Metric Topology in Airline Network Optimization: A Study of Distance Functions, Connectivity, and Delay Propagation

1K.Shanmugam,2G.Swarnakala,3K. Tara Chandran
1Assistant Professor, Department of Mathematics, Annamacharya Institution of Technology and Sciences
,Tirupati-517520
2Assistant Professor, Department of Mathematics, Annamacharya Institution of Technology and Sciences
,Tirupati-517520
3Assistant Professor, Department of Mathematics, Annamacharya Institution of Technology and Sciences
,Tirupati-517520
Correspondence
K.Shanmugam, Department of Mathematics, Annamacharya Institution of Technology and Sciences. Mail Id :
shanmugamkaranam7585@gmail.com

ABSTRACT:This paper explores the application of metric topology in airline network optimization. A metric space is defined to representdistances between airports, incorporating factors such as travel time, cost, and delay. Using these metrics, concepts of openand closed sets are employed to analyse connectivity, route structure, and accessibility within airline networks.The study also examines delay propagation through metric-based models, highlighting its impact on network efficiency androbustness. By linking topological concepts with real-world airline systems, this work demonstrates how metric topology cansupport improved route planning, scheduling, and disruption management.KEYWORDS:Metric Space, Metric Topology, Airline Networks, Distance Functions, Network Connectivity, Open Sets, Closed Sets, Route Optimization, Delay Propagation, Transportation Systems