Solving an airport ground service task assignment problem with an exact algorithm

PLoS One. 2022 Dec 22;17(12):e0279131. doi: 10.1371/journal.pone.0279131. eCollection 2022.

Abstract

In this paper, an airport ground service task assignment problem is studied. A task represents a service, which must be performed by one or multiple ground crew of a shift with required qualification/proficiency within a prescribed time period. For every assigned task, define "task priority" times "task duration" as the "benefit" generated. The objective is to maximize the summation of "benefit" for all the assigned tasks. The problem is modeled as an integer linear programming problem with mathematical formulation. A branch-and-price algorithm is proposed for solving the problem instances to optimality. To expedite the column generation process, an acceleration strategy is proposed. The computational results show that our proposed branch-and-price algorithm is capable of solving large-sized instances and the acceleration strategy is quite effective in reducing the computational time. Moreover, the impact of changing various characteristics of tasks and shifts on the performance of the algorithm is studied in detail with supporting computational experiments. In particular, the impact of reducing the qualifications is significant with 20.82% improvement in the objective value.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Airports*
  • Algorithms*
  • Programming, Linear

Grants and funding

This work is supported by the National Natural Science Foundation of China (Grant Number 72001072, received by Qiannan Tian); National Social Science Foundation of China (Grant Number 21CGL019, received by Wei Yuan); Hubei Province Education Department (Grant Number 20Q120, received by Qiannan Tian);Hubei Provincial Excellent Young and Middle-aged Scientific and Technological Innovation Team of Colleges and Universities (Grant Number T2022024, received by Qiannan Tian). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.