Parallelization of Ant System for GPU under the PRAM Model


  • Andrej Brodnik UP FAMNIT, 6000 Koper
  • Marko Grgurovič UP FAMNIT, 6000 Koper


Parallel random access machine, graphics processing unit, ant system, metaheuristics, traveling salesman problem, combinatorial optimizationing unit, combinatorial optimization


We study the parallelized ant system algorithm solving the traveling salesman problem on n cities. First, following the series of recent results for the graphics processing unit, we show that they translate to the PRAM (parallel random access machine) model. In addition, we develop a novel pheromone matrix update method under the PRAM CREW (concurrent-read exclusive-write) model and translate it to the graphics processing unit without atomic instructions. As a consequence, we give new asymptotic bounds for the parallel ant system, resulting in step complexities O(n łg łg n) on CRCW (concurrent-read concurrent-write) and O(n łg n) on CREW variants of PRAM using n2 processors in both cases. Finally, we present an experimental comparison with the currently known pheromone matrix update methods on the graphics processing unit and obtain encouraging results.


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How to Cite

Brodnik, A., & Grgurovič, M. (2018). Parallelization of Ant System for GPU under the PRAM Model. COMPUTING AND INFORMATICS, 37(1), 229–243. Retrieved from