Stochastic Modelling of Aircraft Ground Time at Soekarno-Hatta International Airport

Main Article Content

Okky Sukmawati Harjono
Javensius Sembiring
Hisar Manongam Pasaribu

Abstract

Ground time plays an important role in keeping flight on-time performance and passenger smooth flow. It varies depending on the aircraft type, procedures, passenger number and/or cargo amount, maintenance requirements, and ground handling service quality. This research aims to explore the ground time distribution pattern at Soekarno-Hatta International Airport. The daily flight historical data is divided into several categories based on the airline’s service type for local airlines, the airline’s origin for foreign airlines, the type of flight, and aircraft size. Ground time data of each flight category is then fitted to all possible distribution types by using the Distribution Fitting app in Matlab. The best-fitted distribution definition uses the Kolmogorov-Smirnov test by comparing the p-value of each distribution. 6 distributions fit 20 flight categories. Almost all local airlines’ ground time except full-service carrier international flights and low-cost carrier international flights with wide-body aircraft fit to Burr distribution. Full-service carrier international flight with narrow and wide-body aircraft, international flight with narrow-body aircraft operated by airlines from China and other countries fit Generalized Extreme Value distribution. Low-cost carrier international flights with wide-body aircraft and private flights fit to Inverse Gaussian distribution. International flights with wide-body aircraft operated by airlines from Korea, Japan, and other countries airlines fit for Nakagami distribution. While the cargo flights fit t Location-Scale distribution for wide-body aircraft and Weibull distribution for narrow-body aircraft. Then the stochastic models are developed based on each flight category’s distribution parameters. These models are expected to be able to guide future research in ground time or apron capacity management as they provide the data distribution without more primary data needed.

Article Details

Section
Articles

References

A. Wignall, “How it works: the aircraft turnaround,” Aerotime Hub. Accessed: Nov. 06, 2023. [Online]. Available: https://www.aerotime.aero/articles/32767-how-it-works-the-aircraft-turnaround

IATA Knowledge Hub, “Top Ways to Safely Improve the Efficiency of Aircraft Turnaround with Standardized Procedures,” International Air Transport Association (IATA). Accessed: Nov. 06, 2023. [Online]. Available: https://www.iata.org/en/publications/newsletters/iata-knowledge-hub/improve-efficiency-aircraft-turnaround/

The Port Authority of New York and New Jersey, “2022 Airport Traffic Report,” New York, New Jersey, 2022.

Skytrax, “Jakarta Soekarno-Hatta International Airport,” Skytrax. Accessed: May 20, 2023. [Online]. Available: https://skytraxratings.com/airports/jakarta-soekarno-hatta-airport-rating

ICAO, “ATFM Terminology and Communications,” in The Fifth Meeting of ICAO Asia/Pacific Air Traffic Flow Management Steering Group (ATFM/SG/5), Bangkok, 2015.

Mathworks, “Model Data Using the Distribution Fitter App,” The Mathworks, Inc. Accessed: Nov. 04, 2023. [Online]. Available: https://www.mathworks.com/help/stats/model-data-using-the-distribution-fitting-tool.html

H. Pishro-Nik, “8.2.3 Maximum Likelihood Estimation,” in Introduction to Probability, Statistics, and Random Processes, Kappa Research, LLC, 2014. Accessed: Nov. 09, 2023. [Online]. Available: https://www.probabilitycourse.com/chapter8/8_2_3_max_likelihood_estimation.php

Mathworks, “Maximum likelihood estimates,” The Mathworks, Inc. Accessed: Nov. 10, 2023. [Online]. Available: https://www.mathworks.com/help/stats/mle.html

Mathworks, “kstest: One-sample Kolmogorov-Smirnov test,” The Mathworks, Inc. Accessed: Nov. 10, 2023. [Online]. Available: https://www.mathworks.com/help/stats/kstest.html

NIST, “NIST/SEMATECH e-Handbook of Statistical Methods,” Gaithersburg: National Institute of Standards and Technology (NIST), U.S. Department of Commerce, 2012.

B. Dr. McNeese, “Interpretation of Alpha and p-Value,” BPI Consulting, LLC. Accessed: Nov. 10, 2023. [Online]. Available: https://www.spcforexcel.com/knowledge/basic-statistics/interpretation-alpha-and-p-value/#:~:text=Alpha%2C%20the%20significance%20level%2C%20is,you%20accept%20the%20null%20hypothesis

Mathworks, “Burr Type XII Distribution,” The Mathworks, Inc. Accessed: Nov. 06, 2023. [Online]. Available: https://www.mathworks.com/help/stats/burr-type-xii-distribution.html

P. R. Tadikamalla, “A Look at the Burr and Related Distributions,” vol. 48, no. 3, pp. 337–344, 1980.

I. F. Alves and C. Neves, “Extreme Value Distributions *,” 2010.

Mathworks, “Generalized Extreme Value Distribution,” The Mathworks, Inc. Accessed: Nov. 07, 2023. [Online]. Available: https://www.mathworks.com/help/stats/generalized-extreme-value-distribution.html

Mathworks, “Inverse Gaussian Distribution,” The Mathworks, Inc. Accessed: Nov. 07, 2023. [Online]. Available: https://www.mathworks.com/help/stats/inverse-gaussian-distribution.html

Mathworks, “Nakagami Distribution,” The Mathworks, Inc. Accessed: Nov. 07, 2023. [Online]. Available: https://www.mathworks.com/help/stats/nakagami-distribution.html

Mathworks, “t Location-Scale Distribution,” The Mathworks, Inc. Accessed: Nov. 11, 2023. [Online]. Available: https://www.mathworks.com/help/stats/t-location-scale-distribution.html

H. F. Martz, “Reliability Theory,” in Encyclopedia of Physical Science and Technology, 3rd ed., New Mexico: Elsevier Science Ltd., 2003, pp. 143–159.

Mathworks, “Weibull Distribution,” The Mathworks, Inc. Accessed: Nov. 11, 2023. [Online]. Available: https://www.mathworks.com/help/stats/weibull-distribution.html