Monash University

Solving linear equations and inequalities

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...
Scientific Research Publishing

G. B. Dantzig, “Maximization of a Linear Function of Variables Subject to Linear Inequalities,” In: T. C. Koopmans, Ed., Activity Analysis of Production and Allocation ...

ABSTRACT: This work formulates and implements a mathematical optimization program to assist water managers with water allocation and banking decisions to meet demands. Linear programming is used to ...
JSTOR Daily

Inequalities for Linear Combinations of Gamma Random Variables

The Canadian Journal of Statistics / La Revue Canadienne de Statistique We study the behavior of the tail probabilities of weighted averages of certain independently and identically distributed random ...
IEEE

Estimation and filtering of Gaussian variables with linear inequality constraints

Abstract: In practice, a parameter or the state of a system is often subject to constraints. This paper considers the estimation problem for the parameter or the state constrained by a class of linear ...
Scientific Research Publishing

Dantzig, G.B. (1951) Maximization of a Linear Function of Variables Subject to Linear Inequalities. In: Koopmans, T.C., Ed., Activity Analysis of Production and Allocation ...

ABSTRACT: This paper presents a new dimension reduction strategy for medium and large-scale linear programming problems. The proposed method uses a subset of the original constraints and combines two ...