Competitive location under proportional choice: 1-suboptimal points on networks

Journal Title: Decision Making in Manufacturing and Services - Year 2012, Vol 6, Issue 1

Abstract

This paper is concerned with a competitive or voting location problem on networks under a proportional choice rule that has previously been introduced by Bauer et al. (1993). We refine a discretization result of the authors by proving convexity and concavity properties of related expected payoff functions. Furthermore, we answer the long time open question whether 1-suboptimal points are always vertices by providing a counterexample on a tree network.

Authors and Affiliations

Erwin Pesch, Dominik Kress

Keywords

Related Articles

Batch Scheduling of Deteriorating Products

In this paper we consider the problem of scheduling N jobs on a single machine, where the jobs are processed in batches and the processing time of each job is a simple linear increasing function depending on job’s waitin...

Corrigendum to ”Neighbourhood Properties in Some Single Processor Scheduling Problem with Variable Efficiency and Additional Resources”

Amendment to [Decision Making in Manufacturing and Services, vol. 5 (1–2), 2011, pp. 5–17

Three-Machine Flowshop Scheduling Problem to Minimize Total Completion Time with Bounded Setup and Processing Times

The three-machine flowshop scheduling problem to minimize total completion time is studied where setup times are treated as separate from processing times. Setup and processing times of all jobs on all machines are unkno...

Competitive location under proportional choice: 1-suboptimal points on networks

This paper is concerned with a competitive or voting location problem on networks under a proportional choice rule that has previously been introduced by Bauer et al. (1993). We refine a discretization result of the auth...

Stretching the Least Squares to Embed Loss Functions Tables

The method of least squares is extended to accommodate a class of loss functions specified in the form of function tables. Each function table is embedded into the standard quadratic loss function so that the nonlinear l...

Download PDF file
  • EP ID EP166169
  • DOI 10.7494/dmms.2012.6.2.5
  • Views 112
  • Downloads 0

How To Cite

Erwin Pesch, Dominik Kress (2012). Competitive location under proportional choice: 1-suboptimal points on networks. Decision Making in Manufacturing and Services, 6(1), 53-64. https://europub.co.uk./articles/-A-166169