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Parametric programming

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This sandbox is in the article namespace. Either move this page into your userspace, or remove the {{User sandbox}} template. Parametric Programming denotes a type of mathematical programming, where the optimization problem is solved as a function of one or multiple parameters.[1] Developed in parallel to sensitivity analysis, its earliest mention can be found in a master thesis from 1952[2] Since then, there have been considerable developments for the cases of multiple parameters, presence of integer variables as well as nonlinearities. In particular the connection between parametric programming and model-predictive control established in 2002 has contributed to an increased interest in the topic.[3]


References

  1. ^ Tomas Gal. Postoptimal analyses, parametric programming, and related topics: Degeneracy, multicriteria decision making, redundancy. Berlin : W. de Gruyter, 1995.
  2. ^ T Gal, H.J. Greenberg Advances in Sensitivity Analysis and Parametric Programming. Springer, 1997.
  3. ^ Bemporad, Alberto; Morari, Manfred; Dua, Vivek; Pistikopoulos, Efstratios N. (2002) The explicit linear quadratic regulator for constrained systems. Automatica, 38 (1), 3-20.

Parametric Programming