Student-project-resource allocation: Complexity of the symmetric case

Anisse Ismaili, Tomoaki Yamaguchi, Makoto Yokoo

研究成果: 著書/レポートタイプへの貢献会議での発言

1 引用 (Scopus)

抜粋

In this paper, we consider a student-project-resource allocation problem, in which students and indivisible resources are allocated to every project. The allocated resources determine endogenously the student capacity of a project. Traditionally, this problem is divided in two: (I) resources are allocated to projects based on expected demands (resource allocation problem), and (II) students are matched with projects based on the capacity determined in the previous problem (many-to-one matching problem). Although both problems are well-understood, unless the expectations used in the first problem are correct, we obtain a suboptimal outcome. Thus, it is desirable to solve this problem as a whole, without dividing it. We start by introducing a compact representation that takes advantage of the symmetry of preferences. Then, we show that computing a nonwasteful matching is FPNP -complete. Besides, a fair matching can be found in polynomial-time. Finally, deciding whether a stable (i.e. nonwasteful and fair) matching exists is NPNP -complete.

元の言語英語
ホスト出版物のタイトルPRIMA 2018
ホスト出版物のサブタイトルPrinciples and Practice of Multi-Agent Systems - 21st International Conference, 2018, Proceedings
編集者Nir Oren, Yuko Sakurai, Itsuki Noda, Tran Cao Son, Tim Miller, Bastin Tony Savarimuthu
出版者Springer Verlag
ページ226-241
ページ数16
ISBN(印刷物)9783030030971
DOI
出版物ステータス出版済み - 1 1 2018
イベント21st International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2018 - Tokyo, 日本
継続期間: 10 29 201811 2 2018

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
11224 LNAI
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他21st International Conference on Principles and Practice of Multi-Agent Systems, PRIMA 2018
日本
Tokyo
期間10/29/1811/2/18

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Ismaili, A., Yamaguchi, T., & Yokoo, M. (2018). Student-project-resource allocation: Complexity of the symmetric case. : N. Oren, Y. Sakurai, I. Noda, T. Cao Son, T. Miller, & B. T. Savarimuthu (版), PRIMA 2018: Principles and Practice of Multi-Agent Systems - 21st International Conference, 2018, Proceedings (pp. 226-241). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 11224 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-030-03098-8_14