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Arrival vs. Departure Delay Distribution

Arrival vs. Departure Delay Distribution

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Conference Paper
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During 2007, 19% of all European flights were more than 15 min late. One contributor to this delay is the insufficient ground operation performance inducing excessive process durations. Whenever these processes are part of the critical Turnaround (TA) path, such as de-boarding, fuelling, cleaning, catering and boarding, the effects immediately prop...

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... valid datasets 1 , the 1 It may be noted that few operations were found with a turnaround time up to 2 hrs, which were not considered following distribution with a mean time of μ = 61.1 min (σ = 8.9 min) was found: Further on, this data set was analyzed against the individual delays of each operation to allow correlating turnaround durations and. Fig. 6 shows the results of that analysis, with an average arrival delay of μ ARR = 2.4 min and an average departure delay μ DEP = 8.4 min. It was further found that departures leave the airport "early" for only 1% of all cases. The delay distribution shows 56% being less than 5 min late, 24% more than 5 and less than 15 min late and 19% ...

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... Scene factors [15][16][17] Airport operation status, flight arrival time period Airport queue waiting efficiency, airport layout Information (passenger, luggage, seat, cargo, mail, etc.) Airport identification recognition Flight factors [15,16] Pre-flight arrival delay time, aircraft type Plan turnaround time, transshipment volume (oil and water) ...
... Scene factors [15][16][17] Airport operation status, flight arrival time period Airport queue waiting efficiency, airport layout Information (passenger, luggage, seat, cargo, mail, etc.) Airport identification recognition Flight factors [15,16] Pre-flight arrival delay time, aircraft type Plan turnaround time, transshipment volume (oil and water) ...
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Flight delay identification is an important way to coordinate the operation time of airport ground service providers and improve the efficiency of airport operations. By analyzing the flight turnaround operation process, considering the randomness and synchronization of the turnaround process, and using Colored Petri Nets and Python (4.0.1), we explore the correlation between various links in the flight turnaround process and the take-off delay at the next station. This paper is committed to improving the service performance of airports and airlines, dynamically predicting flight delays, and providing guidance for avoiding excessive time in the actual operation of bad combinations. The results show that there are six kinds of bad combinations in the departure slip-out link, which is the most likely to affect the transit time. The maximum lifting degree in the bad combination is 2.043, and the maximum average delay time in the bad combination is 22.5 min. When the combination of passenger boarding and departure slip-out time is too long, it has a great positive correlation with delay. When the other links are in a state of being able to pass the station on time, the departure time and baggage loading and unloading are the two links that most affect the flight delay value.
... Due to the fact that the true distribution of samples is unknown, we used goodness-of-ft measures with curve ftting methods to empirically ft distributions of sample data. Previous studies on time distributions of subprocesses have generally considered only one distribution [3] or a few distributions [39], ignoring the variability in the duration distribution of diferent activities. Hence, this paper takes several kinds of distributions into account, including Normal, Lognormal, Gamma, Logistic, Exponential, Weibull, and Rayleigh Distribution, being expressed in Appendix A. ...
... Given that the durations of subprocesses are stochastically distributed and depend on diferent trigger parameters [39], the critical path can be diferent for individual turnarounds [43]. Te critical path method (CPM) was used to identify the critical path of ground handling operations of each fight before and after the pandemic based on simulation data from turnaround operations. ...
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... The stochastic influences of distinct sub-processes are available in the literature, such as good Weibull fittings for cleaning, de-boarding, catering, and boarding or Gamma fitting for fueling, as seen in [21]. Furthermore, [21] presents stochastic representations, which relate arrival delay to the beginning of particular sub-processes. ...
... The stochastic influences of distinct sub-processes are available in the literature, such as good Weibull fittings for cleaning, de-boarding, catering, and boarding or Gamma fitting for fueling, as seen in [21]. Furthermore, [21] presents stochastic representations, which relate arrival delay to the beginning of particular sub-processes. It has to be stressed that the distributions are derived from the data of mid-to short-range flights, with a flight time of less than 120 min and turnaround duration less than 75 min at the Frankfurt and Munich airports. ...
... The data were procured from the real operational data of an anonymous airline and the report from CODA [25]. The stochastic durations of sub-processes are available in [21]. ...
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This paper presents a concept of a fast-time gate-to-gate simulation environment. The implementation is divided into an air traffic part that uses BADA performance parameters and a simulation of ground processes. The main objective of the flow-based hybrid simulation environment is to cover commercial European air traffic, in order to investigate network-related effects when exposed to disturbances. Based on historic traffic scenarios, the hybrid simulation platform enables the investigation of the local and global effects of a variety of disruptions. With respect to current flow-based models, it is intended to gain better insights into the underlying interdependencies by modelling higher levels of detail for selected parts, whilst covering the whole European air traffic network. After a validation and first calibration of the approach, Monte Carlo simulations, based on flight plans, are performed as proof of concept. This aims to illustrate the local effects of network-wide disturbances and is applied by means of stochastic influences of ground processes, gained from real operational data.
... Thereby, the potential for short-term disturbances increases with higher traffic volumes in periods of increased connectivity -so-called hub-banks. Disturbances can occur during almost all turnaround sub-processes, which all have a stochastic duration arising from the influence of human behaviour, resource availability and productivity (Fricke and Schultz, 2009;Wu and Caves, 2004b). Only a few studies acknowledge that the turnaround as a whole has a stochastic duration, whereas in many approaches it is simplified into one single process with a deterministic duration (typically the minimum ground time determined by the aircraft manufacturer). ...
... However, arrival and departure flights are considered as independent, even if they are operated by the same aircraft. This assumption presents a major limitation if one respects all dependencies a delayed arrival flight may have on the turnaround (Fricke and Schultz, 2009) and, thus, also on the departure flight of the same aircraft. ...
... Though, despite the availability of stochastic target time prediction models (Wu and Caves, 2004b;Carr et al., 2005;Fricke and Schultz, 2009;Schlegel, 2010), turnaround times are still assumed to be static within the APOC environment. Consequently, system-inherent uncertainties relating to transfer and resource dependencies are largely neglected at the pre-tactical planning level. ...
Thesis
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... This has been attributed to the increase in carry-on luggage. Further, when an aircraft spends more time in an aircraft bay, it restricts another airline's opportunity to serve the same airport and that is a loss to an airport (Silverio et al. 2013;Fricke and Schultz, 2009). Due to this reason alone the airport service providers and airlines collectively concern about reducing the time taken to complete the turnaround process and to improve the process reliability. ...
... More importantly, it has a higher variance in the turnaround process (Schultz and Fricke, 2016). The boarding process amounting to approximately 1/3 of the total turnaround time (Fricke and Schultz, 2009). Moreover, the studies show that the boarding process is completely driven under the control of passengers (Schultz, 2018). ...
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The aircraft boarding process is one of the main activities in the aircraft turnaround process. Improving the reliability of the boarding process has been a major concern of airlines as well as airport service providers. This paper focuses on the activities inside the boarding process and the factors that affect the boarding time and its variability. A Discrete Event Simulation Model is used to analyze these identified factors such as the boarding strategy, the number of luggage, arrival rate, and walking speed of passengers in different stages of the boarding process. The model is then used to compare the impact on average boarding time and its variability by changing these model parameters. Recommendations are given in the conclusion as to what methods would lead to minimizing average time and variability under different circumstances. Further, the new procedures incorporated in the boarding process under COVID-19 regulations are also evaluated.
... The turnaround of each aircraft a ∈ AC is defined by scheduled start and finishing times SIBT e and SOBT f , which are adopted from the schedule. It consists of a network of sub-processes P , in which each sub-process i ∈ P is characterised by a related aircraft (RA i = a) and a related flight (RF i = e, f ), has a variable starting time s i and a duration D i that corresponds to the median of a statistically-fitted time distribution [45]. Links between turnaround sub-processes are determined in the precedence matrix PM ij ⊆ P × P . ...
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We provide a mathematical formulation of flight-specific delay cost functions that enables a detailed tactical consideration of how a given flight delay will interact with all downstream constraints in the respective aircraft rotation. These functions are reformulated into stochastic delay cost functions to respect conditional probabilities and increasing uncertainty related to more distant operational constraints. Conditional probabilities are learned from historical operations data, such that typical delay propagation patterns can support the flight prioritization process as a part of tactical airline schedule recovery. A case study compares the impact of deterministic and stochastic cost functions on optimal recovery decisions during an airport constraint. We find that deterministic functions systematically overestimate potential disruption costs as well as optimal schedule recovery costs in high delay situations. Thus, an optimisation based on stochastic costs outperforms the deterministic approach by up to 15%, as it reveals ‘hidden’ downstream recovery potentials. This results in different slot allocations and in fewer passengers missing their connections.
... Beatty et al. (1999) and AhmadBeygi et al. (2008) used delay trees to track how delays propagate within an airline's network. Fricke and Schultz (2009) analyzed the individual inbound delay's impact on the turnaround process duration and stability. Kafle and Zou (2016) proposed an econometric model to analyze delay propagations. ...
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... Thereby, the turnaround of each aircraft a ∈ A is defined by scheduled start and finishing times SIBT a and SOBT a , which are adopted from the flight plan. It consists of a network of sub-processes P , where each sub-process i ∈ P is characterized by the related aircraft (RA i = a), has a variable starting time s i and a duration D i which corresponds to the 80%-quantile of a statistically-fitted time distribution [11]. Links between turnaround sub-processes are determined in the precedence matrix P M ij ⊆ P × P . ...
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... Later research noticed that turnaround buffer time is taken as a means to reduce propagated delays from previous flight legs. Estimation methods, including survival analysis, quantile regression, and Bayesian models, are used to analyze flight departure delay with delay propagation-related factors [10][11][12][13]. Beside the effect of delay propagation on turnaround, researchers also notice this effect when a flight is airborne. ...
... In this paper, we use the CumDepDelay for DelayDep model and CumArrDelay for DelayArr model to present the departure and arrival congestion, respectively [11]. CumDepDelay and CumArrDelay respectively measure the departure and arrival delays generated in the airports during the past hour. ...
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In recent years, flight delay costs the air transportation industry millions of dollars and has become a systematic problem. Understanding the behavior of flight delay is thus critical. This paper focuses on how flight delay is affected by operation-, time-, and weather-related factors. Different econometric models are developed to analyze departure and arrival delay. The results show that compared to departure delay, arrival delay is more likely to be affected by previous delays and the buffer effect. Block buffer presents a reduction effect seven times greater than turnaround buffer in terms of flight delays. Departure flights suffer more delays from convective weather than arrival flights. Convective weather at the destination airport for flight delay has a greater impact than at the original airport. In addition, sensitivity analysis of flight delays from an aircraft utilization perspective is conducted. We find that the effect of delay propagation on flight delay differs by aircraft utilization. This impact on departure delay is greater than the impact on arrival delay. In general, specific to the order of flights, the previous delay increases the impact on flight on-time performance as a flight flies a later leg. Buffer time has opposite effects on departure and arrival delay, with the order increasing. A decrease in buffer time with the order increasing, however, still has a greater reduction effect on departure delay than arrival delay. Specific to the number of flights operated by an aircraft, the more flights an aircraft flies in a day, the more the on-time performance of those flights will suffer from the previous delay and buffer time generally.
... Those few models which acknowledge the complexity of ground operations, do so for one individual turnaround or for individual resources on a rather microscopic level. Fricke and Schultz (2009) describe the most critical turnaround processes with stochastic time distributions and find that turnaround performance depends on the amount of arrival delay. Kuster et al. (2009) incorporate alternative options for some turnaround subprocesses into their scheduling model to reduce total ground time. ...
... Stochastic process durations have been analysed and case-sensitive probability density functions were determined in prior studies (Fricke and Schultz, 2009;Oreschko et al., 2012;Schultz et al., 2013). From these distributions, mean values are adopted for the respective aircraft type, airport and flight characteristics and used as deterministic parameters in the model. ...
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Most airlines have established integrated hub and operations control centers for the monitoring and adjustment of tactical operations. However, decisions in such a control center are still elaborated manually on the basis of expert knowledge held by several agents representing the interests of different airline departments and local stakeholders. This article studies a concept which incorporates the situational awareness gained by airport-collaborative decision making into an airline-internal decision support system, such that it integrates all available schedule recovery options during aircraft ground operations. The developed mathematical optimization model is an adaptation of the Resource-Constrained Project Scheduling Problem (RCPSP) and incorporates key features from turnaround target time prediction, passenger connection management, tactical stand allocation and ground service vehicle routing into the airline hub control problem. The model is applied in a case study consisting of 20 turnarounds during a morning peak at Frankfurt airport. Schedule recovery performance (resilience) is analyzed for a set of key performance indicators within multiple scenario instances which contain different resource availability and aim at solving various arrival delay situations. Results highlight that a minimization of tactical cost concurrently reduces average departure delay for flight and passengers while recovery performance is substantially affected when some options are not included in the evaluation process. Thus, our concept provides airlines with an optimization approach for constrained airport resources so that total cost and delay resulting from schedule deviations are reduced, which may benefit strategic schedule planning and improve predictability of operations for local collaborators, such as airport, ground handlers and ATM performance.