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Parameter optimization for agile beam radar tracking is considered to minimize radar resources that are required to maintain a target under track. The parameters to be optimized include the track-revisit interval as well as the sequence of pairs of target signal strengths and detection thresholds associated with successive illumination attempts in each track-revisit. The cost to be minimized is the radar energy resources required per unit time over a given number of track-revisits. This formulation is compared to the optimization problem where the cost is the total radar resources required over a specified tracking period.