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Dr. Brian J. Lunday, Professor of Operations Research

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Dr. Brian J. Lunday is a Professor of Operations Research with the Department of Operational Sciences, Air Force Institute of Technology (AFIT).

His research interests include applications of math programming to represent cooperative and non-cooperative game theoretic interactions including network design, network optimization, network interdiction, facility/resource location, and resource location, assignment, & allocation.

Education

Doctor of Philosophy, Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, 2010

Master of Science, Industrial Engineering, University of Arizona, 2001

Bachelor of Science, Mechanical Engineering (Aerospace Systems), United States Military Academy, 1992; Distinguished Graduate

Awards

HONORS & AWARDS

2024 Richard H. Barchi Prize, Military Operations Research Society (jointly awarded for research with co-authors Camryn E. Deames and Jason R. Anderson)

2023 Outstanding Science and Engineering Educator Award, United States Air Force

2020 Dean’s Distinguished Teaching Professor Award, Air Force Institute of Technology (AFIT)

2020 Gage H. Crocker Outstanding Professor Award, Wright Memorial Chapter, Air Force Association

2020 Faculty Excellence Award, Southern Ohio Consortium of Higher Education (SOCHE)

2019 Dean’s Distinguished Teaching Professor Award, Air Force Institute of Technology (AFIT)

2019 Best Paper recognition, Omega – The International Journal of Management Science (jointly awarded to work with co-author Matthew J. Robbins)

2019 Professor Ezra Kotcher Award, Wright Memorial Chapter, Air Force Association

2018 Lessons Learned Senior Civilian Professional of the Year, United States Air Force

2018 Richard H. Barchi Prize, Military Operations Research Society (jointly awarded for research  with co-authors Matthew J. Robbins, Phillip R. Jenkins, and Nathaniel D. Bastian)

2017 Faculty Excellence Award, Southern Ohio Consortium of Higher Education (SOCHE)

2016 Outstanding Young Member OR/MS Award. INFORMS Cincinnati-Dayton Chapter

2015 ISERC Best Paper Award for the Industrial Engineering in the Military Track

2014 Professor of the Year, Advanced School of Air Mobility (ASAM) program for a Master of Science in Logistics

2014 ISERC Best Paper Award for the Homeland Security Track

2013 Dr. Leslie M. Norton Teaching Excellence Award (AFIT Student Association)

Publications

Google Scholar Page

REFEREED JOURNAL ARTICLES (*denotes student author)

  1. *Cho, P. Y., Chesney, A. J., Wood, A. W., & Lunday, B. J. (202X) Influence of Personnel Factors on Air Force Fighter Mishaps via Bayesian Regression. Military Operations Research.  Accepted for publication on August 19, 2024.  (In press.) 
  2. *Long, C. G., Lunday, B. J., & Jenkins, P. R. (202X) A Multi-objective, Bilevel Methodology to Identify Transportation Distribution Network Vulnerabilities. Annals of Operational Research.  Accepted for publication on March 17, 2025.  (In press.) 
  3. *Donnel, S. D., Lunday, B. J., & Boardman, N. T. (2025) A Multiple Asset-type, Collaborative Vehicle Routing Problem with Proximal Servicing of Demands. European Journal of Operational Research, 321(16), 974-990. Available at: https://doi.org/10.1016/j.ejor.2024.10.009. 
  4. Caballero, W. M., Lunday, B. J., & *Meissner, F. (2024) Regulating the Rebound Effect in the Traveling Purchaser Problem. European Journal of Operational Research, 317(3), 660-677. Available online at: https://doi.org/10.1016/j.ejor.2022.06.045. 
  5. *Choo, N. M., Lunday, B. J., Ahner, D. L., Gaw, N. B., Little, B. D., & McBee, B. K. (2024) Investigating Regional Communication Network Robustness of an Asymmetric Satellite Constellation Design Framework. Journal of Spacecraft and Rockets, 61(3), 798-807. Available online at: https://doi.org/10.2514/1.A35802.
  6. *Donnel, S. D., Lunday, B. J., & Boardman, N. T. (2024) Analysis of a Distributed Command and Control Algorithm to Implement Mosaic Warfare. Military Operations Research, 29(1)1, 5-30. Available at: https://www.jstor.org/stable/27300953.
  7. *Long, C. G., Lunday, B. J., & Jenkins, P. R. (2024) Spatiotemporal Network Vulnerability Identification for the Material Routing Problem: a Bilevel Programming Approach. Military Operations Research, 29(4), 63-88. Available at: https://www.jstor.org/stable/27346178.
  8. Lunday, B. J. (2024) The Maximal Covering Location Disruption Problem. Computers & Operations Research, 169, 106721. Available online at: https://doi.org/10.1016/j.cor.2024.106721.
  9. *Scherer, M. E., Hill, R. R., Lunday, B. J., Cox, B. A., & White, E. D. (2024) Applying Instance Space Based Analysis for Metaheuristic Selection to the 0-1 Multidemand, Multidimensional Knapsack Problem. Computers & Operations Research, 170, 106747. Available online at: https://doi.org/10.1016/j.cor.2024.106747.
  10. *Scherer, M. E., Hill, R. R., Lunday, B. J., Cox, B. A., & White, E. D. (2024) Verifying New Instances of the Multidemand, Multidimensional Knapsack Problem with Instance Space Analysis. Computers & Operations Research, 162, 106477. Available online at: https://doi.org/10.1016/j.cor.2023.106477.
  11. *Liles, J. M., Robbins, M. J., & Lunday, B. J. (2023) Solving Nonstationary Markov Decision Processes via Contextual Decomposition: A Military Air Battle Management Application. Expert Systems with Applications, 233, 120949. Available online at: https://doi.org/10.1016/j.eswa.2023.120949.
  12. *Liles, J. M., Robbins, M. J., & Lunday, B. J. (2023) Improving Air Battle Management Processes by Solving a Stochastic Dynamic Assignment Problem via Approximate Dynamic Programming. European Journal of Operational Research, 305(3), 1435-1449. Available online at: https://doi.org/10.1016/j.ejor.2022.06.031. 
  13. *Logan, A. P., LaCasse P. M., & Lunday, B. J. (2023) Social Network Analysis of Twitter Interactions: A Directed Multilayer Network Approach.  Social Network Analysis and Mining, 13(65), 1-18. (In press.)  Available online at: https://doi.org/10.1007/s13278-023-01063-2.
  14. Caballero, W. M., Jaehn, F., & Lunday, B. J. (2022) Optimizing Labor Costs in Second-generation Truck Platooning under Varied Driver Payment and Platoon Formation Policies. Transportation Science, 56(6), 1549-1572.  Available online at: https://doi.org/10.1287/trsc.2022.1151.
  15. *Haywood, A. B., Lunday, B. J., Robbins, M. J., & Pachter, M. N. (2022) Enterprise Resource Location-Allocation for Intruder Detection and Interdiction. Military Operations Research, 27(3), 55-76. Available online at: https://www.jstor.org/stable/27166356.
  16. *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.
  17. *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.
  18. *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.
  19. *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
  20. *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.
  21. *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.
  22. *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.
  23. *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.
  24. *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.
  25. 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.
  26. *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.
  27. *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.
  28. *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.
  29. *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.
  30. *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.
  31. *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.
  32. *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.
  33. *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.
  34. *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.
  35. 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.
  36. *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.
  37. *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.
  38. *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.
  39. *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.
  40. 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.
  41. *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.
  42. *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.
  43. *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.
  44. *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.
  45. *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.
  46. *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.
  47. *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.
  48. *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.
  49. *Keneally, S. K., Robbins, M. J., & Lunday, B. J. (2016). 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.
  50. 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.
  51. *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.
  52. 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.
  53. *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.
  54. 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.
  55. 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.
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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.
  61. 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.
  62. 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.
  63. 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.
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