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 technical research emphasizes theoretical developments in math programming, game theoretic models, and algorithmic design for global optimization, as well as applications to the areas of network design, network optimization, network interdiction, network restoration, facility/resource location, and resource location/allocation & assignment.  He also serves on the Editorial Board for the journal Military Operations Research.

Prior to beginning service as a USAF Civilian faculty member in 2016, Dr. Lunday served for 24 years as an active duty Army officer in a variety of leadership, combat engineering, military planning, and educational assignments.  Deployable unit assignments included the 25th Infantry Division in Hawaii from 1993-1996 with training deployments to Thailand, Korea, and Japan; the 1st Armored Division in Germany from 1996-1999 with multiple operational deployments to Bosnia-Herzegovina; and the 101st Airborne Division in Kentucky from 2005-2007 with a year-long operational deployment Iraq.  He taught undergraduate mathematics and operations research in the Department of Mathematical Sciences at West Point, NY from 2001-2004 and from 2010-2013, concluding his Army service as an Assistant Professor in the Department of Operational Sciences from 2013-2016.


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



2019/2020 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 Outstanding Reviewer recognition, Journal of Defense Analytics and Logistics

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 Best Reviewer recognition, Omega – The International Journal of Management Science

2018 Inductee, Alpha Iota Delta, the International Honor Society of the Decision Sciences and Computer Information Systems

2017 Richard H. Barchi Prize, Military Operations Research Society (jointly awarded to work 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 IE 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)

2011-2013 Fellow, West Point Network Science Center

2007 DeFluery Award (Bronze), Army Engineer Association

2004 Inductee, Pi Mu Epsilon, Mathematics Honor Society

1992 Distinguished Graduate, United States Military Academy

1992 Inductee, Phi Kappa Phi, Academic Honor Society




Google Scholar Page

REFEREED JOURNAL ARTICLES (*denotes student author)

  1. *Caballero, W. N., Lunday, B. J., & Ahner, D. K. Incentive Compatible Cost Sharing of a Public Good with Probabilistic Inspection and Penalties for Misrepresentation. Group Decision and Negotiation.  Accepted for publication on July 16, 2020. (In press.)
  2. *Caballero, W. N., Lunday, B. J., & Uber, R. P. (202X) Identifying Behaviorally Robust Maximin Strategies for Normal Form Games under Varying Forms of Uncertainty. European Journal of Operational Research. Accepted for publication on June 12, 2020. (In press.) Available online at: https://doi.org/10.1016/j.ejor.2020.06.022
  3. *Jenkins, P. R., Lunday, B. J., & Robbins, M. J. (202X) Robust, Multi-Objective Optimization for the Military Medical Evacuation Location-Allocation Problem. Omega. Accepted for publication on July 15, 2019. (In press.)  Available online at: https://doi.org/10.1016/j.omega.2019.07.004.
  4. *Jenkins, P. R., Robbins, M. J., & Lunday, B. J. (202X) Approximate Dynamic Programming for Military Medical Evacuation Dispatching Policies. INFORMS Journal on Computing. Accepted for publication on August 19, 2019. (In press.)
  5. 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.
  6. *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.
  7. *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.
  8. *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.
  9. *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.
  10. *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.
  11. *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.
  12. 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.
  13. *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.
  14. *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.
  15. *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.
  16. *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.
  17. 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.
  18. *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.
  19. *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.
  20. *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.
  21. *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.
  22. *Hanks, R. W., Weir, J. D., & Lunday, B. J.  (2017).  Robust Goal Programming using Different Robustness Echelons via Norm-based and Ellipsoidal Uncertainty Sets.  European Journal of Operational Research, 262 (2), 636-646.  Available online at: http://doi.org/10.1016/j.ejor.2017.03.072.
  23. *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.
  24. *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.
  25. *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.
  26. Lunday, B. J., & Robbins, M. J. (2016). Informing the Pediatric Vaccine Procurement Policy via the Pediatric Formulary Design, Pricing, and Production Problem. IIE Transactions, 48(12), 1112-1126. Available online at: http://dx.doi.org/10.1080/0740817x.2016.1198064.
  27. *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.
  28. 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.
  29. *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.
  30. *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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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 http://www.sciencedirect.com/science/article/pii/S1366554510000840.
  37. 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.
  38. 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.
  39. 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.
  40. 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.  (In press.)
  2. *Caballero, W. N., *#Kline, A. G., & Lunday, B. J.  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.pdf.  WDSI 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. Submitted to Proceedings of the Western Decision Sciences Institute (W-DSI) . 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).    Available online at http://tinyurl.com/jeubay6.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).   Available online at https://pdfs.semanticscholar.org/3426/9e69974f6a757feab4f329ad980e093dae8c.pdf.  ISERC Best Paper Award for the Homeland Security Track.
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