Abstract: In this paper, we introduce a novel first-order dual gradient algorithm for solving network utility maximization problems that arise in resource allocation schemes over networks with ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

# Set up your simplex tableau here. Set vector v below to all the entries in the matrix starting at (1,1) and move down # the columns as you enter all values. For example, the first three entries ...

ABSTRACT: In this work, a new method is presented for determining the binding constraints of a general linear maximization problem. The new method uses only objective function values at points which ...

Mechanical engineers at the University of Sheffield have developed a new way of determining the internal structure and health of batteries that power many of the electronic devices and vehicles at the ...

Once again, California is showing us the future — and it’s wracked with labor strife, high prices, government bloat and abject failure. And nowhere is this more apparent than in California’s ...