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      The P-Hub maximal covering problem and extensions for gradual decay functions

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      Author
      Peker, M.
      Kara, B. Y.
      Date
      2015
      Source Title
      Omega
      Print ISSN
      0305-0483
      Electronic ISSN
      1873-5274
      Publisher
      Elsevier
      Volume
      54
      Pages
      158 - 172
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      The p-hub maximal covering problem aims to find the best locations for hubs so as to maximize demands within a coverage distance with a predetermined number of hubs. Classically, the problem is defined in the framework of binary coverage only; an origin-destination pair is covered if the cost (time, etc.) is lower than the critical value, and not covered at all if the cost is greater than the critical value. In this paper, we extend the definition of coverage, introducing "partial coverage", which changes with distance. We present new and efficient mixed-integer programming models that are also valid for partial coverage for single and multiple allocations. We present and discuss the computational results with different data sets.
      Keywords
      Hub location problem
      P-hub maximal covering problem
      Partial coverage
      Permalink
      http://hdl.handle.net/11693/21603
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.omega.2015.01.009
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