Monolithic Approach for Next-Generation Aircraft Design Considering Airline Operations and Economics
Abstract
Traditional approaches to the design and optimization of a new system often use a system-centric objective that does not consider how the operator will use this new system alongside other existing systems. When the new system design is incorporated into the broader group of systems, the performance of the operator-level objective can be suboptimal due to the unmodeled interaction between the new system and the other systems. Among the few available references that describe attempts to address this disconnect, most follow an multidisciplinary design and optimization-motivated sequential decomposition approach of first designing an optimal system and then providing this system to the operator who decides the best way to use this new system along with the existing systems. This paper addresses this issue by including aircraft design, airline operations, and revenue management “subspaces”; and it presents an approach that could simultaneously solve these subspaces while posed as a monolithic optimization problem. The monolithic approach makes the problem an expensive mixed-integer nonlinear programming problem and is extremely difficult to solve. A recently developed optimization framework is used that simultaneously solves the subspaces to capture the “synergy” in the problem. The results demonstrate that simultaneously optimizing the subspaces leads to significant improvement in the fleet-level objective of the airline when compared to the previously developed sequential subspace decomposition approach. The results also showcase that maximizing the revenue and minimizing the operating cost independently need not lead to a maximized profit solution for the airline.
References
[1] , “System-of-Systems Inspired Aircraft Sizing and Airline Resource Allocation via Decomposition,” Journal of Aircraft, Vol. 44, No. 4, 2007, pp. 1222–1235. doi:https://doi.org/10.2514/1.26333
[2] , “Variable Resource Allocation Using Multidisciplinary Optimization: Initial Investigations for System of Systems,” AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, AIAA Paper 2004-4605, 2004. doi:https://doi.org/10.2514/6.2004-4605
[3] , “Allocation and Design of Aircraft for On-Demand Air Transportation with Uncertain Operations,” Journal of Aircraft, Vol. 49, No. 1, 2012, pp. 141–150. doi:https://doi.org/10.2514/1.C031452
[4] , “A Mixed Integer Efficient Global Optimization Framework—Applied to the Simultaneous Aircraft Design, Airline Allocation and Revenue Management Problem,” Ph.D. Thesis, Purdue Univ., West Lafayette, IN, 2017.
[5] , “MINLP Solver Software,” GAMS Development Corp., Washington D.C., 2014.
[6] , “A Mixed Integer Efficient Global Optimization Algorithm for the Simultaneous Aircraft Allocation-Mission-Design Problem,” 58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA SciTech Forum, AIAA Paper 2016-1659, 2017. doi:https://doi.org/10.2514/6.2016-1659
[7] , “OpenMDAO: An Open-Source Framework for Multidisciplinary Design, Analysis, and Optimization,” Structural and Multidisciplinary Optimization, Springer (in press).
[8] , “Efficient Global Optimization of Expensive Black-Box Functions,” Journal of Global Optimization, Vol. 13, No. 4, 1998, pp. 455–492. doi:https://doi.org/10.1023/A:1008306431147
[9] , “Improving Kriging Surrogates of High-Dimensional Design Models by Partial Least Squares Dimensional Reduction,” Structural and Multidisciplinary Optimization, Vol. 53, No. 5, 2016, pp. 935–952. doi:https://doi.org/10.1007/s00158-015-1395-9
[10] , Engineering Design via Surrogate Modelling A Practical Guide, Wiley, New York, 2008. doi:https://doi.org/10.1002/9780470770801
[11] , “Dynamic Programming Methods for Concurrent Design and Dynamic Allocation of Vehicles Embedded in a System-of-systems,” Ph.D. Thesis, Purdue Univ., West Lafayette, IN, 2007.
[12] , “Robust Approach for Concurrent Aircraft Design and Airline Network Design,” Journal of Aircraft, Vol. 51, No. 6, 2014, pp. 1773–1783. doi:https://doi.org/10.2514/1.C032442
[13] , “System-of-Systems Approach to Air Transportation Design Using Nested Optimization and Direct Search,” Structural and Multidisciplinary Optimization, Vol. 51, No. 4, 2015, pp. 885–901. doi:https://doi.org/10.1007/s00158-014-1180-1
[14] , “Profit Motivated Airline Fleet Allocation and Concurrent Aircraft Design for Multiple Airlines,” AIAA Paper 2013-4391, 2013. doi:https://doi.org/10.2514/6.2013-4391
[15] , “Platform Design for Fleet-Level Efficiency Under Uncertain Demand: Application for Air Mobility Command (AMC),” AIAA Paper 2013-4328, 2013. doi:https://doi.org/10.2514/6.2013-4328
[16] , “Aircraft Design Optimization for Commercial Air Travel Under Multi-Domain Uncertainties,” AIAA Paper 2017-0127, 2017. doi:https://doi.org/10.2514/6.2017-0127
[17] , “Simultaneous Aircraft Allocation and Mission Optimization Using a Modular Adjoint Approach,” 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA SciTech Forum, AIAA Paper 2015-0900, 2015. doi:https://doi.org/10.2514/6.2015-0900
[18] , “Parallel Allocation-Mission Optimization of a 128-Route Network,” 16th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, AIAA Paper 2015-2321, 2015. doi:https://doi.org/10.2514/6.2015-2321
[19] , “High-Fidelity Design-Allocation Optimization of a Commercial Aircraft Maximizing Airline Profit,” Journal of Aircraft, Vol. 56, No. 3, May 2019, pp. 1164–1178 , doi:https://doi.org/10.2514/1.C035082
[20] , Engineering Optimization: Theory and Practice, Wiley, Hoboken, NJ, 2009, pp. 589–591.
[21] , “An EGO-like Optimization Framework for Simultaneous Aircraft Design and Airline Allocation,” 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA SciTech Forum, AIAA Paper 2016-1659, 2016. doi:https://doi.org/10.2514/6.2016-1659
[22] , Aircraft Design—A Conceptual Approach, AIAA, Reston, VA, 2012. doi:https://doi.org/10.2514/4.104909
[23] , Flight Optimization System (FLOPS), 8th ed., NASA Langley Research Center, ATK Space Division, Hampton, VA, June 2010.
[24] , “Combinatorial Optimization to Include Greener Technologies in a Short-to-Medium Range Commercial Aircraft,” AIAA Paper 2008-8963, 2008. doi:https://doi.org/10.2514/6.2008-8963
[25] , “Hybrid Approach for Multi-Objective Combinatorial Optimization in Search of Greener Aircraft,” AIAA 11th Aviation Technology Integration and Operation (ATIO) Conference, AIAA Paper 2011-6961, 2011. doi:https://doi.org/10.2514/6.2011-6961
[26] , “Multi-Objective Optimization Using a Hybrid Approach for Constrained Mixed Discrete Non-Linear Programming Problems—Applied to the Search for Greener Aircraft,” MSAAE, Master’s Thesis, Purdue Univ., West Lafayette, IN, 2012.
[27] , “Joint Optimization of Airline Pricing and Fare Class Seat Allocation,” Journal of Revenue and Pricing Management, Vol. 12, No. 1, 2013, pp. 83–93. doi:https://doi.org/10.1057/rpm.2012.27
[28] , “The Newsboy Problem with Price-Dependent Demand Distribution,” IIE Transactions, Vol. 20, No. 2, 1988, pp. 168–175. doi:https://doi.org/10.1080/07408178808966166
[29] , “Joint Inventory Allocation and Pricing Decisions for Perishable Products,” International Journal of Production Economics, Vol. 120, No. 1, 2009, pp. 139–150. doi:https://doi.org/10.1016/j.ijpe.2008.07.018
[30] , “Assessing Effects of Aircraft and Fuel Technology Advancement on Select Aviation Environmental Impacts,” Journal of Aircraft, Vol. 54, No. 3, May 2017, pp. 857–869. doi:https://doi.org/10.2514/1.C033861
[31] , “Improved Forecast Accuracy in Airline Revenue Management by Unconstraining Demand Estimates from Censored Data,” Ph.D. Thesis, 2001.
[32] , “AERO—Aviation Emissions and Evaluation of Reduction Options,” Air and Space Europe, Vol. 2, No. 3, 2000, pp. 41–44. doi:https://doi.org/10.1016/S1290-0958(00)80062-3
[33] , The General Algebraic Modeling System: A User’s Guide, GAMS Development Co., Washington, D.C., 1998.
[34] , Numerical Optimization, Springer–Verlag, New York, 2006, pp. 527–571. doi:https://doi.org/10.1007/978-0-387-40065-5
[35] , “SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization,” SIAM Journal on Optimization, Vol. 47, No. 1, 2005, pp. 99–131. doi:https://doi.org/10.1137/S0036144504446096
[36] , “A Mixed Integer Efficient Global Optimization Algorithm with Multiple Infill Strategy—Applied to a Wing Topology Optimization Problem,” AIAA Scitech 2019 Forum, AIAA SciTech Forum, AIAA Paper 2019-2356, 2019. doi:https://doi.org/10.2514/6.2019-2356
[37] , “Next Generation Aircraft Design Considering Airline Operations and Economics,” AIAA Paper 2018-1647, 2018. doi:https://doi.org/10.2514/6.2018-1647