Facility location and scale decision problem with customer preference

Jung Man Lee, Young Hoon Lee

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


This paper addresses the facility location problem that aims to optimize the location and scale of a new facility in consideration of customer restrictions, including customer preference and the minimum number of customers required to open the facility. In a classic covering problem, the customer is assumed to be covered if he/she is located within the critical distance zone around the facility and is otherwise not covered. This problem is caused by customer facility selection, which differs from the classic covering problem in which services are determined only by proximity. This paper proposes a mixed integer programming formulation based on customer restrictions and also develops a heuristic solution procedure using Lagrangian relaxation. The suggested solution procedure is shown to yield acceptable results in a reasonable computation time.

Original languageEnglish
Pages (from-to)184-191
Number of pages8
JournalComputers and Industrial Engineering
Issue number1
Publication statusPublished - 2012 Aug

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • General Engineering


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