An optimal W1.5N 1ร2 X lower bound is shown for oblivious routing on the mesh of buses: a two-dimensional parallel model consisting of N 1ร2 \_N 1ร2 processors and N 1ร2 row and N 1ร2 column buses but no local connections between neighboring processors. Many lower bound proofs for routing on mesh-st
Routing Problems on the Mesh of Buses
โ Scribed by Kazuo Iwama; Eiji Miyano; Yahiko Kambayashi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 175 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
โฆ Synopsis
The mesh of buses MBUSs is a parallel computation model which consists of n = n processors, n row buses, and n column buses, but no local connections between neighboring processors. An n lower bound for the permutation routing on this model is shown. The proof does not depend on common predetermined assumptions such as ''if a packet has to move horizontally then it has to ride on a horizontal bus at least once.'' As for upper bounds, a 1.5n algorithm is shown.
๐ SIMILAR VOLUMES
Routing with locality is studied for meshes with buses. In this problem, packets' distances are bounded by a value, d, which is less than the diameter of the network. This problem arises naturally when specific known algorithms are implemented on meshes. Solving this problem in ordinary meshes requi
An adaptive routing algorithm is one in which the path a packet takes from its source to its destination may depend on other packets it encounters. Such algorithms potentially avoid network bottlenecks by routing packets around ''hot spots.'' Minimal adaptive routing algorithms have the additional a
Reconfigurable bus-based models of parallel computation have been shown to be extremely powerful, capable of solving several problems in constant time that require nonconstant time on conventional models such as the PRAM. The primary source of the power of reconfigurable bus-based models is their ab