Modeling Discrete Competitive Facility Location by Athanasia Karakitsiou

Author:Athanasia Karakitsiou
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

z ijk indicates whether market j is served by the leader from location i while k is location of the follower nearest to j(i ≠ k).

The resulting model is

(3.97)

(3.98)

where x, y, z being the solution of

(3.99)

(3.100)

(3.101)

(3.102)

(3.103)

(3.104)

(3.105)

(3.106)

The heuristic procedure from problem (3.99)–(3.106) presented by Fischer [22] strongly relies on the determination of the follower’s reaction function which is given by the binary model which is equivalent to the maximum capture problem [60]:

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