In this paper, we propose a heuristic algorithm for solving node inclusion routing problem with additive constraints for the first time. The node inclusion routing problem is significant while a demand need to by-pass several domains and some boundary routers are assigned to be appeared in the route. The integer linear programming model is presented. Two other heuristic algorithms are evaluated. The results show that our heuristic algorithm is more effective with lower trap ratio and very close to the optimal result.
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