Competitive Algorithms for the On-line Traveling Salesman
نویسندگان
چکیده
In this paper the problem of eeciently serving a sequence of requests that are presented in a metric space in an on-line fashion and then returning back to the departure point is considered. The problem, that is the on-line version of a variant of the Traveling Salesman Problem (namely the Vehicle Routing Problem with release times), and that for the sake of intuition we call On-Line Traveling Salesman Problem (OLTSP), has a variety of relevant applications in logistics and robotics. After proving a 1:64 lower bound on the competitive ratio that can be achieved by on-line algorithms for OLTSP, two competitive algorithms are shown, one of which is 2-competitive and works for any metric space. The second one allows to achieve a nearly optimal competitive ratio of 1.75 on the real line.
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