Solving SOP with SA, GRASP, Tabu Search algorithms.
The Sequential Ordering Problem (SOP) with precedence constraints consists of finding a minimum weight Hamiltonian path on a directed graph with weights on the arcs and on the nodes, subject to precedence constraints among nodes.
TSPLIB is a library of sample instanes for the TSP (and related problems) from various soures and of various types. Instanes of the following problem classes are available:
All the algorithms are designed base on the Lexicographic Search using forwarding and back warding path-preserving-3-exchange as explained in An Ant Colony System Hybridized with a New Local Search for the Sequential Ordering Problem paper.
Just go to related algorithm directory and run the python code. example:
cd ./SA python main.py
All results and comparing analyze are presented in Report.pdf files. overal algorithms comparisons result is as follow:
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