Assignment problem with preference and an efficient solution method without dissatisfaction

Kengo Saito, Toshiharu Sugawara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

We formulate an assignment problem-solving framework called singleobject resource allocation with preferential order (SORA/PO) to incorporate values of resources and individual preferences into assignment problems. We then devise methods to find semi-optimal solutions for SORA/PO problems. The assignment, or resource allocation, problem is a fundamental problem-solving framework used in a variety of recent network and distributed applications. However, it is a combinatorial problem and has a high computational cost to find the optimal solution. Furthermore, SORA/PO problems require solutions in which participating agents express no or few dissatisfactions on the basis of the relationship between relative values and the agents’ preference orders. The algorithms described herein can efficiently find a semi-optimal solution that is satisfactory to almost all agents even though its sum of values is close to that of the optimal solution. We experimentally evaluate our methods and the derived solutions by comparing them with tho optimal solutions calculated by CPLEX. We also compare the running times for the solution obtained by these methods.

Original languageEnglish
Title of host publicationAgent and Multi-Agent Systems
Subtitle of host publicationTechnology and Applications - 10th KES International Conference, KES-AMSTA 2016, Proceedings
EditorsGordan Jezic, Lakhmi C. Jain, Yun-Heh Jessica Chen-Burger, Robert J. Howlett, Lakhmi C. Jain, Lakhmi C. Jain
PublisherSpringer Science and Business Media Deutschland GmbH
Pages33-44
Number of pages12
ISBN (Print)9783319398822
DOIs
Publication statusPublished - 2016
Event10th KES International Conference on Agent and Multi-Agent Systems: Technology and Applications, KES-AMSTA 2016 - Puerto de la Cruz, Tenerife, Spain
Duration: 2016 Jun 152016 Jun 17

Publication series

NameSmart Innovation, Systems and Technologies
Volume58
ISSN (Print)2190-3018
ISSN (Electronic)2190-3026

Other

Other10th KES International Conference on Agent and Multi-Agent Systems: Technology and Applications, KES-AMSTA 2016
CountrySpain
CityPuerto de la Cruz, Tenerife
Period16/6/1516/6/17

Keywords

  • Assignment problem
  • Cardinal and ordinal values
  • Preference
  • Resource allocation problem

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Computer Science(all)

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