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Theory of Computing Systems

, Volume 57, Issue 3, pp 753–781 | Cite as

Copula-based Randomized Mechanisms for Truthful Scheduling on Two Unrelated Machines

  • Xujin ChenEmail author
  • Donglei Du
  • Luis F. Zuluaga
Article

Abstract

We design a Copula-based generic randomized truthful mechanism for scheduling on two unrelated machines with approximation ratio within [1.5852,1.58606], offering an improved upper bound for the two-machine case. Moreover, we provide an upper bound 1.5067711 for the two-machine two-task case, which is almost tight in view of the known lower bound of 1.506 for the scale-free truthful mechanisms. Of independent interest is the explicit incorporation of the concept of Copula in the design and analysis of the proposed approximation algorithm. We hope that techniques like this one will also prove useful in solving other related problems in the future.

Keywords

Algorithmic mechanism design Random mechanism Copula Truthful scheduling 

Notes

Acknowledgements

This work was done while Xujin Chen was visiting Faculty of Business Administration, University of New Brunswick. Xujin Chen was supported in part by NNSF of China (11222109), NSERC grants (283103, 290377) and CAS Program for Cross & Cooperative Team of Science & Technology Innovation. Donglei Du was supported in part by NSERC grant 283106.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Institute of Applied Mathematics, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.Faculty of Business AdministrationUniversity of New BrunswickFrederictonCanada
  3. 3.Department of Industrial and Systems EngineeringLehigh UniversityBethlehemUSA

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