In the original Western Airlines set-covering model in Figure 14.52, we used the number of hubs as
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Figure 14.52 Set-Covering Model F K M. 1 Western Airlines hub location model 3 Input data: which cities are covered by which potential hubs Potential hub Range names used: Hubs covered by Total hubs Used as hub? 4 EModelSB$25:$B$36 5 ity 6 JAT 7 BO AT во CH DE но LA NO NY PI SL SF SE Model SB$39 Modell$B$21:$M$21 1 1. 1 8 IH 1 1 1. 9 DE 10 IHO 1 1 11 LA 1 12 NO 13 NY 14 PI 1 1 1 15 SL 16 SF 1 1. 1 1 17 SE 1 1. 18 19 Decisions: which cities to use as hubs AT 20 BO CH DE но LA NO NY SL SF PI SE 21 Used as hub? 22 23 Constraints that each city must be covered by at least one hub 24 City 25 AT 1 Hubs covered by Required 21 > 1 26 BO 1 27 CH 28 DE 29 HO 30 LA Note that there are multiple optimal solutions to this model, all of which require a total of 3 hubs. You might get a different solution from the one 1 1 1 1 shown here. 1 31 INO 1 1 32 INY 33 PI 1 34 ISL 1 35 SF 36 SE 1 37 38 Objective to minimize 39 Total hubs H00O 1.
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Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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