Constructive Genetic Algorithm and Column Generation: an Application to Graph Coloring

نویسندگان

  • Geraldo Ribeiro Filho
  • Francisco Rodrigues Filho
  • Luiz Antonio Nogueira Lorena
چکیده

We present a combined use of Genetic Algorithms (GAs) and column generation to approximately solve graph-coloring problems. The proposed method is divided in two phases. The constructive phase builds the initial pool of columns using a Constructive Genetic Algorithm (CGA). Each column forms an independent set. The second phase solves by column generation the set covering formulation. The columns are generated solving weighted independent set problems. Some computational experience is given.

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

A practical algorithm for [r, s, t]-coloring of graph

Coloring graphs is one of important and frequently used topics in diverse sciences. In the majority of the articles, it is intended to find a proper bound for vertex coloring, edge coloring or total coloring in the graph. Although it is important to find a proper algorithm for graph coloring, it is hard and time-consuming too. In this paper, a new algorithm for vertex coloring, edge coloring an...

متن کامل

الگوریتم ژنتیک با جهش آشوبی هوشمند و ترکیب چند‌نقطه‌ای مکاشفه‌ای برای حل مسئله رنگ‌آمیزی گراف

Graph coloring is a way of coloring the vertices of a graph such that no two adjacent vertices have the same color. Graph coloring problem (GCP) is about finding the smallest number of colors needed to color a given graph. The smallest number of colors needed to color a graph G, is called its chromatic number. GCP is a well-known NP-hard problems and, therefore, heuristic algorithms are usually...

متن کامل

Constructive Genetic Algorithm for Graph Coloring

This work presents a new constructive heuristic for graph coloring based on Genetic Algorithms. The Constructive Genetic Algorithm (CGA) begins with an initial population formed only of schemas (partial colorings), and iterates (re)combining two schemas. The new schemas present more colored nodes. At each iteration, is performed an elimination of schemas from the population and the process fini...

متن کامل

A Genetic Algorithm for Choice-Based Network Revenue Management

In recent years, enriching traditional revenue management models by considering the customer choice behavior has been a main challenge for researchers. The terminology for the airline application is used as representative of the problem. A popular and an efficient model considering these behaviors is choice-based deterministic linear programming (CDLP). This model assumes that each customer bel...

متن کامل

Automatic Service Composition Based on Graph Coloring

Web services as independent software components are published on the Internet by service providers and services are then called by users’ request. However, in many cases, no service alone can be found in the service repository that could satisfy the applicant satisfaction. Service composition provides new components by using an interactive model to accelerate the programs. Prior to service comp...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001