Study on coloring method of airport flight-gate allocation problem

Hongyan Li,Jiang Lin,Jingyu Zhou,Xianfeng Ding

doi:10.1186/s13362-019-0068-5

Hongyan Li, Jiang Lin + Show 2 more

Open Access

https://doi.org/10.1186/s13362-019-0068-5

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Abstract

With the development of economy, more and more people travel by plane. Many airports have added satellite halls to relieve the pressure of insufficient boarding gates in airport terminals. However, the addition of satellite halls will have a certain impact on connecting flights of transit passengers and increase the difficulty of reasonable allocation of flight and gate in airports. Based on the requirements and data of question F of the 2018 postgraduate mathematical contest in modeling, this paper studies the flight-gate allocation of additional satellite halls at airports. Firstly, match the seven types of flights with the ten types of gates. Secondly, considering the number of gates used and the least number of flights not allocated to the gate, and adding the two factors of the overall tension of passengers and the minimum number of passengers who failed to transfer, the multi-objective 0–1 programming model was established. Determine the weight vector w=(0.112,0.097,0.496,0.395) of objective function by entropy value method based on personal preference, then the multi-objective 0–1 programming model is transformed into single-objective 0–1 programming model. Finally, a graph coloring algorithm based on parameter adjustment is used to solve the transformed model. The concept of time slice was used to determine the set of time conflicts of flight slots, and the vertex sequences were colored by applying the principle of “first come first serve”. Applying the model and algorithm proposed in this paper, it can be obtained that the average value of the overall tension degree of passengers minimized in question F is 35.179%, the number of flights successfully allocated to the gate maximized is 262, and the number of gates used is minimized to be 60. The corresponding flight-gate difficulty allocation weight is alpha =0.32 and beta =0.40, and the proportion of flights successfully assigned to the gate is 86.469%. The number of passengers who failed to transfer was 642, with a failure rate of 23.337%.

Highlights

With the rapid development of economy, more and more people travel by air, which has caused a great impact on airports whose passenger flow has reached the saturation state
Flight-gate allocation is the allocation of arriving and departing flights to the appropriate gate, which is affected by several factors, such as the density of flights arriving at the station, the number of flights, the type of airframe, the stopping time, etc., and the transit passenger is the passenger who transfers from the arriving flight to the departure flight executed by the same or different planes
Satellite hall S is an extension of terminal T, which can wait for the flight and has no entry and exit functions

Summary

Introduction

With the rapid development of economy, more and more people travel by air, which has caused a great impact on airports whose passenger flow has reached the saturation state. In 2008, Ju and Xu [6] took the minimum distance required for passenger transfer as the objective function, and applied greedy simulated annealing algorithm to solve the problem of flight gate allocation. (5) The process of transit passengers from the arrival of the previous flight to the departure of the flight, which is combined into 16 different scenarios by domestic (D) and international (I), terminal (T) and satellite hall (S), and the shortest process time and MRT number of rides exist between these scenarios. A multi-objective 0–1 programming model is established, which is based on the following factors: minimum overall tension of passengers, minimum number of gates used, minimum number of flights not allocated to the gate and minimum number of passengers not successfully transferred.

Design of graph coloring algorithm based on parameter adjustment

Conclusion