Optimal schedules of periodically recurring events
Discrete Applied Mathematics
Future paths for integer programming and links to artificial intelligence
Computers and Operations Research - Special issue: Applications of integer programming
Cyclic schedules for r irregularly occurring events
Journal of Computational and Applied Mathematics
Discrete Applied Mathematics
Bandwidth packing: a tabu search approach
Management Science
Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem
Annals of Operations Research - Special issue on Tabu search
Modern heuristic techniques for combinatorial problems
Discrete Applied Mathematics
Tabu Search
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
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A cyclic scheduling problem with applications to transport efficiency is considered. Given a set of regular polygons, whose vertices represent regularly occurring events and are lying on a common circle line, the objective is to maximize the distance between the closest vertices of different polygons on the circle line. Lower and upper bounds for the optimal solution of this NP-hard scheduling problem are presented. They are used to improve the quality of a procedure which is applied to solve this problem heuristically. It consists of a greedy starting algorithm and a Tabu Search algorithm. The numerical results show the efficiency of the procedure proposed.