A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
Home-Away Assignment problems are naturally cast as quadraticpro gramming models in binary variables. In this work we compare alternative formulations for this kind of problems. First, write a quadratic programming formulation with linear constraints, and then a quadratically constrained version. W...
| 发表在: | Trends in Computational and Applied Mathematics |
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| Main Authors: | , , |
| 格式: | 文件 |
| 语言: | 英语 |
| 出版: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2018-12-01
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| 主题: | |
| 在线阅读: | https://tcam.sbmac.org.br/tema/article/view/1189 |
| _version_ | 1850335787255595008 |
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| author | Hugo José Lara Abel Soares Siqueira Jinyun Yuan |
| author_facet | Hugo José Lara Abel Soares Siqueira Jinyun Yuan |
| author_sort | Hugo José Lara |
| collection | DOAJ |
| container_title | Trends in Computational and Applied Mathematics |
| description |
Home-Away Assignment problems are naturally cast as quadraticpro gramming models in binary variables. In this work we compare alternative formulations for this kind of problems. First,
write a quadratic programming formulation with linear constraints, and then a quadratically constrained version. We also propose another formulation by manipulating their special structure to obtain versions with 1/4 of the original size. The quadratic programming formulations leads to semidefinite relaxations, which allows us to approximately solve the models. We compare our SDP relaxation with the MIN-RES-CUT based formulation. Numerical experiments exhibit the characteristics of each model.
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| format | Article |
| id | doaj-art-65d8bc10f67f44e9b0d55d5dcfd2eac2 |
| institution | Directory of Open Access Journals |
| issn | 2676-0029 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sociedade Brasileira de Matemática Aplicada e Computacional |
| record_format | Article |
| spelling | doaj-art-65d8bc10f67f44e9b0d55d5dcfd2eac22025-08-19T23:16:19ZengSociedade Brasileira de Matemática Aplicada e ComputacionalTrends in Computational and Applied Mathematics2676-00292018-12-0119310.5540/tema.2018.019.03.471A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport SchedulingHugo José Lara0Abel Soares Siqueira1Jinyun Yuan2Universidade Federal de Santa Catarina- Blumenau- BrasilDepartment of Mathematics, Federal University of ParanaDepartment of Mathematic. Federal University of Parana Home-Away Assignment problems are naturally cast as quadraticpro gramming models in binary variables. In this work we compare alternative formulations for this kind of problems. First, write a quadratic programming formulation with linear constraints, and then a quadratically constrained version. We also propose another formulation by manipulating their special structure to obtain versions with 1/4 of the original size. The quadratic programming formulations leads to semidefinite relaxations, which allows us to approximately solve the models. We compare our SDP relaxation with the MIN-RES-CUT based formulation. Numerical experiments exhibit the characteristics of each model. https://tcam.sbmac.org.br/tema/article/view/1189Sports schedulingInteger quadratic programming. Semidefinite programming. |
| spellingShingle | Hugo José Lara Abel Soares Siqueira Jinyun Yuan A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling Sports scheduling Integer quadratic programming. Semidefinite programming. |
| title | A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling |
| title_full | A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling |
| title_fullStr | A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling |
| title_full_unstemmed | A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling |
| title_short | A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling |
| title_sort | reduced semidefinite programming formulation for ha assignment problems in sport scheduling |
| topic | Sports scheduling Integer quadratic programming. Semidefinite programming. |
| url | https://tcam.sbmac.org.br/tema/article/view/1189 |
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