With prison, jail, and probation caseloads overloaded, financial penalties appeal as alternative sanctions. Using probation data for cases sentenced in municipal courts, this paper presents regression analyses suggesting that judges tended to employ rational discretion in imposing economic sanctions, for monetary assessments without jail were most likely to be given to low‐risk offenders and assignment of probation alone and jail terms was most strongly influenced by offense. The amount of the financial sanction was also significantly related to the type of crime. Controlling for individual attributes and offense, the odds of subsequent arrest and incarceration were significantly less for those given a financial penalty than for those receiving a jail sentence.
One of the most widely studied problems of the intensity-modulated radiation therapy (IMRT) treatment planning problem is the fluence map optimization (FMO) problem, the problem of determining the amount of radiation intensity, or fluence, of each beamlet in each beam. For a given set of beams, the fluences of the beamlets can drastically affect the quality of the treatment plan, and thus it is critical to obtain good fluence maps for radiation delivery. Although several approaches have been shown to yield good solutions to the FMO problem, these solutions are not guaranteed to be optimal. This shortcoming can be attributed to either optimization model complexity or properties of the algorithms used to solve the optimization model. We present a convex FMO formulation and an interior point algorithm that yields an optimal treatment plan in seconds, making it a viable option for clinical applications.
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