Alan R. Washburn

Distinguished Professor Emeritus of Operations Research
Naval Postgraduate School, Monterey, CA  93943

PAPERS

Washburn, A.R. “More on Emission Games”, Far East Journal of Applied Mathematics, 108(2), 2020, pp. 81-99.

Washburn, A.R. “Card Shuffling for You and Me”, Far East Journal of Applied Mathematics, 99(4), 2018, pp. 275-288.

Washburn, A.R. “Ratio Game on a Network”, Military Operations Research, 23(1), 2018, pp. 23-29.

Washburn, A.R. “A General Epidemic Model Suitable for Planning”, Far East Journal of Applied Mathematics, 98(1), 2018, pp. 1-30.

Washburn, A.R. and Brown, G. G., "An Exact Method for Finding Shortest Routes on a Sphere, Avoiding Obstacles", Naval Research Logistics 63(5), 2016, pp. 374-385.

Washburn, A.R., and Karatas, M., “Multistatic Search Theory”, Military Operations Research, 20(1), 2015, pp. 21-38.

Washburn, A.R. "Blotto Politics", Operations Research 61(3), 2013, pp. 532-543.

Brown, G., Kline, J., Thomas, A., Washburn, A., and Wood, K., "A Game-Theoretic Model for Defense of an Oceanic Bastion Against Submarines," Military Operations Research, 16(4), 2011, pp. 25-40.

Washburn, A. and Ewing, P.L., "Allocation of Clearance Assets in IED Warfare," Naval Research Logistics, 58(3), 2011, pp.180-187.

Washburn, A.R., “Barrier Games,” Military Operations Research, 15 (3), 2010, pp.31-41.

Washburn, A. “Military Operations Research in the United States”, Communications of the Operations Research Society of Japan, 53(10), 2008, pp. 561-564, in Japanese.

Brown, G.G. and Washburn, A.R., “The Fast Theater Model (FATHM),” Military Operations Research, 12 (4), 2007, pp.33-45.

Brown, G. G., Kline, J., Rosenthal, R., and Washburn, A. R., “Steaming on Convex Hulls,” INTERFACES 37(4), 2007, pp. 342-352. (Awarded U.S. Patent 8,050,849 B1, “Mixed Mode Fuel Minimization” November 1, 2011.)

Washburn, A. R., “Piled Slab Searches”, Operations Research , Vol. 54, 2006, pp. 1193-1200.

Washburn, A. R., “Katz Distributions and Minefield Clearance”, Military Operations Research, 11(3), 2006, pp. 63-74.

Washburn, A. R., “A Sequential Bayesian Generalization of the Jelinski-Moranda Software Reliability Model”, Naval Research Logistics, Vol. 53, 2006, pp. 354-362.

Washburn, A.R., “The Bang-Soak Theory of Missile Attack and Terminal Defense”, Military Operations Research, 10(1), 2005, pp. 15-23.

Glazebrook, K. and Washburn, A.R., “Shoot-Look Shoot: A Review and Extension,” Operations Research, Vol. 52, 2004, pp. 454-463.

Washburn, A.R., “Diffuse Gassian Multiple-Shot Patterns,Military Operations Research, 8(3), 2003, pp.59-64.

Hohzaki, R. and Washburn, A.R., “An Approximation for a Continuous Datum Search Game with Energy Constraint,” Journal of the Operations Research Society of Japan, 46(3), 2003,  pp. 306-318

Hohzaki, R. and Washburn, A.R., “The Diesel Submarine Flaming Datum Problem,Military Operations Research, 6(4), 2001, pp. 19-30.

Washburn, A.R., “Bits, Bangs, or Bucks? The Coming Information Crisis,PHALANX, Vol. 34, No. 3 (Part I) and No. 4 (Part II), 2001.

Read, R.R., Thomas, L., and Washburn, A.R., “Estimating Means When Sampling Gives Probabilities as Well as Values or 'Looking a Gift Horse in the Mouth',” Statistics and Computing, Vol. 10, 2000, pp. 245-252.

Washburn, A.R., “A New Kind of Fictitious Play,” Naval Research Logistics, Vol. 48, 2001, pp. 270-280.

Yost, K. and Washburn, A.R., “Optimizing Assignments of Air-to-Ground Assets and BDA Sensors,Military Operations Research, 5(2), 2000, pp. 77-91.

Yost, K. and Washburn, A.R., “The LP/POMDP Marriage: Optimization with Imperfect Information,” Naval Research Logistics, 47(8), 2000, pp. 607-619.

Washburn, A.R., “A Dithered K-S Statistic,” Communications in Statistics, Theory and Methods, 28(7), 1999.

Washburn, A.R., “Branch and Bound Methods for a Search Problem,” Naval Research Logistics, 45(3), 1998, pp. 243-257.

Washburn, A.R., “The Operations Analysis Curriculum at the Naval Postgraduate School,” Interfaces, Vol. 26, 1996, pp. 71-80.

Washburn, A Wood, K, “Two Person Zero-Sum Games for Network Interdiction,” Operations Research, Vol. 43, 1995, pp. 243-251.

Washburn, A.R., “Finite Method for a Nonlinear Allocation Problem,” Journal of Optimization Theory and Applications, 85(3), 1995, pp. 705-726.

Washburn, A.R., “Dynamic Programming and the Backpacker's Linear Search Problem,” Journal of Computational and Applied Mathematics, Vol. 60, 1995, pp. 357-365.

Washburn, A.R., “Energy-Constrained Pursuit in a Fluid,” Naval Research Logistics, 41(7), 1994, pp. 935-944.

Washburn, A.R., Brown, G.G. and Coulter, D., “Sortie Optimization and Munitions Planning,” Military Operations Research 1(1), 1994, pp. 13-18.

Washburn, A.R., “Military Operations Research,” Operations Research in the Public Sector, Chapter 4, North-Holland, Amsterdam, 1994.

Washburn, A.R., “Present Values with Renewals,” Management Science, Vol. 38, 1992, pp. 846-850.

Washburn, A.R. and Thomas, L., “Dynamic Search Games,” Operations Research, Vol. 39, 1991, pp. 415-422.

Washburn, A.R. and Stone, L., co-eds., “Special Issue on Search Theory,” Naval Research Logistics, 38(4), 1991.

Washburn, A.R. and Eagle, J.N., “Cumulative Search-Evasion Games,” Naval Research Logistics, Vol. 38, 1991, pp. 495-510.

Washburn, A.R., “Still More on Pulling the Goalie,” Interfaces, 21(2), 1991, pp. 59-64.

Washburn, A.R., “Two Person Zero Sum Games,” Operations Research Society of America, 120 pages, 1990.

Washburn, A.R., “Deterministic Graphical Games,” Journal of Mathematical Analysis and Applications, Vol. 153, 1990, pp. 84-96.

Washburn, A.R., “On Not Losing Track,” IEEE Transactions on Automatic Control, Vol. 35, 1990, pp. 852-855.

Washburn, A.R., “Excess Games,” Naval Research Logistics, Vol. 36, 1989, pp. 383-388.

Washburn, A.R., “Golden Developments in Operational Research,” Search Theory, Pergamon Press Publishers, ed. Thomas, L.C., 1987, pp. 67-81.

Washburn, A.R., “Test and Evaluation Education at NPS,” The ITEA Journal of Test and Evaluation, VI, 1985, pp. 32-33.

Washburn, A.R. and  Daly, P.H., “Comments on Accuracy and Tactical Implications of Bearings-only Ranging Algorithms,” Operations Research, Vol. 33, 1985, pp. 104-106.

Washburn, A.R., “On Patrolling a Channel,” Naval Research Logistics Quarterly, Vol. 29, 1983, pp. 609-615.

Washburn, A.R., “Search for a Moving Target:  The FAB Algorithm,” Operations Research, Vol. 31, 1983, pp. 739-751.

Washburn, A.R., “Overlapping Pulse Trains,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 17, 1981, pp. 330-385.

Washburn, A.R., “An Upper Bound Useful in Optimizing Search for a Moving Target,” Operations Research, Vol. 29, 1981, pp. 1227-1230.

Washburn, A.R., “Note on Constrained Maximization of a Sum,” Operations Research, Vol. 29, 1981, pp. 411-414.

Washburn, A.R., Search and Detection, Operations Research Society of America, 200 pages, 1980.

Washburn, A.R., “Search Evasion Game in a Fixed Region,” Operations Research, Vol. 28, 1980, pp. 1290-1298.

Washburn, A.R., “Search for a Moving Target:  Upper Bound on Detection Probability,” Search Theory and Applications (eds. Haley and Stone), Plenum, 1980, pp. 231-237.

Washburn, A.R., “On Search for a Moving Target,” Naval Research Logistics Quarterly, Vol. 27, 1979, pp. 315-322.

Washburn, A.R., “A Computation Method for Matrix Differential Games,” Int. J. of Game Theory, Vol. 6, 1977, pp. 1-10.

Washburn, A.R., “Some Experiments in Search Theory,” Proceedings of the Pacific Conference on Operations Research, 1976, pp. 280-286.

Washburn, A.R., “A Note on Integer Maximization of Unimodal Functions,” Operations Research, Vol. 23, 1975, pp. 358-360.

Washburn, A.R., “Upper and Lower Bounds for a Pattern Bombing Problem,” Naval Research Logistics Quarterly, Vol. 21, 1974, pp. 705-713.

Washburn, A.R., “A Multi-Server Queue With No Passing,” Operations Research, Vol. 22, 1974, pp. 428-434.

Washburn, A.R., Review of book by Eckler and Burr, Operations Research, Vol. 21, 1973, page 1014.

Washburn, A.R., “Note on a Production Inefficiency Function,” AIIE Transactions, 1973, pp. 281-282.

Washburn, A.R., “The Effects of Discounting Profits in the Presence of Learning in the Optimization of Production Rates,” AIIE Transactions, 1972, pp. 205-213.

Washburn, A.R., “A Particular 2-Priority Queue,” Operations Research, Vol. 19, 1971, pp. 1760-1765.

Washburn, A.R., “Probability Density of a Moving Particle,” Operations Research, 17(5), 1969, pp. 861-871.