Sürdürülebilirlik Odaklı Çok Pistli Uçak İniş Çizelgelemesi: Γ-Gürbüz Bir Karma Tam Sayılı Doğrusal Programlama

Öz

Küresel havalimanlarındaki kapasite kısıtları ve artan hava trafiği, iniş operasyonlarının güvenli, verimli ve çevreci bir şekilde optimize edilmesini zorunlu kılmaktadır. Klasik “Uçak İniş Problemi” literatürü ağırlıklı olarak deterministik gecikme minimizasyonuna odaklanırken, operasyonel belirsizlikleri ve çevresel sürdürülebilirliği göz ardı etmektedir. Bu makale, çoklu pist operasyonları için “Sürekli Alçalma Operasyonları” yakıt hedeflerini ve kuyruk türbülansı belirsizliklerini eşzamanlı optimize eden Γ-Gürbüz bir Karma Tam Sayılı Doğrusal Programlama (Γ-Robust MILP) modeli önermektedir. Model, Bertsimas ve Sim (2004) metodolojisini kullanarak rüzgâr ve pilot reaksiyonlarından kaynaklanan stokastik zaman sapmalarını kontrol altına almaktadır. Standart OR-Library referans veri setleri üzerinde Gurobi çözücüsü ile yapılan hesaplamalı deneyler, önerilen gürbüz yaklaşımın %11-14 bandında bir "gürbüzlük bedeli" karşılığında %99.9 uygulanabilirlik garantisi sunduğunu ve “Sürekli Alçalma Operasyonları” adaptasyonu sayesinde geleneksel modellere kıyasla anlamlı düzeyde yakıt tasarrufu sağladığını göstermiştir. Geliştirilen algoritma, otonom hava trafik yönetimi ve karar destek sistemleri için pratik bir altyapı teşkil etmektedir.

Anahtar Kelimeler

• Uçak İniş Problemi
• Gürbüz Optimizasyon
• Sürekli Alçalma Operasyonları (CDO)
• Karma Tam Sayılı Doğrusal Programlama (MILP)
• Hava Trafik Yönetimi (ATM)

Sustainability-Oriented Multi-Runway Aircraft Landing Scheduling: A Γ-Robust Mixed-Integer Linear Programming Model

Öz

Capacity constraints and increasing air traffic at global airports necessitate the optimization of landing operations in a safe, efficient, and environmentally friendly manner. While the classic Aircraft Landing Problem (ALP) literature predominantly focuses on deterministic delay minimization, it often neglects operational uncertainties and environmental sustainability. This paper proposes a Γ-Robust Mixed-Integer Linear Programming (Γ-Robust MILP) model for multi-runway operations that simultaneously optimizes Continuous Descent Operations (CDO) fuel targets and wake turbulence uncertainties. Utilizing the Bertsimas and Sim (2004) methodology, the model controls stochastic time deviations arising from windshear and pilot reactions. Computational experiments conducted on standard OR-Library benchmark datasets using the Gurobi optimizer demonstrate that the proposed robust approach offers a 99.9% feasibility guarantee at a “price of robustness” ranging between 11-14%. Furthermore, through CDO adaptation, it achieves significant fuel savings compared to traditional models. The developed algorithm constitutes a practical foundation for autonomous air traffic management and decision support systems.

Anahtar Kelimeler

• Aircraft Landing Problem
• Robust Optimization
• Continuous Descent Operations (CDO)
• Mixed-Integer Linear Programming (MILP)
• Air Traffic Management (ATM).

Kaynakça

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