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Is it possible to find routes based on polylines?

Question asked by vezione on Mar 8, 2017

I have an area crisscrossed with polylines of known distances. The area is a protected national park and the lines are trails. I want to be able to find the best routes to cover all the trails in a specified amount of time and at a specific speed per day over x number of days. This is for a research project where I will be walking the trails conducting a census. I want to be able to plan my days beforehand. Is this possible to do in Arcmap? How?