A polynomial-time algorithm to find an equitable home-away assignment

نویسندگان

  • Ryuhei Miyashiro
  • Tomomi Matsui
چکیده

We propose a polynomial-time algorithm to find an equitable home–away assignment for a given timetable of a round-robin tournament. Our results give an answer to a problem raised by Elf et al. (Oper. Res. Lett. 31 (2003) 343), which concerns the computational complexity of the break minimization problem in sports timetabling. © 2004 Elsevier B.V. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parallelizing Assignment Problem with DNA Strands

Background:Many problems of combinatorial optimization, which are solvable only in exponential time, are known to be Non-Deterministic Polynomial hard (NP-hard). With the advent of parallel machines, new opportunities have been emerged to develop the effective solutions for NP-hard problems. However, solving these problems in polynomial time needs massive parallel machines and ...

متن کامل

The Home-away Assignment Problems and Break Minimization/maximization Problems in Sports Scheduling

Suppose that we have a timetable of a round-robin tournament with a number of teams, and distances between their homes. The home-away assignment problem is to find a home-away assignment that minimizes the total traveling distance of the teams; the break minimization/maximization problem is to find a home-away assignment that minimizes/maximizes the number of breaks, i.e., the number of occurre...

متن کامل

Dependent Randomized Rounding to the Home-Away Assignment Problem in Sports Scheduling

Suppose that we have a timetable of a round-robin tournament with a number of teams, and distances among their homes. The home-away assignment problem is to find a home-away assignment that minimizes the total traveling distance of the teams. We propose a formulation of the home-away assignment problem as an integer program, and a rounding algorithm based on Bertsimas, Teo and Vohra’s dependent...

متن کامل

Semidefinite Programming Based Approaches to Home-Away Assignment Problems in Sports Scheduling

For a given schedule of a round-robin tournament and a matrix of distances between homes of teams, an optimal home-away assignment problem is to find a home-away assignment that minimizes the total traveling distance. We propose a technique to transform the problem to MIN RES CUT. We apply Goemans and Williamson’s 0.878-approximation algorithm for MAX RES CUT, which is based on a positive semid...

متن کامل

The break minimization problem is solvable in polynomial time when the optimal value is less than the number of teams

The break minimization problem is to find a home-away assignment that minimizes the number of breaks for a given timetable of a round-robin tournament. In a recent paper, Elf, Jünger and Rinaldi conjectured that the break minimization problem is solvable in polynomial time when the optimal value is less than the number of teams. This paper proves their conjecture affirmatively by showing that a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Oper. Res. Lett.

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2005