Broadcast Operations and Engineering (7)

Broadcast and Associative Operations on Fat-Trees

This paper analyzes the cost of performing broadcast, product and prefix computation on the ideal fat-tree, a model proposed here to capture distance and bandwidth properties common to a variety of fat-tree networks. Algorithms are developed and analyzed in terms of the capacity of channels at different levels of the fat-tree. Non trivial lower bounds are derived establishing the optimality of ...

Visualising the Entirety of Broadcast Operations

Digital broadcast operations are becoming increasingly complex with more channels, associated “interactive” content and diverse delivery mechanisms. More channels demand more infrastructure. New control and automation tools can construct complex operational configurations. However, with ability to control comes the problem of understanding the configuration. Virtual environment technology can s...

Chapter 7, Operations Research (or)

We assume we have solved the problems (P) and (D), and that we have an optimal basis B ⊆ {1, 2, . . . , n}. Sensitivity analysis then refers to using to the basis B to solve a modified version (P’) and (D’) of the problems (P) and (D) from modified data A, b and c (whenever this information is useful). This is best done by example. Note that, if the optimal basic matrix AB remains unchanged, th...

Girth, minimum degree, independence, and broadcast independence

An independent broadcast on a connected graph $G$is a function $f:V(G)to mathbb{N}_0$such that, for every vertex $x$ of $G$, the value $f(x)$ is at most the eccentricity of $x$ in $G$,and $f(x)>0$ implies that $f(y)=0$ for every vertex $y$ of $G$ within distance at most $f(x)$ from $x$.The broadcast independence number $alpha_b(G)$ of $G$is the largest weight $sumlimits_{xin V(G)}f(x)$of an ind...

7 Antibody Engineering and Expression