Analysis and Computational Schemes for p-Median Heuristics
Bibliographic Data
| ID | 4143165 |
|---|---|
| Authors | Mark Horn (Commonwealth Scientific and Industrial Research Organisation, corresponding author) |
| Year | 1996 |
| Volume | 28 |
| Issue | 9 |
| Pages | 1699-1708 |
| Publication date | 1996-09-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a281699 |
| OpenAlex | W1981891001 |
| Language | EN |
| Citations received | 1 |
| References cited | 9 |
This paper is concerned with solution procedures for the p-median problem: the well-established heuristic of Teitz and Bart, and the GRIA (Global/Regional Interchange Algorithm) technique developed more recently by Densham and Rushton. A computational scheme is presented which facilitates efficient implementations in both cases. The mathematical basis for the computational scheme is explained concisely by means of set-theory notation, and implementation of the Teitz-Bart heuristic is discussed with particular reference to search and storage considerations in large networks and in trees. In addition, it is shown that the two procedures in general do not terminate at solutions of equivalent local optimality
Algorithm · Arithmetic · Heuristic · Heuristics · Implementation · Mathematical optimization · Notation · Computer Science · Facility Location and Emergency Management · Mathematics · Transportation Planning and Optimization · Vehicle Routing Optimization Methods · Theoretical Computer Science
Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph
Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph
A more efficient heuristic for solving largep-median problems
Strategies for Solving Large Location-Allocation Problems by Heuristic Methods
The Phylogenetic Moment-A New Diversity Measure, with Procedures for Measurement and Optimisation
The p-Median Structure as a Unified Linear Model for Location-Allocation Analysis
| Citations per year | 0.03 |
|---|---|
| Citation span | 1996 - 1996 (1) |
| Highly cited | No |