Pavlos S. Efraimidis, Paul Spirakis

The problem of Scheduling $n$ Independent Jobs

on $m$ Unrelated Parallel Machines, when $m$

is fixed, is considered. The standard problem

of minimizing the makespan of the schedule

(SUM) and the bicriteria problem of scheduling

with bounded makespan and cost (SUMC), are

addressed, and randomized fully linear time

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Andreas Jakoby, Maciej Liskiewicz, RĂ¼diger Reischuk

A model for parallel and distributed programs, the dynamic process graph (DPG),

is investigated under graph-theoretic and complexity aspects.

Such graphs embed constructors for parallel programs,

synchronization mechanisms as well as conditional branches.

They are capable of representing all possible executions of a

parallel or distributed program ...
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Chandra Chekuri, Sanjeev Khanna

We present the first approximation schemes for minimizing weighted flow time

on a single machine with preemption. Our first result is an algorithm that

computes a $(1+\eps)$-approximate solution for any instance of weighted flow

time in $O(n^{O(\ln W \ln P/\eps^3)})$ time; here $P$ is the ratio ...
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Andreas Jakoby, Maciej Liskiewicz, RĂ¼diger Reischuk

In parallel and distributed computing scheduling low level tasks

on the available hardware is a fundamental problem.

Traditionally, one has assumed that the set of tasks to be executed

is known beforehand.

Then the scheduling constraints are given by a precedence graph.

Nodes represent the elementary tasks ...
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Alexis Kaporis, Efpraxia Politopoulou, Paul Spirakis

Consider a system M of parallel machines, each with a strictly increasing and differentiable load dependent latency function. The users of such a system are of infinite number and act selfishly, routing their infinitesimally small portion of the total flow r they control, to machines of currently minimum delay. It ... more >>>