The Minimum Linear Arrangement Problem

 

Description:

The MINLA problem is a classified NP-hard optimization problem. It can be defined as:

Input:
-Undirected and unweighted graph G = (V,E).

Output:
-A one to one function .

 

     

Question

In the MINLA problem, the goal is to arrange the vertices of a given graph on an integer line ( -label assignment) , so as to minimize the following cost formuma C:

 

 

Problem Instances

In order to define an instance of this problem we need to provide all the information about the Graph. This means: his Vertex Set and the associated Edge Set between pairs of vertexs. The edges are unweighted.

 

Related Bibliography and Papers

TextBook
Computers and Intractability: A Guide to the Theory of Np-Completeness
by Michael R. Garey, David S. Johnson
TextBook
How to Solve It: Modern Heuristics
by Zbigniew Michalewicz, David B. Fogel
URL

Aproximation Heuristics and Benchmarkings for the MinLA Problem
http://www.lsi.upc.es/~jpetit/pdf/alex98.pdf

URL
A compendium of NP optimization problems
http://www.nada.kth.se/~viggo/problemlist/compendium.html


Last Updated: 5/06/03                                                                                                                  For any question or suggestion, click here to contact with us.