On-Line Load Balancing for Related Machines

Piotr Berman; Moses Charikar; Marek Karpinski

doi:10.1006/jagm.1999.1070

On-Line Load Balancing for Related Machines

Piotr Berman, Moses Charikar, Marek Karpinski

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We consider the problem of scheduling permanent jobs on related machines in an on-line fashion. We design a new algorithm that achieves the competitive ratio of 3 + √8 ≈ 5.828 for the deterministic version, and 3.31/ln 2.155 ≈ 4.311 for its randomized variant, improving the previous competitive ratios of 8 and 2e ≈ 5.436. We also prove lower bounds of 2.4380 on the competitive ratio of deterministic algorithms and 1.8372 on the competitive ratio of randomized algorithms for this problem.

Original language	English (US)
Pages (from-to)	108-121
Number of pages	14
Journal	Journal of Algorithms
Volume	35
Issue number	1
DOIs	https://doi.org/10.1006/jagm.1999.1070
State	Published - Apr 2000

All Science Journal Classification (ASJC) codes

Control and Optimization
Computational Mathematics
Computational Theory and Mathematics

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10.1006/jagm.1999.1070

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title = "On-Line Load Balancing for Related Machines",

abstract = "We consider the problem of scheduling permanent jobs on related machines in an on-line fashion. We design a new algorithm that achieves the competitive ratio of 3 + √8 ≈ 5.828 for the deterministic version, and 3.31/ln 2.155 ≈ 4.311 for its randomized variant, improving the previous competitive ratios of 8 and 2e ≈ 5.436. We also prove lower bounds of 2.4380 on the competitive ratio of deterministic algorithms and 1.8372 on the competitive ratio of randomized algorithms for this problem.",

author = "Piotr Berman and Moses Charikar and Marek Karpinski",

note = "Funding Information: 2Supported by Stanford School of Engineering Groswith Fellowship, an ARO MURI Grant DAAH04-96-1-0007 and NSF Award CCR-9357849, with matching funds from IBM, Schlumberger Foundation, Shell Foundation, and Xerox Corporation. E-mail: moses@ cs.stanford.edu. Funding Information: 3Partially supported by the DFG Grant KA 673 4-1, by the ESPRIT BR Grants 7097, 21726, EC-US 030, and by the Max-Planck Research Prize. E-mail: marek@cs.uni.bonn.de.",

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AB - We consider the problem of scheduling permanent jobs on related machines in an on-line fashion. We design a new algorithm that achieves the competitive ratio of 3 + √8 ≈ 5.828 for the deterministic version, and 3.31/ln 2.155 ≈ 4.311 for its randomized variant, improving the previous competitive ratios of 8 and 2e ≈ 5.436. We also prove lower bounds of 2.4380 on the competitive ratio of deterministic algorithms and 1.8372 on the competitive ratio of randomized algorithms for this problem.

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On-Line Load Balancing for Related Machines

Abstract

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