NDLI: Parallel processor scheduling with delay constraints

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Combinatorial approximation algorithms for the maximum directed cut problem

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Tree packing and approximating k-cuts

Generating well-shaped Delaunay meshed in 3D

Approximation algorithms for TSP with neighborhoods in the plane

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Robust algorithms for restricted domains

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Colored Tutte polynomials and Kaufman brackets for graphs of bounded tree width

A new constructive root bound for algebraic expressions

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New approaches to covering and packing problems

Parallel processor scheduling with delay constraints

Approximation algorithms for extensible bin packing

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Morphing between polylines

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The phase transition in 1-in-k SAT and NAE 3-SAT

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Single-source shortest-paths on arbitrary directed graphs in linear average-case time

Optimal constrained graph exploration

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Finding least common ancestors in directed acyclic graphs

On binary searching with non-uniform costs

Soft kinetic data structures

Testing graphs for colorable properties

Random lifts of graphs

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On universally easy classes for NP-complete problems

The diameter of random massive graphs

Domatic partitions and the Lovász local lemma

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On the discrete Bak-Sneppen model of self-organized criticality

Parallel processor scheduling with delay constraints

Content Provider	ACM Digital Library
Author	Ruhl, Matthias Karger, David R. Feldman, Jon Engels, Daniel W.
Abstract	We consider the problem of scheduling unit-length jobs on identical parallel machines such that the makespan of the resulting schedule is minimized. Precedence constraints impose a partial order on the jobs, and both communication and precedence delays impose relative timing constraints on dependent jobs. The combination of these two types of timing constraints naturally models the instruction scheduling problem that occurs during software compilation for state-of-the-art VLIW (Very Long Instruction Word) processors and multiprocessor parallel machines.We present the first known polynomial-time algorithm for the case where the precedence constraint graph is a forest of in-trees (or a forest of out-trees), the number of machines m is fixed, and the delays (which are a function of both the job pair and the machines on which they run) are bounded by a constant D.Our algorithm relies on a new structural theorem for scheduling jobs with arbitrary precedence constraints. Given an instance with many independent dags, the theorem shows how to convert, in linear time, a schedule S for only the largest dags into a complete schedule that is either optimal or has the same makespan as S.
Starting Page	577
Ending Page	585
Page Count	9
File Format	PDF
ISBN	0898714907
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2001-01-09
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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