Traveling salesperson problems for a double integrator
This technical note studies the following version of the Traveling Salesperson Problem (TSP) for a double integrator with bounded velocity and bounded control inputs: given a set of points in Ropf[superscript d], find the fastest tour over the point set. We first give asymptotic bounds on the time t...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Electrical and Electronics Engineers
2010
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/53585 https://orcid.org/0000-0002-0505-1400 |
| Summary: | This technical note studies the following version of the Traveling Salesperson Problem (TSP) for a double integrator with bounded velocity and bounded control inputs: given a set of points in Ropf[superscript d], find the fastest tour over the point set. We first give asymptotic bounds on the time taken to complete such a tour in the worst case. Then, we study a stochastic version of the TSP for a double integrator in Ropf[superscript 2] and Ropf[superscript 3], where we propose novel algorithms that asymptotically perform within a constant factor of the optimal strategy with probability one. Lastly, we study a dynamic TSP in Ropf[superscript 2] and Ropf[superscript 3] , where we propose novel stabilizing algorithms whose performances are within a constant factor from the optimum. |
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