TY - BOOK

T1 - Three, four, five, six or the complexity of scheduling with communication delays

AU - Hoogeveen, J.A.

AU - Lenstra, J.K.

AU - Veltman, B.

PY - 1993

Y1 - 1993

N2 - A set of unit·time tasks has to be processed on identical parallel processors subject to precedence constraints and unit·time communication delays; doesthere exist aschedule of length at most d? The problem has two variants, depending on whether the number of processors is restrictively small or not. For the first variant the question can be answered in polynomial time for d=3 and is NP-complete for d=4. The second variant is solvable in polynomial time for d=5 and NP-complete for d=6. As a consequence, neither of the corresponding optimization problems has a polynomial approximation scheme, unless P=NP.
Key Words & Phrases: Identical parallel processors, precedence constraints, communication delays, makespan, complexity, approximation.

AB - A set of unit·time tasks has to be processed on identical parallel processors subject to precedence constraints and unit·time communication delays; doesthere exist aschedule of length at most d? The problem has two variants, depending on whether the number of processors is restrictively small or not. For the first variant the question can be answered in polynomial time for d=3 and is NP-complete for d=4. The second variant is solvable in polynomial time for d=5 and NP-complete for d=6. As a consequence, neither of the corresponding optimization problems has a polynomial approximation scheme, unless P=NP.
Key Words & Phrases: Identical parallel processors, precedence constraints, communication delays, makespan, complexity, approximation.

M3 - Report

T3 - Memorandum COSOR

BT - Three, four, five, six or the complexity of scheduling with communication delays

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -