Geometry of the Gass-Saaty parametric cost LP algorithm

Strong polynomiality of the Gass-Saaty shadow-vertex pivoting rule for controlled random walks

We consider the subclass of linear programs that formulate Markov Decision Processes (mdps). We show that the Simplex algorithm with the GassSaaty shadow-vertex pivoting rule is strongly polynomial for a subclass of mdps, called controlled random walks (CRWs); the running time is O(|S| · |U |), where |S| denotes the number of states and |U | denotes the number of actions per state. This result ...

Geometry of total variation regularized Lp-model

Saaty method pdf

The Analytic Hierarchy Process AHP is a theory of measurement. Reference to this paper should be made as follows: Saaty, T.L. Decision.The Analytic Hierarchy Process AHP is due to Saaty 1980 and is often referred to, eponymously, as the Saaty method. It is popular and widely used.The Saatys method dealt with consistency of the pairwise comparison matrix. A consistent matrix mean e.g. if the dec...

A Probabilistic Approach to the Geometry of the lp Ball

This article investigates, by probabilistic methods, various geometric questions on B p , the unit ball of l p . We propose realizations in terms of independent random variables of several distributions on B p , including the normalized volume measure. These representations allow us to unify and extend the known results of the sub-independence of coordinate slabs in B p . As another application...

Saaty ahp pdf

Decision.The Analytic Hierarchy Process AHP, introduced by Thomas Saaty 1980, is an. Synthesizing the results, the AHP helps to capture both subjective and.Saaty The AHP: How to make a decision properties or features of the alternatives being compared, and the alternatives themselves are gradually layered in the.INTRODUCTION. The Analytic Hierarchy Process AHP is due to Saaty 1980 and is often ...