| 1 | Course Introduction and Overview - Airline Schedule Planning, Links to Operations
| Barnhart, C., and K. Talluri. "Airline Operations Research." In Design and Operation of Civil and Environmental Engineering Systems. 1997, pp. 435-469. | | 2-6 | Optimizing Flows on Networks - Time-space Networks
- Constrained Shortest Path Problems on Acyclic Shortest Paths
- Multicommodity Flow Models (Node-arc, Path, Tree, Keypath-continuous and Integer)
- Column and Row Generation Techniques
- Branch-and-Bound
- Branch-and-Price-and-Cut
- Computational Experiences
- OPL Studio
| Desrochers, M., and F. Soumis. "A Generalised Permanent Labelling Algorithm for the Shortest Path Problem with Time Windows." INFOR 26, 3 (1988): 191-212. Barnhart, C., C. L. Hane, E. L. Johnson, and G. Sigismondi. "A Column Generation and Partitioning Approach for Multi-Commodity Flow Problems." Telecommunication Systems 3 (1995): 239-258. Barnhart, C., C. L. Hane, and P. H. Vance (to appear). "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Problems." Operations Research 48, 2 (March-April 2000): 318-326. Barnhart, C., E. L. Johnson, G. L. Nemhauser, M. W. P. Savelsbergh, and P. H. Vance. "Branch-and-Price: Column Generation for Solving Huge Integer Programs." Operations Research 46, 3 (1998): 316-329. | | 7 | The Passenger Mix Model - Model Description and Solution Algorithms
- Review of Results by Kniker, et al. and Sensitivity Analysis of Lohatepanont
| Barnhart, C., C. L. Hane, E. L. Johnson, and G. Sigismondi. "A Column Generation and Partitioning Approach for Multi-Commodity Flow Problems." Telecommunication Systems 3 (1995): 239-258. Barnhart, C., C. L. Hane, and P. H. Vance (to appear). "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Problems." Operations Research 48, 2 (March-April 2000): 318-326. Barnhart, C., E. L. Johnson, G. L. Nemhauser, M. W. P. Savelsbergh, and P. H. Vance. "Branch-and-Price: Column Generation for Solving Huge Integer Programs." Operations Research 46, 3 (1998): 316-329. Lohatepanont, M. "Passenger Mix Problem—portion of Ph.D. dissertation of Lohatepanont." Center for Transportation Studies, Massachusetts Institute of Technology, Cambridge, MA, 2001. | | 8-11 | The Fleet Assignment Problem - Basic Models and Solution Approaches, and their Shortcomings
- Itinerary-based Fleet Assignment- Model and Branch-and-Price-and-Cut Solution Techniques
- Subnetwork-based Fleet Assignment- Model and Solution Approach
- Fleet Assignment Model Extensions to Include Time Windows
- Review of Results
| Hane, C. A., C. Barnhart, E. L. Johnson, R. E. Marsten, G. L. Nemhauser, and G. Sigismondi. "The Fleet Assignment Problem: Solving a Large-Scale Integer Program." Mathematical Programming 70, 2 (1995): 211-232. Barnhart, C., T. Kniker, and M. Lohatepanont. "Itinerary-Based Airline Fleet Assignment." 2000. Transportation Science 36, 2 (May 2002): 199-217. Barnhart, C., A. Farahat, and M. Lohatepanont. "Airline Fleet Assignment: An Alternative Model and Solution Approach Based on Composite Variables." 2001. Submitted to Operations Research (May 2001). Rexing, B., C. Barnhart, T. Kniker, A. Jarrah, and N. Krishnamurthy. "Airline Fleet Assignment with Time Windows." Transportation Science 34, 1 (2000): 1-20.
Sabre Hand-out | | 12-13 | Review and Quiz | | | 14-17 | Crew Scheduling, the Aircraft Routing Problem, and the Integrated Crew Pairing-Aircraft Routing Problem - Crew Pairing Problem, Bidline Generation/Rostering
- Crew Pairing Problem Models and Solution Approaches
- Branch on Follow-ons
- Review of Results of Barnhart, et al.
- Aircraft Routing Problem Models and Solution Approach-constrained Shortest Paths, Branch-and-Price
- Integrated Crew Pairing and Aircraft Routing
| Anbil, R., C. Barnhart, L. Hatay, E. L. Johnson, and V. S. Ramakrishnan. "Crew Pairing Optimization at American Airlines Decision Technologies." In Optimization in Industry: Mathematical Programming and Modeling Techniques in Practice. Edited by T. Ciriano, and R. Leachman. England: John Wiley and Son, 1993, pp. 31-36. Barnhart, C., N. L. Boland, L. W. Clarke, E. L. Johnson, G. L. Nemhauser, and R. G. Shenoi. "Flight String Models for Aircraft Fleeting and Routing." Transportation Science 32, 3 (1998): 208-220. (Focused Issue on Airline Optimization). Barnhart, C., E. L. Johnson, G. L Nemhauser, and P. H. Vance. "Crew Scheduling." In Handbook of Transportation Science. Edited by Randolph W. Hall. Norwell, MA: Kluwer Academic Publisher, 1999, pp. 493-521. Barnhart, C., E. L. Johnson, R. Anbil, and L. Hatay. "A Column Generation Technique for the Long-Haul Crew Assignment Problem." In Optimization in Industry: Volume II. Edited by T. Ciriano, and R. Leachman. England: John Wiley and Son, 1994, 7-22. Desrochers, M., and F. Soumis. "A Generalised Permanent Labelling Algorithm for the Shortest Path Problem with Time Windows." INFOR 26, 3 (1988): 191-212. Cohn, A., and C. Barnhart. "Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions." 2000. Operations Research 51, 3 (May-June 2003): 387-396. | | 18 | Integrated Fleeting Models - Integrated Crew Pairing and Fleet Assignment
- Integrated Aircraft Routing and Fleet Assignment
| Barnhart, C., F. Lu, and R. Shenoi. "Integrated Airline Scheduling." In Operations Research in the Air Industry. International Series in Operations Research and Management Science. Vol. 9. Edited by Prof. Gang Yu. Kluwer Academic Publishers, 1997, pp. 384-403. Barnhart, C., N. L. Boland, L. W. Clarke, E. L. Johnson, G. L. Nemhauser, and R. G. Shenoi. "Flight String Models for Aircraft Fleeting and Routing." Transportation Science 32, 3 (1998): 208-220. (Focused Issue on Airline Optimization). Klabjan Hand-out | | 19-20 | The Schedule Design Problem - Demand and Supply Interactions
- Network Wide, Schedule Improver Model and Solution Approach
- Review of Results
| Lohatepanont, M., and C. Barnhart. "Airline Schedule Planning: Integrated Models and Algorithms for Schedule Design and Fleet Assignment." 2001. Transportation Science (June 2001). | | 21-22 | Operations Recovery - Overview of Operations Control Center
- Aircraft and Passenger Delays
- Flight Postponement and Cancellation Model
- The Role of Simulation
| Bratu S., C. Barnhart. "Real Time Optimization Models to Recover Aircraft Schedules and Minimize Passenger Disruptions." MIT Working Paper, 2003. Jarrah, A., G. Yu, N. Krishnamurthy, and A. Rakshit. "A Decision Support Framework for Airline Flight Cancellations and Delays." Transportation Science 27, 3 (1993). Thengvall, B., Gang Y., and J. Bard. "Balancing User Preferences for Aircraft Schedule Recovery During Irregular Operations." IIE Transactions, 32 (1998): 181-193. | | 23-24 | Robust Scheduling - Robust Crew Scheduling
- Robust Aircraft Routing
- Degradable Schedule Design
| Ageeva, Y. "Approaches to Incorporating Robustness into Airline Scheduling." Master's Thesis, Massachusetts Institute of Technology, 2000. Chebalov, S., and D. Klabjan. "Robust Airline Crew Scheduling: Move-up Crews." Proceedings of the 2002 NSF Design, Service, and Manufacturing Grantees and Research Conference, 2002. Kang, L. S., and J. P. Clarke. "Degradable Airline Scheduling." Working paper, Operations Research Center, Massachusetts Institute of Technology, 2002. Klabjan, D., A. J. Shaefer, E. L. Johnson, and G. L. Nemhauser. "Robust Airlines Crew Scheduling." White papers and reports series, the Logistics Institute, Georgia Institute of Technology, 2002. Rosenberger, J. M., E. L. Johnson, and G. L. Nemhauser. "A Robust Assignment Model with Hub Isolation and Short Cycles." White papers and reports series, the Logistics Institute, Georgia Institute of Technology, 2001. Schaefer, A. J., E. L. Johnson, A. J. Kleywegt, and G. L. Nemhauser. "Airline Crew Scheduling Under Uncertainty." White papers and reports series series, the Logistics Institute, Georgia Institute of Technology, 2001. Yen, J. W., and J. R. Birge. "A Stochastic Programming Approach to the Airline Crew Scheduling Problem." Submitted to Operations Research, 2001. Lan et al. Handout | | 25-26 | Project Presentations and Reports | |
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