows that the tabu search technique delivers the best results with respect to solution quality and execution time for all of the three smaller problems under consideration. However, simulated annealing delivers the best result with respect to solution quality and execution time for the introduced real world size problem.

Highlights

  • In blending problems the aim is to determine the best blend of available ingredients to form a certain quantity of a product under strict specifications

  • The objective of this study is to present a comparison of the performance of the different types of classical metaheuristics when applied to typical petrochemical blending problems

  • A confidence level of 90% was obtained by calculating the average objective function values for the Blind random search (BRS) after 9, 8 335 and 4 046 algorithm runs for the simplified sample problem (SSP), Haverly pooling problem (HPP) and Marco mini-refinery problem (MMRP), respectively

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Summary

Introduction

In blending problems the aim is to determine the best blend of available ingredients to form a certain quantity of a product under strict specifications. The objective of this study is to present a comparison of the performance of the different types of classical metaheuristics when applied to typical petrochemical blending problems. To the best of the authors’ knowledge, there exists no application or comparison of any metaheuristic approaches to petrochemical blending problems in the academic literature. The comparison of these metaheuristics was chosen because a petrochemical company wanted to know how classical metaheuristic approaches compare with each other and their current methods. The best performing metaheuristics from the previous sections are applied to this instance and the results discussed.

Sample problems
The simplified sample problem
The Haverly pooling problem
The Marco mini-refinery problem
Blind random search
Local random search
Computational results
Genetic algorithms for blending problems
Tabu search approaches
The hypersquare method
The immediate zone method
The CTSh
The CTSz
Comparison of methods
Simulated annealing approaches
A real world size instance
Findings
Conclusion

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