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Optimization models and algorithms f...
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Alimirzaei, Athena.
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Optimization models and algorithms for solving sports scheduling problems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Optimization models and algorithms for solving sports scheduling problems./
作者:
Alimirzaei, Athena.
面頁冊數:
139 p.
附註:
Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.
Contained By:
Dissertation Abstracts International75-10B(E).
標題:
Operations Research. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3626224
ISBN:
9781321010916
Optimization models and algorithms for solving sports scheduling problems.
Alimirzaei, Athena.
Optimization models and algorithms for solving sports scheduling problems.
- 139 p.
Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.
Thesis (Ph.D.)--Southern Methodist University, 2013.
This item must not be sold to any third party vendors.
Many believe that the establishment of team sports and sports leagues originated in Europe. This development ushered in a new field of mathematical inquiry known as sports scheduling. This area has provided the mathematics community with a multitude of interesting combinatorial optimization problems. The field is a simulating mix of theory and practical application. Many of these problems are based on the single round robin tournament where each team plays every other team exactly once. However, for a given number of teams, there are many possible round robin tournaments with matches between every pair of teams but in different time slots. Therefore, different criteria have been suggested to evaluate the fairness or merit of a given tournament. Different optimization models and algorithms for solving sports scheduling problems are presented in this investigation.
ISBN: 9781321010916Subjects--Topical Terms:
626629
Operations Research.
Optimization models and algorithms for solving sports scheduling problems.
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Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.
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Adviser: Jeffery Kennington.
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Many believe that the establishment of team sports and sports leagues originated in Europe. This development ushered in a new field of mathematical inquiry known as sports scheduling. This area has provided the mathematics community with a multitude of interesting combinatorial optimization problems. The field is a simulating mix of theory and practical application. Many of these problems are based on the single round robin tournament where each team plays every other team exactly once. However, for a given number of teams, there are many possible round robin tournaments with matches between every pair of teams but in different time slots. Therefore, different criteria have been suggested to evaluate the fairness or merit of a given tournament. Different optimization models and algorithms for solving sports scheduling problems are presented in this investigation.
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Different procedures and optimization models such as constructive procedures, the latin square procedure, Trick's constraint-programming model, a new constraint-programming model, and a new integer-programming model for obtaining a single round robin tournament are presented and surveyed in Chapter 2 of this dissertation. Then, optimization models and algorithms for creating single round robin schedules with minimum carry-over effects are investigated in Chapter 3. In Chapter 4, optimization models and algorithms for obtaining single round robin schedules with minimum number of breaks are discussed. In Chapter 5, new models for creating a schedule while both carry-over effects and breaks are minimized simultaneously are introduced. In the last chapter, creating schedules for recreational sports leagues on-line with several constraints and multiple objective functions are considered.
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