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Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
Authors:Leah Epstein\thanks{School of Computer Science  The Interdisciplinary Center  Herzliya  Israel lea@idcacil and Jiri Sgall
Affiliation:(1) School of Computer Science, The Interdisciplinary Center, Herzliya, Israel;(2) Mathematical Institute, AS CR, Zitná 25, CZ-11567 Praha 1, Czech Republic
Abstract:We give a polynomial approximation scheme for the problem of scheduling on uniformly related parallel machines for a large class of objective functions that depend only on the machine completion times, including minimizing the lp norm of the vector of completion times. This generalizes and simplifies many previous results in this area.
Keywords:Scheduling  Approximation algorithms  Parallel machines  Machine completion time  Polynomial time approximation scheme
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