Jenerik Serbest Rotalı Hava Sahasında Kesikleştirme Tekniği Kullanılarak Çakışmaların Çözümlenme Problemi için Karma Tamsayılı Doğrusal Programlama Modeli

Öz

Bu çalışmada, jenerik serbest rotalı hava sahasında, uçaklar arasındaki çakışmaları belirlemek ve çözmek amacıyla bir karma tamsayılı doğrusal programlama (MILP) modeli önerilmiştir. Model, toplam uçuş mesafesinin enküçüklenmesini hedeflemektedir. Önerilen çözüm yaklaşımında, hava sahası kesikleştirme tekniği kullanılarak emniyet ayırmaları kontrol edilmekte ve uçuş yörüngeleri belirlenmektedir. Hava sahasının kesikleştirilmesi aşamasında çok fazla düğüm tanımlanması, kaliteli çözümlere ulaşılması fırsatı yaratmasına rağmen problem karmaşıklığını ve dolayısıyla çözüm süresini de arttırmaktadır. Bu nedenle, çalışmada ilgili hava sahası düşük, orta ve yüksek düğüm sayıları içerecek şekilde kesikleştirilmiş ve kesikleştirme oranının (hava sahasının içerdiği düğüm sayısının) çözüm süresi ve kalitesine etkisi incelenmiştir. Elde edilen deneysel sonuçlar, orta kesikleştirme oranı kullanıldığında, düşüğe kıyasla ciddi bir çözüm kalitesi artışının, kabul edilebilir bir çözüm süresi içinde sağlanabildiğini ancak yüksek orana geçildiğinde önemli bir çözüm süresi artışına karşın aynı oranda çözüm kalitesi iyileşmesi sağlayamadığını ortaya koymuştur.

Anahtar Kelimeler

• Karma tamsayılı doğrusal programlama (MILP)
• Çakışma çözümleme
• Serbest rotalı hava sahası
• Hava sahası kesikleştirme
• Hava trafik yönetimi

A Mixed-Integer Linear Programming Model for Conflict Resolution Using Airspace Discretization Technique in a Generic Free Route Airspace

Öz

In this study, a mixed-integer linear programming (MILP) model is proposed to detect and resolve conflicts between aircraft in a generic free route airspace while minimizing the total flight distance. The proposed solution approach uses airspace partitioning technique to control safety separations and determine flight trajectories. However, defining too many nodes during the airspace partitioning phase allows for achieving high-quality solutions but also increases problem complexity and computation time. Therefore, the impact of the partitioning rate (number of nodes in the airspace) on the solution quality and time is investigated by partitioning the airspace into low, medium, and high node numbers. The experimental results indicate that a medium partitioning rate can achieve a significant improvement in solution quality within an acceptable computation time compared to a low rate, while a high partitioning rate results in a significant increase in computation time without providing an equivalent improvement in solution quality.

Anahtar Kelimeler

• Mixed-integer linear programming (MILP)
• Conflict resolution
• Free route airspace
• Airspace discretization
• Air traffic management

Kaynakça

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