Parameters

Meanings

Parameters

Meanings

f

Flights

fv

VIP flights

fm

Important flights

fg

Ordinary flights

A

The set of available aircrafts

a

Aircrafts

L

The set of type of aircrafts

l

The type of aircrafts

p

Airports

P

The set of Airports

F

The set of flights

Fv

The set of disturbed VIP flights

Fm

The set of disturbed important flights

Fg

The set of disturbed regular flights

y f

If flight f is cancelled, the value is 1, otherwise it is 0

x a f

If airplane a executes flight f, the value is 1, otherwise it is 0

t a f ( k )

If the plane a executes the flight f, it takes off at the time unit k of the delay, then the value is 1, otherwise it is 0

N p G A T E ( t 1 , t 2 )

The number of gates available at airport p during ( t 1 , t 2 ) , p P

N p A F T E R ( l )

The number of aircrafts of model l which required to be parked at airport p after the restoration

N B ( l )

The number of business class seats of the aircraft belongs to type l

N B ( f )

The number of business class passengers on flight f

N E ( l )

The number of economy class seats of the aircraft belongs to type l

N E ( f )

The number of economy class passengers on flight f

p f B

The fare for business class seats on flight f

p f E

The fare for economy class seats on flight f

N ( l )

The total number of seats of the aircraft belongs to type l

p g

The itinerary of the disturbed passenger

I ( p , t )

The set of inbound flights parking at airport p at moment t

P G

The set of the itinerary route of the disturbed passenger (departure airport to arrival airport)

O ( p , t )

The set of outbound flights parking at airport p at moment t

F ¯ ( l )

The flight set of aircraft type l cannot be allocated, l L , F ¯ ( l ) F

P ¯ ( t 1 , t 2 )

The set of airports closed due to inclement weather during ( t 1 , t 2 )

R ( p g )

The set of alternative itineraries for disturbed passengers, p g P G

b p , f L A S T

On the same day, flight f finally lands at airport p, it is 1, otherwise it is 0

b p , f F L T

If the flight f stops at the airport p within the specified time, the value is 1, otherwise it is 0

b f , r P A X

If the flight f is on route r of the disturbed passengers, the value is 1, otherwise it is 0, r R ( p g )

b a , l F L T

If aircraft a belongs to type l, it is 1, otherwise it is 0

n r P A X

The number of passengers on flight f on route r r R ( p g )

x l f

The aircraft belongs to type l is assigned to flight f, then it is 1, otherwise it is 0 l L , f F

z r p g

The number of passengers whose flight route is on r and the departure and arrival airport is p g , r R ( p g ) , p g P G