The multiple traveling salesman problem (MTSP) is a generalization of the famous traveling salesman problem (TSP), where more than one salesman is used in the solution. Although the MTSP is a typical kind of computationally complex combinatorial optimization problem, it can be extended to a wide variety of routing problems. This paper presents an efficient and evolutionary optimization algorith...

The Traveling Tournament Problem (TTP) is a wellknown NP-complete problem in sports scheduling that was inspired by the application of optimizing schedules for Major League Baseball to reduce total team travel. The techniques and heuristics from the n-team TTP can be extended to optimize the scheduling of other sports leagues, such as the Nippon Professional Baseball (NPB) league in Japan. In t...

The Traveling Tournament problem is a problem of scheduling round robin leagues which minimizes the total travel distance maintaining some constraints on consecutive home and away matches. The problem was proven NP-hard when the upper bound on any consecutive home or away stint is 3. In this paper, we prove that even without the constraints on the consecutive home or away matches, the problem r...

In this paper we propose an approximation for the Traveling Tournament Problem which is the problem of designing a schedule for a sports league consisting of a set of teams T such that the total traveling costs of the teams are minimized. Thereby, it is not allowed for any team to have more than k home-games or k away-games in a row. We propose an algorithm which approximates the optimal soluti...

In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.

The homogeneous balance method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this paper, this method is used to construct new soliton solutions of the (3+1) Jimbo--Miwa equation.

CODE OF ORDINANCES TOWN OF DAVIDSON, NORTH CAROLINA ________ Published by Order of the Board of Commissioners ________ Adopted February 13, 2001 Effective February 13, 2001 ________ Published by Municipal Code Corporation Tallahassee, Florida 2000 OFFICIALS of the TOWN OF DAVIDSON, NORTH CAROLINA AT THE TIME OF THIS CODIFICATION ________ Randall R. Kincaid Mayor ________ Garfield Carr Bruce McM...

With the development of urbanization, the construction of town informationization is becoming more and more urgent and important in China. At present, the consciousness of town informationization is not deep; the information application is not of large scale; information-based talents are not enough and the information industry is of low level. Besides, lots of towns don’t know what to do and h...

Little is known about the relationship between town size and physical activity levels. A representative population sample survey was used to identify activity and environmental barrier differences between residents in diverse town sizes (n=7916). Binary logistic regression analysis identified residents in large cities (>100,000 people) were 15% less likely to be sedentary for overall activity c...