Optimal Scheduling for Cancer Radiotherapy

  • N. Carmichael
  • A. J. Pritchard
Conference paper
Part of the Lecture Notes in Medical Informatics book series (LNMED, volume 9)


This paper provides a general framework within which one may pose problems of scheduling for treatment regimes with particular reference to optimality. At present, schedules are derived in a purely heuristic fashion. Our mathematical formulation follows the work of Lions and Bensoussan (1) on stock control in which the system is described by a stochastic differential equation and the controls are of impulsive nature. Such controls change the state of the system at instants and by amounts which are available for choice. The minimization of a performance index leads to optimality criteria which can be formulated in terms of quasivariational inequalities for which numerical methods of solutions have recently been developed. (Goursat and Maarek (2)).


Variational Inequality Performance Index Stochastic Differential Equation Optimal Schedule Impulse Control 
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© Online Conferences Ltd., Uxbridge, England 1981

Authors and Affiliations

  • N. Carmichael
  • A. J. Pritchard

There are no affiliations available

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