A cover based competitive facility location model with continuous demand

Abstract

Abstract In this paper we propose and solve a competitive facility location model when demand is continuously distributed in an area and each facility attracts customers within a given distance. This distance is a measure of the facility's attractiveness level which may be different for different facilities. The market share captured by each facility is calculated by two numerical integration methods. These approaches can be used for evaluating functional values in other operations research models as well. The single facility location problem is optimally solved by the big triangle small triangle global optimization algorithm and the multiple facility problem is heuristically solved by the Nelder‐Mead algorithm. Extensive computational experiments demonstrate the effectiveness of the solution approaches.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 18 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.