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Methodology as Ideology : Mathematical Modeling of Trench Warfare

Gelman, Andrew - 2007

misapplication of game theory …

Persistent link: https://www.econbiz.de/10014224529

The Erosion of Well-Being : A Heuristic Mathematical Model

Thron, Chris - 2015

This paper presents a heuristic mathematical model of the evolution over time in the statistical distribution of well-being of individuals in a society. The model predicts that when individuals overvalue the more overtly conspicuous aspects of well-being in their lifestyle choices, then the...

Persistent link: https://www.econbiz.de/10014133838

Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors : A Mathematical Approach to the Antiangiogenic Hypothesis

Wein, Lawrence M.; Ergun, Ayla; Camphausen, Kevin - 2007

We incorporate a previously validated mathematical model of a vascularized tumor into an optimal control problem to determine the temporal scheduling of radiotherapy and angiogenic inhibitors that maximizes the control of a primary tumor. Our results reveal that optimal antiangiogenic...

Persistent link: https://www.econbiz.de/10014121910

Smoothing Techniques in Euclidean Jordan Algebras

Baes, Michel - 2008

We extend the powerful smoothing techniques of Yu. Nesterov to the framework of Euclidean Jordan algebras. This study allows us to design a new scheme for minimizing the largest eigenvalue of an affine function on a Euclidean Jordan algebra. We prove that its complexity is in the order of O...

Persistent link: https://www.econbiz.de/10014057160

On an Extension of Condition Number Theory to Non-Conic Convex Optimization

Freund, Robert M.; Ordonez, Fernando - 2003

The purpose of this paper is to extend, as much as possible, the modern theory of condition numbers for conic convex … the conic format has been essential to recent theoretical developments in convex optimization theory (particularly … number theory. Herein we extend the modern theory of condition numbers to the problem format (GP_d). As a byproduct, we are …

Persistent link: https://www.econbiz.de/10014031173

On the Primal-Dual Geometry of Level Sets in Linear and Conic Optimization

Freund, Robert M. - 2001

For a conic optimization problem: minimize c*x subject to Ax=b, x in C, we present a geometric relationship between the maximum norms of the level sets of the primal and the inscribed sizes of the level sets of the dual (or the other way around)

Persistent link: https://www.econbiz.de/10014034782

Optimal Harvesting of a Renewable Resource : A Mathematical Model

Sarkar, Sudipto - 2014

This paper derives the optimal harvesting policy for a renewable natural resource using a real-option model. The harvesting policy is illustrated using the well-known “tree-cutting” or “optimal rotation” problem from Forest Economics. We show how to identify the optimal tree size at...

Persistent link: https://www.econbiz.de/10014036912

A Framework of Conjugate Direction Methods for Symmetric Linear Systems in Optimization

Fasano, Giovanni - 2014

In this paper we introduce a parameter dependent class of Krylov-based methods, namely CD, for the solution of symmetric linear systems. We give evidence that in our proposal we generate sequences of conjugate directions, extending some properties of the standard Conjugate Gradient (CG) method,...

Persistent link: https://www.econbiz.de/10014037832

On Solving Some Stochastic Discrete Optimization Problems Under General Regret Function

Das, Shubhabratha; Ghosh, Diptesh; Mandal, Pranab - 2012

In this paper we consider stochastic discrete optimization problems (DOP) in which feasible solutions remain feasible irrespective of the randomness of the problem parameters. We introduce the concept of the risk associated with a solution and define optimal solution in terms of having least...

Persistent link: https://www.econbiz.de/10014040146

Homotopy Perturbation Method for Solving Mathematical Model of Novel Coronavirus Differential Equations

Dhariwal, Monika; Fatima, Nahid - 2020

In this research work we apply the Homotopy Perturbation Method (HPM) to solve the Three-dimensional mathematical model of Novel Coronavirus differential equation, which is applied to investigate the transmittal dynamics Novel Coronavirus infection in public. We have got the solution which has...

Persistent link: https://www.econbiz.de/10014095993