The aim of this study is to provide a balanced distribution of air traffic controller workload (ATCW) across airspace sectors taking into account the complexity of airspace sectors and the factors affecting ATCW, both objective and perceived. Almost all the studies focusing on the airspace sectorisation problem use heuristic or metaheuristic algorithms in dynamic simulation environments instead of a mathematical modelling approach. The paper proposes a multi-objective mixed integer mathematical model for airspace sectorisation. The model is applied to the upper, en-route level of Turkish airspace. Geographical information systems (GIS) are used to advantage for airspace analysis. The multi-objective model developed in this paper is scalarised by using the conic scalarisation method. For solving the scalarised problem, the CPLEX and DICOPT solvers of GAMS software are implemented. Finally, the optimal sector boundaries of Turkish airspace are defined.

中文翻译：

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优化空域分区问题的数学规划方法

本研究的目的是考虑到空域部门的复杂性以及影响 ATCW 的客观和感知因素，在空域部门之间提供空中交通管制员工作量 (ATCW) 的平衡分布。几乎所有关注空域分区问题的研究都在动态模拟环境中使用启发式或元启发式算法，而不是数学建模方法。本文提出了空域分区的多目标混合整数数学模型。该模型适用于土耳其领空的上层航路。地理信息系统 (GIS) 用于空域分析。本文开发的多目标模型采用圆锥标量法进行标量。为了解决标量化问题，实现了 GAMS 软件的 CPLEX 和 DICOPT 求解器。最后，定义了土耳其空域的最佳扇区边界。