Lagrangean relaxation heuristics for the p‐cable‐trench problem

Lagrangean relaxation heuristics for the p‐cable‐trench problem

0.00 Avg rating0 Votes
Article ID: iaor20117144
Volume: 39
Issue: 3
Start Page Number: 620
End Page Number: 628
Publication Date: Mar 2012
Journal: Computers and Operations Research
Authors: , , ,
Keywords: programming: integer
Abstract:

We address the p‐cable‐trench problem. In this problem, p facilities are located, a trench network is dug and cables are laid in the trenches, so that every customer – or demand – in the region is connected to a facility through a cable. The digging cost of the trenches, as well as the sum of the cable lengths between the customers and their assigned facilities, are minimized. We formulate an integer programming model of the problem using multicommodity flows that allows finding the solution for instances of up to 200 nodes. We also propose two Lagrangean Relaxation‐based heuristics to solve larger instances of the problem. Computational experience is provided for instances of up to 300 nodes.

Reviews

Required fields are marked *. Your email address will not be published.