Title
Less Is More Approach: Basic Variable Neighborhood Search For The Obnoxious P-Median Problem
Abstract
The goal of the less is more approach (LIMA) for solving optimization problems that has recently been proposed in Mladenovic et al. (2016) is to find the minimum number of search ingredients that make a heuristic more efficient than the currently best. In this paper, LIMA is successfully applied to solve the obnoxious p-median problem (OpMP). More precisely, we developed a basic variable neighborhood search for solving the OpMP, where the single search ingredient, the interchange neighborhood structure, is used. We also propose a new simple local search strategy for solving facility location problems, within the interchange neighborhood structure, which is in between the usual ones: first improvement and best improvement strategies. We call it facility best improvement local search. On the basis of experiments, it appeared to be more efficient and effective than both first and best improvement. According to the results obtained on the benchmark instances, our heuristic turns out to be highly competitive with the existing ones, establishing new state-of-the-art results. For example, four new best-known solutions and 133 ties are claimed in testing the set with 144 instances.
Year
DOI
Venue
2020
10.1111/itor.12646
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH
Keywords
DocType
Volume
heuristic, less is more, obnoxious location, heap data structure, facility best improvement
Journal
27
Issue
ISSN
Citations 
1
0969-6016
0
PageRank 
References 
Authors
0.34
16
6
Name
Order
Citations
PageRank
Nenad Mladenovic11882127.14
Nenad Mladenovic21882127.14
Abdulaziz Al-kandari341.14
Jun Pei420226.56
Raca Todosijevic513412.77
Panos M. Pardalos614119.60