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In this paper we present a tabu approach for a version of the Sports League Scheduling Problem. The approach adopted is based on a formulation of the problem as a Constraint Satisfaction Problem (CSP). Tests were carried out on problem instances of up to 40 teams representing 780 integer variables with 780 values per variable. Experimental results show that… (More)

This paper introduces a new tabu search algorithm for a two-dimensional (2D) Strip Packing Problem (2D-SPP). It integrates several key features: A direct representation of the problem, a satisfaction-based solving scheme, two different complementary neighborhoods, a diversification mechanism and a particular tabu structure. The representation allows… (More)

We present an experimental investigation of tabu search (TS) to solve the 3-coloring problem (3-COL). Computational results reveal that a basic TS algorithm is able to find proper 3-colorings for random 3-colorable graphs with up to 11 000 vertices and beyond when instances follow the uniform or equipartite well-known models, and up to 1 500 vertices for… (More)

Graph vertex coloring is one of the most studied NP-hard combinato-rial optimization problems. Given the hardness of the problem, various heuristic algorithms have been proposed for practical graph coloring, based on local search, population-based approaches and hybrid methods. The research in graph coloring heuristics is very active and improved results… (More)

Given an undirected graph G, the Minimum Sum Coloring Problem (MSCP) is to find a legal assignment of colors (represented by natural numbers) to each vertex of G such that the total sum of the colors assigned to the vertices is minimized. This paper presents a memetic algorithm for MSCP based on a tabu search procedure with two neighborhoods and a… (More)

IntroductIon In packing problems, " small " items (also called " boxes " , " modules " , " objects " , or " pieces " e.g.) of various shapes (regular or not) and dimensions have to be packed (i.e., located) without overlap, with rotation and " guillotine " cuts (see Figure 1) allowed or not, in other " larger " items of regular forms or not 1. These larger… (More)

This paper presents an enumerative approach for a particular sports league scheduling problem known as " Prob026 " in CSPLib. Despite its exponential-time complexity , this simple method can solve all instances involving a number T of teams up to 50 in a reasonable amount of time while the best known tabu search and constraint programming algorithms are… (More)

The minimum sum coloring problem (MSCP) is a variant of the well-known vertex coloring problem which has a number of AI related applications. Due to its theoretical and practical relevance, MSCP attracts increasing attention. The only existing review on the problem dates back to 2004 and mainly covers the history of MSCP and theoretical developments on… (More)