The Minimization of the Quadratic Mean of an Integral Dose

Jose L. Martinez-Morales ()
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Jose L. Martinez-Morales: Autonomous National University of Mexico

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 2, No 11, 513-519

Abstract: Abstract In this work, we define the optimal dose as a combination of the projections on orthogonal axes of the absorbed dose and an integer multiple of the integral dose. Here, we show that such optimal dose minimizes the mean square of the total absorbed dose subject to certain conditions of integration. We prove that there is a unique minimizer.

Keywords: Integral dose; Quadratic mean; Minimization (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0153-z

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