Advanced Optimisation with Python
• Partioning Problems
• PuLP Modelling & Solution
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Airline Hub Location
Airline Hub Location
Airline Hub Location
Decision Variables
flowijkl : 1 if freight from city i to city j flows through hubs k and l, 0 otherwise
hubi : 1 if city i serves as a hub, 0 otherwise Parameters
costijkl : unit cost for any flow from city i to city j through hubs k and l quantij : Amount of freight that needs to be carried from city i to city j
Airline Hub Location
Airline Hub Location (revised)
Reduced number of decision variables
Accumulate the values transported between any pair of destinations
and only define the decision variables for i < j.
Given the locations, there would be one hub in the US, and one in
Define the decision variable only for those hubs assuming intra- continental flights will only use a single hub.
Airline Hub Location (revised)
Additional constraint
Intracontinental flights will use only a single hub
Rigging Elections
Rigging Elections
Rigging Elections
Decision variables
Choosed : 1 if district d is selected, 0 otherwise
Parameters
Majd : 1 if there is majority support in district d, 0 otherwise Distrdq : 1 district d includes quarter q, 0 otherwise
Rigging Elections
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