Dr. Brian J. Lunday, Professor of Operations Research

Bio Photo

 

Contact:
Comm: 937-255-6565 x4624
DSN: 785-6565 x4624
Click to E-mail
View Department

Publications

Google Scholar Page

REFEREED JOURNAL ARTICLES (*denotes student author)

  1. Caballero, W. M., Jaehn, F., & Lunday, B. J. (202X) Optimizing Labor Costs in Second-generation Truck Platooning under Varied Driver Payment and Platoon Formation Policies. Transportation Science. Accepted for publication on April 21, 2022. (In press.) Available online at: https://doi.org/10.1287/trsc.2022.1151.
  2. Caballero, W. M., Lunday, B. J., & *Meissner, F. (202X) Regulating the Rebound Effect in the Traveling Purchaser Problem. European Journal of Operational Research. Accepted for publication on June 21, 2022. (In press.) Available online at: https://doi.org/10.1016/j.ejor.2022.06.045
  3. *Haywood, A. B., Lunday, B. J., Robbins, M. J., & Pachter, M. N. (202X) Enterprise Resource Location-Allocation for Intruder Detection and Interdiction. Military Operations Research. Accepted for publication on November 20, 2021. (In press.)
  4. *Liles, J. M., Robbins, M. J., & Lunday, B. J. Improving Air Battle Management Processes by Solving a Stochastic Dynamic Assignment Problem via Approximate Dynamic Programming. European Journal of Operational Research. Accepted for publication on June 14, 2022. (In press.)  Available online at: https://doi.org/10.1016/j.ejor.2022.06.031.
  5. *Haywood, A. B., Lunday, B. J., & Robbins, M. J. (2022) Intruder Detection and Interdiction Modeling: A Bilevel Programming Approach for Ballistic Missile Defense Asset Location. Omega, 110, 102640. Available at: https://doi.org/10.1016/j.omega.2022.102640.
  6. *Haywood, A. B., Lunday, B. J., Robbins, M. J., & Pachter, M. N. (2022) The Weighted Intruder Path Covering Problem. European Journal of Operational Research, 297(1), 347-358. Available online at: https://doi.org/10.1016/j.ejor.2021.05.038.
  7. *Hornberger, Z. T., Cox, B.A., & Lunday, B. J. (2022) Robust, Optimal Location Modeling and Analysis for Heterogeneous Search and Rescue Assets with Stochastic Demand. Journal of the Operational Research Society, 73(5), 1137-1154. Available online at:  https://doi.org/10.1080/01605682.2021.1877576.
  8. *Hughes, M. S. and Lunday, B. J. (2022) The Weapon Target Assignment Problem: Rational Inference of Adversary Target Utility Valuations from Observed Solutions. Omega.  Accepted for publication on October 23, 2021.  (In press.)  Available online at: https://doi.org/10.1016/j.omega.2021.102562
  9. *Bramblett, L. M., Champagne, L. E., & Lunday, B. J. (2021) Parameterization and Multi-objective Optimization of Range and Loiter Times for Multiple-leg, Turbojet Aircraft Mission Profiles. Military Operations Research, 26(1), 37-57. Available online at:  https://www.jstor.org/stable/26995957.
  10. *Caballero, W. N., Lunday, B. J., & Uber, R. P. (2021) Identifying Behaviorally Robust Maximin Strategies for Normal Form Games under Varying Forms of Uncertainty. European Journal of Operational Research, 388(3), 971-982. Available online at:  https://doi.org/10.1016/j.ejor.2020.06.022.
  11. *Hughes, M. S., Lunday, B. J., Weir, J. D., & Hopkinson, K. M. (2021) The Multiple Shortest Path Problem with Path Deconfliction. European Journal of Operational Research, 292(3), 818-829. Available online at:  https://doi.org/10.1016/j.ejor.2020.11.033.
  12. *Jenkins, P. R., Robbins, M. J., & Lunday, B. J. (2021) Approximate Dynamic Programming for the Military Aeromedical Evacuation Dispatching, Preemption-Rerouting, and Redeployment Problem. European Journal of Operational Research, 290(1), 132-143. Available online at:  https://doi.org/10.1016/j.ejor.2020.08.004.
  13. *Jenkins, P. R., Robbins, M. J., & Lunday, B. J. (2021) Approximate Dynamic Programming for Military Medical Evacuation Dispatching Policies. INFORMS Journal on Computing, 33(1), 2-26. Available online at:  https://doi.org/10.1287/ijoc.2019.0930.
  14. Bastian, W. N., Lunday, B. J., Fisher, C. B. & Hall, A. O. (2020) Models and Methods for Workforce Planning Under Uncertainty:  Optimizing U.S. Army Cyber Branch Readiness and Manning. Omega, 92, 1-13. Available online at:  https://doi.org/10.1016/j.omega.2019.102171.
  15. *Caballero, W. N., & Lunday, B. J. (2020) Robust Influence Modeling under Structural and Parametric Uncertainty:  An Afghan Counternarcotics Use Case. Decision Support Systems, 128, 1-11. Available online at:  https://doi.org/10.1016/j.dss.2019.113161.
  16. *Caballero, W. N., Lunday, B. J., & Ahner, D. K. (2020) Incentive Compatible Cost Sharing of a Public Good with Probabilistic Inspection and Penalties for Misrepresentation. Group Decision and Negotiation, 29, 1021-1055. Available online at:  https://doi.org/10.1007/s10726-020-09693-z.
  17. *Caballero, W. N., Lunday, B. J., & Deckro, R. F. (2020) Leveraging Behavioral Game Theory to Inform Military Operations Planning. Military Operations Research, 25(1), 5-22. Available online at:  https://www.mors.org/Publications/MOR-Journal/Search-Purchase-Issues/2020-MOR-Journal/BKctl/ViewDetails/SKU/MOR250105.
  18. *Caballero, W. N., Lunday, B. J., Deckro, R. F., & Pachter, M. N. (2020) Informing National Security Policy by Modeling Adversarial Inducement and its Governance. Socio-Economic Planning Sciences, 69, 1-15. Available online at:  https://doi.org/10.1016/j.seps.2019.04.006.
  19. *Ferguson, M. D., Hill, R. R., & Lunday, B. J. (2020) A Scenario-Based Parametric Analysis of Stable Marriage Approaches to the Army Officer Assignment Problem. Journal of Defense Analytics and Logistics, 4(1), 89-106. Available online at:  https://www.emerald.com/insight/content/doi/10.1108/JDAL-08-2019-0015/full/pdf.
  20. *Hanks, R. W., Lunday, B. J., & Weir, J. D. (2020) Robust Goal Programming for the Multi-objective Optimization of Data-Driven Problems:  A Use Case for the United States Transportation Command’s Liner Rate Setting Problem. Omega, 90, 1-10. Available online at:  https://doi.org/10.1016/j.omega.2018.10.013.
  21. *Jenkins, P. R., Lunday, B. J., & Robbins, M. J. (2020) Robust, Multi-Objective Optimization for the Military Medical Evacuation Location-Allocation Problem. Omega, 97, 102088. Available online at:  https://doi.org/10.1016/j.omega.2019.07.004.
  22. *Kline, A. G., Ahner, D. K., & Lunday, B. J. (2020) A Heuristic and Metaheuristic Approach to the Static Weapon-Target Assignment Problem. Journal of Global Optimization, 78, 791-812. Available online at:  https://doi.org/10.1007/s10898-020-00938-4.
  23. *McKenna, R. S., Robbins, M. J., Lunday, B. J., & *McCormack, I. M. (2020) Approximate Dynamic Programming for the Military Inventory Routing Problem. Annals of Operations Research, 288, 391-416. Available online at:  https://doi.org/10.1007/s10479-019-03469-8.
  24. Robbins, M. J., *Jenkins, P. R., Bastian, N. D., & Lunday, B. J. (2020) Approximate Dynamic Programming for the Aeromedical Evacuation Dispatching Problem:  Value Function Approximation Utilizing Multiple Level Aggregation. Omega, 91, 1-17. Available online at:  https://doi.org/10.1016/j.omega.2018.12.009.
  25. *Summers, D. S., Robbins, M. J., & Lunday, B. J. (2020) An Approximate Dynamic Programming Approach for Comparing Firing Solutions in a Networked Air Defense Environment. Computers and Operations Research, 117, 1-15. Available online at:  https://doi.org/10.1016/j.cor.2020.104890.
  26. *Caballero, W. N. & Lunday, B. J. (2019) Influence Modeling:  Mathematical Programming Representations of Persuasion under Either Risk or Uncertainty. European Journal of Operational Research, 278 (1), 266-282. Available online at:  https://doi.org/10.1016/j.ejor.2019.04.006.
  27. *Kline, A. G., Ahner, D. K., & Lunday, B. J. (2019) Real-Time Heuristic Algorithms for the Static Weapon Target Assignment Problem. Journal of Heuristics, 25(3), 377-397. Available online at:  https://link.springer.com/article/10.1007/s10732-018-9401-1.
  28. *Lessin, A. M., Lunday, B. J., & Hill, R. R. (2019) A Multi-objective Bilevel Sensor Relocation Problem for Border Security. Institute for Industrial and System Engineering:  Transactions, 51 (10), 1091-1109. Available online at:  https://doi.org/10.1080/24725854.2019.1576952.
  29. Lunday, B. J. & Robbins, M. J. (2019) Collaboratively-developed Vaccine Pricing and Stable Profit Sharing Mechanisms. Omega, 84, 102-113. Available online at:  https://doi.org/10.1016/j.omega.2018.04.007.
  30. *Jenkins, P. R., Robbins, M. J., & Lunday, B. J. (2018) Examining Military Medical Evacuation Dispatching Policies Utilizing a Markov Decision Process Model of a Controlled Queueing System. Annals of Operations Research, 271 (2), 641-678. Available online at:  https://link.springer.com/article/10.1007/s10479-018-2760-z.
  31. *Lessin, A. M., Lunday, B. J., & Hill, R. R. (2018) A Bilevel Exposure-oriented Sensor Location Problem for Border Security. Computers and Operations Research, 98, 56-68. Available online at:  https://doi.org/10.1016/j.cor.2018.05.017.
  32. *Boardman, N. T., Lunday, B. J., & Robbins, M. J. (2017) Heterogeneous Surface-to-Air Missile Defense Battery Location:  A Game Theoretic Approach. Journal of Heuristics, 23(6), 417-447. Available online at:  https://doi.org/10.1007/s10732-017-9350-0.
  33. *Davis, M. T., Robbins, M. J., & Lunday, B. J. (2017). Approximate Dynamic Programming for Missile Defense Interceptor Fire Control. European Journal of Operational Research, 259(3), 873-886. Available online at:  https://doi.org/10.1016/j.ejor.2016.11.023.
  34. *Hanks, R. W., Weir, J. D., & Lunday, B. J. (2017). Robust Goal Programming using Different Robustness Echelons via Alternative Uncertainty Sets. European Journal of Operational Research, 262(2), 636-646. Available online at:  http://doi.org/10.1016/j.ejor.2017.03.072.
  35. *Paul, N. R., Lunday, B. J., & Nurre, S. G. (2017). A Multiobjective, Maximal Conditional Covering Location Problem applied to the Relocation of Hierarchical Emergency Response Facilities. Omega, 66, 147-158. Available online at http://dx.doi.org/10.1016/j.omega.2016.02.006.
  36. *Connors, C. D., Miller, J. O., & Lunday, B. J. (2016). Using Agent-based Modeling and a Designed Experiment to Simulate and Analyze a New Air-to-Air Missile. Journal of Defense Modeling and Simulation, 13(3), 321-330. Available online at https://doi.org/10.1177/1548512915616873.
  37. *Han, C. Y., Lunday, B. J., & Robbins, M. J. (2016). A Game Theoretic Model for the Optimal Disposition of Integrated Air Defense Missile Batteries. INFORMS Journal on Computing, 28(3), 405-416. Available online at http://dx.doi.org/10.1287/ijoc.2016.0690.
  38. Lunday, B. J., & Robbins, M. J. (2016). Informing the Pediatric Vaccine Procurement Policy via the Pediatric Formulary Design, Pricing, and Production Problem. Institute for Industrial Engineering - Transactions, 48(12), 1112-1126. Available online at:  http://dx.doi.org/10.1080/0740817x.2016.1198064.
  39. *Rettke, A. J., Robbins, M. J., & Lunday, B. J. (2016). Approximate Dynamic Programming for the Dispatch of Military Medical Evacuation Assets, European Journal of Operational Research, 254(3), 824-839. Available online at http://dx.doi.org/10.1016/j.ejor.2016.04.017.
  40. Robbins, M. J. & Lunday, B.J. (2016). A Bilevel Formulation of the Pediatric Vaccine Pricing Problem. European Journal of Operational Research, 248(2), 634-645. Available online at http://dx.doi.org/10.1016/j.ejor.2015.06.075.
  41. *Kannon, T. E., Nurre, S. G., Lunday, B. J., & Hill, R. R. (2015). The Aircraft Routing Problem with Refueling. Optimization Letters, 9(8), 1609-1624. Available online at http://dx.doi.org/10.1007/s11590-015-0849-8.
  42. *Keneally, S. K., Robbins, M. J., & Lunday, B. J. (2014). A Markov Decision Process Model for the Optimal Dispatch of Military Medical Evacuation Assets, Health Care Management Science, 19(2), 111-129. Available online at http://dx.doi.org/10.1007/s10729-014-9297-8.
  43. Lunday, B. J. (2014). A Metric to Identify Gerrymandering. International Journal of Society Systems Science, 6(3), 285-304. Available online at http://dx.doi.org/10.1504/ijsss.2014.065207.
  44. Sherali, H. D., & Lunday, B. J. (2013). On Generating Maximal Nondominated Benders Cuts. Annals of Operations Research, 210(1), 57-72. Available online at http://dx.doi.org/10.1007/s10479-011-0883-6.
  45. Lunday, B. J., & Sherali, H. D. (2012). Minimizing the maximum network flow:  models and algorithms with resource synergy considerations. Journal of the Operational Research Society, 63(12), 1693-1707. Available online at http://dx.doi.org/10.1057/jors.2012.8.
  46. Lunday, B. J., & Sherali, H. D. (2012). Network interdiction to minimize the maximum probability of evasion with synergy between applied resources. Annals of Operations Research, 196(1), 411-442. Available online at http://dx.doi.org/10.1007/s10479-012-1135-0.
  47. Lunday, B. J., Sherali, H. D., & Lunday, K. E. (2012). The coastal seaspace patrol sector design and allocation problem. Computational Management Science, 9(4), 483-514. Available online at http://dx.doi.org/10.1007/s10287-012-0152-4.
  48. Sherali, H. D., & Lunday, B. J. (2011). Equitable apportionment of railcars within a pooling agreement for shipping automobiles. Transportation Research Part E:  Logistics and Transportation Review, 47(2), 263-283. Available online at https://doi.org/10.1016/j.tre.2010.09.005.
  49. Lunday, B. J., & Sherali, H. D. (2010). A dynamic network interdiction problem. Informatica, 21(4), 553-574. Available online at http://content.iospress.com/articles/informatica/inf21-4-06.
  50. Lunday, B. J., Sherali, H. D., & Glickman, T. S. (2010). The nested event tree model with application to combating terrorism. INFORMS Journal on Computing, 22(4), 620-634. Available online at http://dx.doi.org/10.1287/ijoc.1100.0377.
  51. Huber, M. R., & Lunday, B. J. (2006). Success in learning mathematics by modelling word problems. Teaching Mathematics and its Applications, 25(4), 161-167. Available online at http://dx.doi.org/10.1093/teamat/hri032.
  52. Lunday, B. J., Smith, J. C., & Goldberg, J. B. (2005). Algorithms for solving the conditional covering problem on paths. Naval Research Logistics, 52(4), 293-301. Available online at http://dx.doi.org/10.1002/nav.20074.

 

CONFERENCE PROCEEDINGS  (*denotes student author; # denotes presenter)

  1. #Bastian, W. N., Fisher, C. B., Hall, A. O., & Lunday, B. J. (2019) Optimizing Army Cyber Branch Readiness and Manning Under Uncertainty:  A Stochastic Goal Programming Approach. Proceedings of the INFORMS Winter Simulation Conference, December 8-11, 2019, National Harbor, MD. Available online at:  https://www.informs-sim.org/wsc19papers/234.pdf
  2. *Caballero, W. N., *#Kline, A. G., & Lunday, B. J. (2018) Challenges and Solutions with Exponentiation Constraints using Decision Variables via the BARON Commercial Solver. In Proceedings of the Industrial and Systems Engineering Research Conference (ISERC), May 19-22, 2018, Orlando, FL. Available online at https://www.xcdsystem.com/iise/2018_proceedings/papers/SubmitFinalPaper_1334_0302010321.pdf
  3. *#Lessin, A. M. & Lunday, B. J. (2018). A Multi-objective Bilevel Optimization Model for the Relocation of Integrated Air Defense System Assets. In Proceedings of the Western Decision Sciences Institute (W-DSI), April 3-6, 2018, Kauai, HI. Available online at http://wdsinet.org/Annual_Meetings/2018_Proceedings/papers/cr13.pdfWDSI Best Graduate Student Paper.
  4. #Hanks, R. W., Weir, J. D., Lunday, B. J., & Robbins, M. J. (2017). Mapping a Decision Maker’s Risk Attitude to Robust Goal Programming Parameters. In Proceedings of the Western Decision Sciences Institute (W-DSI), April 4-8, 2017, Vancouver, Canada. Available online at http://www1.pacific.edu/~ahuang/WDSI2017Proceedings/CR%20PDF/cr114.pdf
  5. *#Craig, R. R., #Lunday, B. J., Hill, R. R., & Nesbitt, P. A. (2015). The Military Theater Distribution Network Design Problem. In Proceedings of the Industrial and Systems Engineering Research Conference (ISERC), May 30 – June 2, 2015, Nashville, TN. Available online at https://search.proquest.com/docview/1791989190?pq-origsite=gscholar ISERC Best Paper Award for the IE in the Military Track.
  6. *Kannon, T. E., #Nurre, S. G., Lunday, B. J., & Hill, R. R. (2014). The Aircraft Routing Problem with Refueling:  Exact and Greedy Approaches. In Proceedings of the Industrial and Systems Engineering Research Conference (ISERC), May 31 – June 3, 2014, Montreal, Canada. Available online at https://pdfs.semanticscholar.org/3426/9e69974f6a757feab4f329ad980e093dae8c.pdf.  ISERC Best Paper Award for the Homeland Security Track.

 

ARTICLES AND EDITORIALS IN PROFESSIONAL PUBLICATIONS AND PERIODICALS

  1. Jenkins, P. R., Lunday, B. J., & Robbins, M. J. (2021) Optimising Aerial Military Medical Evacuation Dispatching Decisions via Operations Research Techniques. BMJ Military Health. Accepted for publication on December 1, 2020. (In press.) Available online at http://dx.doi.org/10.1136/bmjmilitary-2020-001631.
  2. Jenkins, P. R., Lunday, B. J., & Robbins, M. J. (2020) Aerial MEDEVAC Operations:  Decision-making under Uncertainty to Save Lives. Phalanx, (March), 63-66. Available online at https://www.jstor.org/stable/26902402.
  3. Jenkins, P. R., Lunday, B. J., & Robbins, M. J. (2020) Artificial Intelligence for Medical Evacuation in Great-Power Conflict. War on the Rocks. Available online at https://warontherocks.com/2020/09/artificial-intelligence-for-medical-evacuation-in-great-power-conflict/.

 

Return to the top of the page

Air Force Institute of Technology
2950 Hobson Way
Wright-Patterson Air Force Base, OH 45433-7765
Commercial: 937-255-6565 | DSN: 785-6565