An overview of multi-parametric programming and control is presented with emphasis on historical milestones, novel developments in the theory of multi-parametric programming and explicit MPC as well as their application to the design of advanced controller for complex multi-scale systems.

This work addresses the topic of constrained dynamic programming for problems involving multi-stage mixed-integer linear formulations with a linear objective function. It is shown that such problems may be decomposed into a series of multi-parametric mixed-integer linear problems, of lower dimensionality, that are sequentially solved to obtain the globally optimal solution of the original probl...

in this paper we propose a simple non-parametric model for multiple crite-ria supplier selection problem. the proposed model does not generate a zeroweight for a certain criterion and ranks the suppliers without solving the modeln times (one linear programming (lp) for each supplier) and therefore allowsthe manager to get faster results. the methodology is illustrated using anexample.

The primal-dual algorithm of parametric linear programming (e.g. {l]) can be extended in some sence to parametric quadratic programming problems as follows. § 1. Problem of the first type Let us consider the following quadratic programming problem PIA with a parameter A. where C is an n X n positive semi-definite matrix, A is an m X n matrix, p and x are n-vectors, and band d are m-vectors. We ...

Parametric regression in genetic programming can substantially speed up the search for solutions. In this paper parametric regression is applied to a minimum-time-to-target problem. The solution is equivalent to the classical brachistochrone. Two formulations were tried: a parametric regression and the classical symbolic regression formulation. The parametric approach was superior under a wide ...

Parametric programming is one of the broadest areas of applied mathematics. Practical problems, that can be described by parametric programming, were recorded in the rock art about thirty millennia ago. As a scientific discipline, parametric programming began emerging only in the 1950’s. In this tutorial we introduce, briefly study, and illustrate some of the elementary notions of parametric pr...

Analysis of execution traces plays a fundamental role in many program analysis approaches, such as runtime verification, testing, monitoring, and specification mining. Execution traces are frequently parametric, i.e., they contain events with parameter bindings. Each parametric trace usually consists of many meaningful trace slices merged together, each slice corresponding to one parameter bind...

In this paper a multi - objective linear fractional programming problem with the fuzzy variables and vector of fuzzy resources is studied and an algorithm based on a parametric approach is proposed. The proposed solving procedure is based on the parametric approach to find the solution, which provides the decision maker with more complete information in line with reality. The simplicity of the ...

The paper deals with convex parametric programming problems. In this paper convex parametric programming transform to a neural network model and then we solve neural network model with one of numerical methods. Finally, simple numerical examples are provided for the sake of illustration. 2006 Elsevier Inc. All rights reserved.