Efficient City-Scale Patrolling Using Decomposition and Grafting

This paper uses an integer program (IP) to formulate the city-scale patrolling (CSP) problem, with the objective of maximizing the police visibility rate (PVR) and the constraint of incident response time guarantee. We decompose the original CSP into two subproblems: minimizing police problem (MinP) and maximizing PVR (MaxP) problem. A polynomial time approximation algorithm is proposed for MinP, and a polynomial time optimal algorithm is proposed for MaxP. We conduct experiments to demonstrate the efficiency of the proposed algorithm.

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