Optimizing integrated airport surface and terminal airspace operations under uncertainty

Bosson, Christabelle S. PhD, Purdue University, December 2015. Optimizing Integrated Airport Surface and Terminal Airspace Operations under Uncertainty. Major Professor: Dengfeng Sun. In airports and surrounding terminal airspaces, the integration of surface, arrival and departure scheduling and routing have the potential to improve the operations e ciency. Moreover, because both the airport surface and the terminal airspace are often altered by random perturbations, the consideration of uncertainty in flight schedules is crucial to improve the design of robust flight schedules. Previous research mainly focused on independently solving arrival scheduling problems, departure scheduling problems and surface management scheduling problems and most of the developed models are deterministic. This dissertation presents an alternate method to model the integrated operations by using a machine job-shop scheduling formulation. A multistage stochastic programming approach is chosen to formulate the problem in the presence of uncertainty and candidate solutions are obtained by solving sample average approximation problems with finite sample size. The developed mixed-integer-linear-programming algorithm-based scheduler is capable of computing optimal aircraft schedules and routings that reflect the integration of air and ground operations. The assembled methodology is applied to a Los Angeles case study. To show the benefits of integrated operations over First-Come-First-Served, a preliminary proofof-concept is conducted for a set of fourteen aircraft evolving under deterministic conditions in a model of the Los Angeles International Airport surface and surrounding terminal areas. Using historical data, a representative 30-minute tra c schedule and aircraft mix scenario is constructed. The results of the Los Angeles application show that the integration of air and ground operations and the use of a time-based

[1]  Xian Zhou,et al.  Stochastic scheduling to minimize expected maximum lateness , 2008, Eur. J. Oper. Res..

[2]  Shangyao Yan,et al.  Optimization of multiple objective gate assignments , 2001 .

[3]  Ezequiel A. Di Paolo,et al.  Binary-Representation-Based Genetic Algorithm for Aircraft Arrival Sequencing and Scheduling , 2008, IEEE Transactions on Intelligent Transportation Systems.

[4]  Hamsa Balakrishnan,et al.  A Framework for Coordinated Surface Operations Planning at Dallas-Fort Worth International Airport , 2007 .

[5]  Ioane Muni Toke,et al.  Parallel Iterative Linear Solvers on GPU: A Financial Engineering Case , 2010, 2010 18th Euromicro Conference on Parallel, Distributed and Network-based Processing.

[6]  Lucio Bianco,et al.  Scheduling Models and Algorithms for TMA Traffic Management , 1997 .

[7]  Wooseung Jang,et al.  Dynamic scheduling of stochastic jobs on a single machine , 2002, Eur. J. Oper. Res..

[8]  Henry Y. K. Lau,et al.  Integrated Optimization of Airport Taxiway and Runway Scheduling , 2014 .

[9]  Amedeo R. Odoni,et al.  A Stochastic Integer Program with Dual Network Structure and Its Application to the Ground-Holding Problem , 2003, Oper. Res..

[10]  Hanif D. Sherali,et al.  Enhanced Models for a Mixed Arrival-Departure Aircraft Sequencing Problem , 2014, INFORMS J. Comput..

[11]  Regina R. Clewlow,et al.  Impact of Arrivals on Departure Taxi Operations at Airports , 2010 .

[12]  Heming Chen,et al.  Multiple-Point Integrated Scheduling of Terminal Area Traffic , 2011 .

[13]  Min Xue,et al.  Optimizing integrated terminal airspace operations under uncertainty , 2014, 2014 IEEE/AIAA 33rd Digital Avionics Systems Conference (DASC).

[14]  Sheik Meeran,et al.  Deterministic job-shop scheduling: Past, present and future , 1999, Eur. J. Oper. Res..

[15]  Alexander Shapiro,et al.  On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs , 2000, SIAM J. Optim..

[16]  Arthur Richards,et al.  Optimization of Taxiway Routing and Runway Scheduling , 2008, IEEE Transactions on Intelligent Transportation Systems.

[17]  Min Xue,et al.  GPU-based Parallelization for Schedule Optimization with Uncertainty , 2014 .

[18]  Nick Johnson,et al.  Super Density Operations Airspace Modeling for the Southern California Metroplex , 2011 .

[19]  Antonio Sassano,et al.  A Combinatorial Optimization Approach to Aircraft Sequencing Problem , 1987 .

[20]  Michael Kupfer.  Scheduling Aircraft Landings to Closely Spaced Parallel Runways , 2009 .

[21]  B. Chandran,et al.  A Dynamic Programming Algorithm for Robust Runway Scheduling , 2007, 2007 American Control Conference.

[22]  Edmund K. Burke,et al.  A Metaheuristic Approach to Aircraft Departure Scheduling at London Heathrow Airport , 2008 .

[23]  Yoon C. Jung,et al.  Managing departure aircraft release for efficient airport surface operations , 2010 .

[24]  S. Rathinam,et al.  AN OPTIMIZATION MODEL FOR REDUCING AIRCRAFT TAXI TIMES AT THE DALLAS FORT WORTH INTERNATIONAL AIRPORT , 2008 .

[25]  John-Paul Clarke,et al.  Runway Operations Optimization in the Presence of Uncertainties , 2010 .

[26]  Gustaf Solveling.  Stochastic programming methods for scheduling of airport runway operations under uncertainty , 2012 .

[27]  Brian Capozzi,et al.  A Hybrid Optimization Approach to Air Traffic Management for Metroplex Operations , 2010 .

[28]  Seongim Choi,et al.  Towards Optimal Routing and Scheduling of Metroplex Operations , 2009 .

[29]  M. Simons.  A functional analysis of integrated arrival, departure, and surface operations in NextGen , 2012, 2012 IEEE/AIAA 31st Digital Avionics Systems Conference (DASC).

[30]  Harilaos N. Psaraftis,et al.  A Dynamic Programming Approach for Sequencing Groups of Identical Jobs , 1980, Oper. Res..

[31]  P. R. Waal,et al.  An Optimisation Model for Airport Taxi Scheduling , 2004 .

[32]  Cerry M. Klein,et al.  Single machine stochastic scheduling to minimize the expected number of tardy jobs using mathematical programming models , 2005, Comput. Ind. Eng..

[33]  Chandrasekar Sureshkumar.  Throughput analysis for the National Airspace System , 2012 .

[34]  Gillian Clare,et al.  Air traffic flow management under uncertainty: application of chance constraints , 2012, ATACCS.

[35]  Hanbong Lee,et al.  A comparison of two optimization approaches for airport taxiway and runway scheduling , 2012, 2012 IEEE/AIAA 31st Digital Avionics Systems Conference (DASC).

[36]  Yosef S. Sherif,et al.  AN ALGORITHM FOR COMPUTER ASSISTED SEQUENCING AND SCHEDULING OF TERMINAL AREA OPERATIONS , 1991 .

[37]  Jane Thipphavong,et al.  Design Considerations for a New Terminal Area Arrival Scheduler , 2010 .

[38]  Dimitris Bertsimas,et al.  Multistage Air Traffic Flow Management under Capacity Uncertainty: A Robust and Adaptive Optimization Approach , 2011 .

[39]  Nicolas Durand,et al.  Airport surface management and runways scheduling , 2009 .

[40]  David Abramson,et al.  Scheduling Aircraft Landings - The Static Case , 2000, Transp. Sci..

[41]  Min Xue,et al.  Uncertainty Analysis of Integrated Departures and Arrivals: A Los Angeles Case Study , 2013 .

[42]  Heinz Erzberger,et al.  Analysis of delay reducing and fuel saving sequencing and spacing algorithms for arrival traffic , 1991 .

[43]  Hamsa Balakrishnan,et al.  Scheduling Aircraft Landings under Constrained Position Shifting , 2006 .

[44]  H. M. Soroush,et al.  Minimizing the weighted number of early and tardy jobs in a stochastic single machine scheduling problem , 2007, Eur. J. Oper. Res..

[45]  Jeffrey S. Smith,et al.  Algorithms for single machine total tardiness scheduling with sequence dependent setups , 2006, Eur. J. Oper. Res..

[46]  Min Xue,et al.  Optimal Integration of Departures and Arrivals in Terminal Airspace , 2012 .

[47]  Yoon C. Jung,et al.  A Mixed Integer Linear Program for Airport Departure Scheduling , 2009 .

[48]  Mark Hansen,et al.  DYNAMIC STOCHASTIC OPTIMIZATION MODEL FOR AIR TRAFFIC FLOW MANAGEMENT WITH EN ROUTE AND AIRPORT CAPACITY CONSTRAINTS , 2005 .

[49]  Min Xue,et al.  Optimization of Integrated Departures and Arrivals Under Uncertainty , 2013 .

[50]  Shannon Zelinski.  A framework for integrating arrival, departure, and surface operations scheduling , 2014, 2014 IEEE/AIAA 33rd Digital Avionics Systems Conference (DASC).

[51]  A. Shapiro,et al.  The Sample Average Approximation Method for Stochastic Programs with Integer Recourse , 2002 .

[52]  Mark Hansen,et al.  A Dynamic Stochastic Model for the Single Airport Ground Holding Problem , 2007, Transp. Sci..

[53]  P. C. Roling,et al.  Optimal airport surface traffic planning using mixed-integer linear programming , 2008 .

[54]  Karol Miller,et al.  Real-Time Nonlinear Finite Element Computations on GPU - Application to Neurosurgical Simulation. , 2010, Computer methods in applied mechanics and engineering.

[55]  Roger George Dear.  The dynamic scheduling of aircraft in the near terminal area , 1976 .

[56]  Heinz Erzberger,et al.  Improvement of Trajectory Synthesizer for Efficient Descent Advisor , 2011 .

[57]  John-Paul Clarke,et al.  Identification of flow constraint and control points in departure operations at airport systems , 1998 .

[58]  Zhifan Zhu,et al.  Validation of Simulations of Airport Surface Traffic with the Surface Operations Simulator and Scheduler , 2013 .

[59]  Amedeo R. Odoni,et al.  Dynamic solution to the ground-holding problem in air traffic control , 1994 .

[60]  Shawn A. Engelland,et al.  Trajectory-Based Takeoff Time Predictions Applied to Tactical Departure Scheduling: Concept Description, System Design, and Initial Observations , 2011 .

[61]  Alexander Martin,et al.  Robust Runway Scheduling using a time-indexed model , 2014 .

[62]  Banavar Sridhar,et al.  A Generalized Dynamic Programming Approach for a Departure Scheduling Problem , 2009 .

[63]  Monish Tandale,et al.  Massively Parallel Optimal Solution to the Nationwide Traffic Flow Management Problem , 2013 .

[64]  Laurel Stell.  Prediction of Top of Descent Location for Idle-thrust Descents , 2011 .

[65]  Nam Sung Kim,et al.  The case for GPGPU spatial multitasking , 2012, IEEE International Symposium on High-Performance Comp Architecture.