The air traffic flow control problem as an application of network theory

1982 ◽  
Vol 9 (4) ◽  
pp. 265-278 ◽  
Author(s):  
M. Bielli ◽  
G. Calicchio ◽  
B. Nicoletti ◽  
S. Ricciardelli
Keyword(s):  
Flow Control ◽  
Control Problem ◽  
Traffic Flow ◽  
Network Theory ◽  
Air Traffic ◽  
Air Traffic Flow

Market-Based Air Traffic Flow Control with Competing Airlines

2008 ◽  
Vol 31 (1) ◽  
pp. 148-161 ◽  
Author(s):  
Steven L. Waslander ◽  
Robin L. Raffard ◽  
Claire J. Tomlin
Keyword(s):  
Flow Control ◽  
Traffic Flow ◽  
Air Traffic ◽  
Air Traffic Flow

Lump-Sum Markets for Air Traffic Flow Control With Competitive Airlines

2008 ◽  
Vol 96 (12) ◽  
pp. 2113-2130 ◽  
Author(s):  
S.L. Waslander ◽  
K. Roy ◽  
R. Johari ◽  
C.J. Tomlin
Keyword(s):  
Flow Control ◽  
Traffic Flow ◽  
Air Traffic ◽  
Lump Sum ◽  
Air Traffic Flow

Air Traffic Flow Control Systems: Modelling and Evaluation

1981 ◽  
Vol 14 (2) ◽  
pp. 2357-2362 ◽  
Author(s):  
M. Bielli ◽  
G. Calicchio ◽  
S. Iozzia ◽  
B. Nicoletti
Keyword(s):  
Flow Control ◽  
Control Systems ◽  
Traffic Flow ◽  
Air Traffic ◽  
Air Traffic Flow ◽  
Systems Modelling

Dynamic Flow Scheduling in Air Traffic Network Based on Game Theory

2010 ◽  
Vol 439-440 ◽  
pp. 977-982
Author(s):  
Si Liang Wang
Keyword(s):  
Game Theory ◽  
Flow Control ◽  
Traffic Flow ◽  
Resource Sharing ◽  
Flow Model ◽  
Control Strategies ◽  
Dynamic Game ◽  
Air Traffic ◽  
Traffic Network ◽  
Air Traffic Flow

Recently, many works have employed deterministic strategies in dealt with flow scheduling problem in Air traffic flow management (ATFM). In practice, however, they are proved unreasonable for omitting airline’s preference in ATFM. In this paper, we develop a novel air traffic flow control model based on game theory to solve this problem in air traffic network. In the flow model, a resource (link/time pair in air traffic network) allocation strategy that uses sequential game method to predict traffic allocation is proposed in resource sharing environment. The problem of multiple airlines competes for an optimal route is formulated as a multi-player dynamic game. Through finding the Nash equilibrium solution of the multi-player dynamic game, the optimal flow scheduling is also formed at the same time. The flow model also incorporates many key characteristics of ATFM, such as competitive airlines, allowing multiply flow control strategies and so on. Numerical simulation results show the feasibility of solving the air traffic flow control problem using game theory on the air traffic network.

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