Distributed Computation for Combinatorial Optimization Problems

2010 Fiscal Year Final Research Report

• Project/Area Number: 20500019
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Fundamental theory of informatics
• Research Institution: Aoyama Gakuin University
• Principal Investigator: SUNG ShaoChin Aoyama Gakuin University, 理工学部, 准教授 (80303329)
• Project Period (FY): 2008 – 2010
• Keywords: アルゴリズム理論 / 分散計算

Research Abstract

The objective of this project is to develop parallel and distributed computation techniques for combinatorial optimization problems, including high speed parallel search of dither matrix for producing high quality monochromic images, searching algorithm for stable coalition structures in hedonic coalition formation games, and branch and bound algorithm for maximizing weighted number just-in-time jobs on parallel machines. Based on data obtained from searching experiments on high performance computers, results, including proposal of new measurement for dither matrices, a new domain of games with stable coalition structures, approximation algorithm for parallel machines just-in-time scheduling, are obtained.

Research Products

• [Presentation] Hedonic Coalition Formation in Conservative Societies (2011)
  • Author(s): K. Suzuki, S.C. Sung
  • Organizer: The 6th Pan Pacific Conference on Game Theory
  • Place of Presentation: Tokyo(Japan)
  • Year and Date: 2011-02-28
• [Presentation] Fair Solution for Generalized Housemate Problems (2010)
  • Author(s): Y. Kawamata, Y. Kase, T. Shigezumi, S.C. Sung
  • Organizer: The 13th Czech-Japan Seminar on Data Analysis and Decision Making in Service Science
  • Place of Presentation: Otaru(Japan)
  • Year and Date: 2010-11-05
• [Presentation] A New Requirement for the Dither Method (2010)
  • Author(s): T. Shigezumi, K. Higo, S.C. Sung
  • Organizer: the 13th Czech-Japan Seminar on Data Analysis and Decision Making in Service Science
  • Place of Presentation: Otaru(Japan)
  • Year and Date: 2010-11-05
• [Presentation] Core membership testing for additive hedonic games (2009)
  • Author(s): Y. Kase, K. Suzuki, S.C. Sung
  • Organizer: The 12th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty
  • Place of Presentation: Litomysl (Czech Republic)
  • Year and Date: 2009-09-12
• [Presentation] Essential coalitions for stabilities on hedonic coalition formation games (2009)
  • Author(s): K. Suzuki, S.C. Sung
  • Organizer: EURO Conference in Bonn 2009
  • Place of Presentation: Bonn(Germany)
  • Year and Date: 2009-07-06
• [Presentation] Coalition Formation with Unconcerned Players (2008)
  • Author(s): K. Suzuki, S.C. Sung
  • Organizer: The 11^<th> Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty
  • Place of Presentation: Sendai(Japan)
  • Year and Date: 2008-09-16