Submitted (under review or revision):

Pingel, Rachael L., Mark A. Abramson, Thomas J. Asaki, J. E. Dennis, Jr.  Characteristic shape sequences for measures on images.  Under revision.  Also appears as Rice CAAM Technical Report #TR06-17.

Abramson, Mark A., Charles Audet, James W. Chrissis, and Jennifer G. Walston.  Mesh adaptive direct search algorithms for mixed variable optimization.  Submitted.

Abramson, Mark A., Thomas J. Asaki, J. E. Dennis, Jr., Kevin R. O'Reilly, and Rachael L. Pingel.  Quantitative object reconstruction via Abel-based x-ray tomography and mixed variable optimization.  Submitted.  Also appears as Technical Report #TR07-03, Rice University, Department of Computational and Applied Mathematics (CAAM), 2007.

Sriver, Todd A., James W. Chrissis, and Mark A. Abramson.  Pattern search ranking and selection algorithms for mixed variable simulation-based optimization.  Submitted.

Refereed Publications:

Sherman, N. P., J. P. Kharoufeh, and Mark A. Abramson.  An M/G/1 retrial queue with unreliable server for streaming multimedia applications.  Probability in the Engineering and Informational Sciences, to appear.

Abramson, Mark A., Olga A. Brezhneva, J. E. Dennis, Jr., and Rachael L. Pingel.  Pattern search in the presence of degenerate linear constraints.  Optimization Methods and Software, to appear.

Beal, Josh M., Amit Shukla, Olga A. Brezhneva, and Mark A. Abramson.  Optimal sensor placement for enhancing sensitivity to change in stiffness for structural health monitoring.   Optimization and Engineering, to appear (published on-line).

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr. (2007)  Filter pattern search algorithms for mixed variable constrained optimization problems.  Pacific Journal of Optimization 3 (3), 477-500.

Abramson, Mark A. and Charles Audet (2006).  Convergence of mesh adaptive direct search to second-order stationary points.  SIAM Journal on Optimization 17 (2), 606-619.

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr. (2006).  Nonlinear programing with mesh adaptive direct searches.  SIAG/Optimization Views-and-News 17 (1), 2-11.

Abramson, Mark A. (2005).   Second-order behavior of pattern search.  SIAM Journal on Optimization 16 (2), 515-530.

Abramson, Mark A. (2004).   Mixed variable optimization of a load-bearing thermal insulation system using a filter pattern search algorithm.  Optimization and Engineering 5 (2), 157-177.

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr. (2004).  Generalized pattern searches with derivative information.  Mathematical Programming, Series B 100 (1), 3-25.

Abramson, Mark A. and James W. Chrissis (1998).  Sequential quadratic programming and the ASTROS structural optimization system.  Structural Optimization 15 (1), 24-32.

Works in-progress:

Raymond Magallanez, Mark A. Abramson, Thomas J. Asaki, and J. E. Dennis, Jr.  Black box optimization with computationally expensive CPU-time-correlated functions.

Abramson, Mark A., Lennart Frimannslund, and Trond Steihaug.  Title TBA.

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr. Title TBA.

Abramson, Mark A.  NOMADm: A suite of MATLAB codes for mixed variable black box constrained optimization.

Lightly Refereed Publications:

Abramson, Mark A., T. Lewis, S. Reynolds, S. Long, D. Blazer, and W. Faulkner (1997).  Optimal allocation of assets in a multi-echelon inventory environment.  Proceedings of the Air Force Logistics Symposium 1997, Wright-Patterson AFB OH: April 14-16, 1997.

Abramson, Mark A. and Harry A. Berry (1996).  Applying neural networks to demand forecasting.  Air Force Journal of Logistics XX (3/4), 1-4,9.  * Reprinted in Logistics on the Move, Air Force Logistics Management Agency (AFLMA), April 1999, 47-51.

Smith, Stella, Mark A. Gray, and Mark A. Abramson (1996).  Individual mobilization augmentees in logistics.  Air Force Journal of Logistics XX (1), 14-16. 

Conference Presentations:

Abramson, Mark A., Thomas J. Asaki, J. E. Dennis, Jr., Kevin R. O'Reilly, and Rachael L. Pingel.   Quantitative object reconstruction tomography by mixed variable optimization.   INFORMS Midwest Regional Conference, Northwestern University, Evanston, Illinois, August 24-25, 2007.

Abramson, Mark A., Thomas J. Asaki, J. E. Dennis, Jr., Kevin R. O'Reilly, and Rachael L. Pingel.   Quantitative object reconstruction via x-ray tomography, Abel transforms, and mixed variable optimization.   Second International Conference on Continuous Optimization (ICCOPT-II), McMaster University, Hamilton, Ontario, Canada, August 12-16, 2007.

Walston, Jennifer, James W. Chrissis, and Mark A. Abramson.   Search techniques for multi-objective optimization of mixed-variable systems having stochastic responses.   22nd European Conference on Operational Research, Prague, Czech Republic, July 8-11, 2007.

Abramson, Mark A., Charles Audet, Gilles Couture, and John E. Dennis, Jr.   Mesh adaptive direct search algorithms for black box constrained optimization, AFOSR Program Meeting, Arlington, Virginia, May 7-9, 2007.

Abramson, Mark A., Thomas J. Asaki, J. E. Dennis, Jr., Kevin R. O’Reilly, and Rachael L. Pingel   Quantitative object reconstruction using x-ray tomography and mixed variable optimization.   AMS Sectional Meeting, Miami University, Oxford, Ohio, March 16-17, 2007.

*Juan C. Meza, Aran Garcia-Lekue, Mark Abramson, and John Dennis, Jr.   Surface structure determination of nanostructures using a mesh adaptive optimization method.   SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February 19-23, 2007.

Abramson, Mark A., Arantzazu Garcia-Lekue, Juan C. Meza, and J. E. Dennis, Jr.   NOMADm: A MATLAB software package for surrogate-based black box optimization.   SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February 19-23, 2007.

Aran Garcia-Lekue, *Juan C. Meza, Mark A. Abramson, J. E. Dennis, Jr., and M. V. Van Hove.   Surface structure determination using simplified physics surrogates.   Second International Workshop on Surrogate Modelling and Space Mapping for Engineering Optimization, Technical University of Denmark, Lyngby, Denmark, November 9-11, 2006.

Abramson, Mark A., Kevin R. O’Reilly, Thomas J. Asaki, Rachael L. Pingel, and J. E. Dennis, Jr.   Quantitative object reconstruction using x-ray tomography and mixed variable optimization.   INFORMS Annual Meeting, Pittsburgh, Pennsylvania, November 5-8, 2006.

Abramson, Mark A.   Direct search methods and second-order optimality conditions.   8th Midwest Optimization Meeting, October 13-14, 2006.

Abramson, Mark A., Kevin R. O'Reilly, Thomas J. Asaki, Rachael L. Pingel, J. E. Dennis, Jr., and James W. Chrissis.   Quantitative object reconstruction using x-ray tomography and mixed variable optimization.   INFORMS Military Applications Society Conference, Mystic, Connecticut, July 24-26, 2006.

Abramson, Mark A. and Charles Audet.   Second-order convergence of mesh adaptive direct search.   INFORMS Annual Meeting, San Francisco, California, November 13-16, 2005.

*Kharoufeh, Jeffery P. and Mark A. Abramson.   Optimal periodic inspection of a system subject to wear and shock degradation.   INFORMS Annual Meeting, San Francisco, California, November 13-16, 2005.

Abramson, Mark A.   Second-order convergence of some direct search methods.   SIAM Conference on Optimization, Stockholm, Sweden, May 15-18, 2005.

Brezhneva, Olga A., Mark A. Abramson, and J. E. Dennis, Jr.   Pattern search methods under the presence of degeneracy.   SIAM Conference on Optimization, Stockholm, Sweden, May 15-18, 2005.

Abramson, Mark A.   An introduction to applied optimization.   Tutorial, 1st AIAA Multidisciplinary Design Optimization Specialist Conference, Austin, Texas, April 18-21, 2005.

Abramson, Mark A.   Direct search methods for engineering optimization.   53rd Test Wing Scientist and Engineer Conference, Eglin AFB, Florida, February 8-10, 2005.

Abramson, Mark A.   Second-order behavior of pattern search.   First International Conference on Continuous Optimization (ICCOPT-I), Renssalaer Polytechnic Institute, Troy, New York, August 2-4, 2004.

Abramson, Mark A. and Gilles Couture.   NOMAD and NOMADm: software demonstrations.   Surrogate Optimization Workshop, Rice University, Houston, Texas, May 24-25, 2004.

Abramson, Mark A.   A second-order analysis of pattern search.   Optimization Days 2004, Montreal, Canada, May 10-12, 2004.

Abramson, Mark A.   Pattern search algorithms for mixed variable optimization.   Air Force Operations Research Symposium 2003, Hanscom AFB, Massachusetts, October 22-24, 2003.

Abramson, Mark A.   Applying a mixed variable filter pattern search algorithm to thermal insulation system design.   18th International Symposium on Mathematical Programming (ISMP), Technical University of Denmark, Copenhagen, Denmark, August 18-22, 2003.

Abramson, Mark A.   NOMADm: A new software package for mixed variable constrained optimization.   71th Military Operations Research Society Symposium (MORSS) 2003, Marine Base Quantico, Virginia: June 10-12, 2003.

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr.   Optimization using surrogates for engineering.   Los Alamos Computer Science Institute (LACSI) Symposium 2002, Los Alamos, New Mexico, October 13-16, 2002.

Abramson, Mark A.   Application of generalized pattern search methods to the design of a load-bearing thermal insulation system.   SIAM Conference on Optimization, Toronto, Canada, May 20-22, 2002.

Abramson, Mark A.   Applying GPS to optimize the design of a load-bearing thermal insulation system.   Second Workshop on Nonlinear Optimization: Theoretical Aspects of Surrogate Optimization, University of Coimbra, Coimbra, Portugal, May 16-17, 2002.

Abramson, Mark A.   ROK-US air power vs. North Korean long-range artillery.  66th Military Operations Research Society Symposium (MORSS) 1998, Naval Postgraduate School, Monterrey CA, June 23-25, 1998, SECRET RELROK.

Other Presentations:

Abramson, Mark A.   Special Topics in Optimization.   Invited lecturer, Data Sciences Summer School, Los Alamos National Laboratory, Los Alamos, New Mexico, July 17-19, 2007.

Magallanez, Raymond, Mark A. Abramson, Thomas J. Asaki, J. E. Dennis, Jr., and Matt Sottile.   Surrogate strategies for computationally expensive optimization problems with CPU time-correlated functions.   Los Alamos National Laboratory, Los Alamos, New Mexico, April 5, 2007.

Abramson, Mark A.   Mesh adaptive direct search algorithms for black box constrained optimization.   Brigham Young University, February 22, 2007.

Abramson, Mark A., Thomas J. Asaki, Charles Audet, J.E. Dennis, Jr., Kevin R. O'Reilly, and Rachael L. Pingel.   Solving nasty black box constrained optimization problems: direct search algorithms and applications.   Exxon-Mobil Upstream Research Company, Houston, Texas, February 9, 2007.

Abramson, Mark A., Thomas J. Asaki, J. E. Dennis, Jr., Kevin R. O'Reilly, and Rachael L. Pingel.   Mesh adaptive direct search algorithms for solving nasty black box constrained optimization problems.   Air Force Research Laboratory, Propulsion Directorate, Wright-Patterson AFB, Ohio, November 21, 2006.

Abramson, Mark A., Kevin R. O'Reilly, and Thomas Asaki.   A Mixed Variable Optimization Approach to the Quantitative Reconstruction of Objects in X-Ray Tomography.  Boeing Corporation, Seattle, Washington, June 29, 2006.

O'Reilly, Kevin R., Mark A. Abramson, and Thomas Asaki.   Quantitative object reconstruction using Abel Transform tomography and mixed variable optimization.  Los Alamos National Laboratory, Los Alamos, New Mexico, March 9, 2006.

Abramson, Mark A.   Mixed variable optimization of a load-bearing thermal insulation system.  Los Alamos National Laboratory, Los Alamos, New Mexico, June 30, 2005.

Abramson, Mark A.   Direct search methods for engineering optimization.   Miami University, Oxford, Ohio, March 24, 2005.

Abramson, Mark A.   Pattern search algorithms for engineering optimization.  University of Dayton, Dayton, Ohio, October 9, 2003.

Abramson, Mark A. and J. E. Dennis, Jr.   Industrial Strength Optimization.   Short Course, Air Force Institute of Technology, Wright-Patterson AFB, OH, August 7, 2003.

Abramson, Mark A.   Generalized pattern search algorithms for engineering optimization.  University of Michigan, Ann Arbor, Michigan, March 29, 2003.

Abramson, Mark A., Charles Audet, and J. E. Dennis, Jr.   Pattern search for mixed variable optimization problems.   Institute for Mathematics and its Applications (IMA) Short Course: Industrial Strength Optimization, IMA, University of Minnesota, Minneapolis, MN, January 6-7, 2003.

Theses:

Mark Aaron Abramson, Pattern Search Filter Algorithms for Mixed Variable General Constrained Optimization Problems,   Ph.D. Thesis, Department of Computational and Applied Mathematics, Rice University, August 2002.

Mark Aaron Abramson, Application of Sequential Quadratic Programming to Large-scale Structural Design Problems,   Master's Thesis, AFIT/GOR/ENS/94M-01, Graduate School of Engineering, Air Force Institute of Technology, 1994.

Technical Reports:

Analysis of ACC sortie generation in a chemical environment (with K. Michael and J. Davis),   Headquarters, Republic of Korea-United States Combined Forces Command, Yongsan AIN, Republic of Korea: December 1998, SECRET RELROK.

Analysis of Combat Air Force (CAF) standards for USAFE (with H. Berry, P. Miyares, K. Hession, D. Blazer, and W. Faulkner),   Air Force Logistics Management Agency (AFLMA), LS9606700, September 1996.

Analysis of CSI and working level methodologies (with S. Long, S. Reynolds, W. Faulkner, D. Blazer, G. Bencun, G. Jarnigan, and H. Berry),   AFLMA, LS9516400, July 1996.

Analysis of effects of international merchants' purchase authorization card (IMPAC) usage (with J. Perry and G. Jarnigan),   AFLMA, LC9622202, March 1997.

Analysis of optimal precision measurement equipment laboratories (with G. Barney, N. Murray, J. Perry, T. Gage, I. Sookma, B. Allen, and H. Newhouse),   AFLMA, LM9504510, June 1996.

Demand forecasting via neural networks (with H. Berry, S. Reynolds, and S. Long, R. Nelson, and D. Grover),   AFLMA, LS9521300, May 1996.

F-16 training wing issue effectiveness (with P. Miyares, T. Lewis, W. Faulkner, T. Ondracek, S. Long, and D. Blazer),   AFLMA, LS9534600, Septemeber 1996.

Forward-looking readiness based leveling (with H. Berry, D. Blazer, and S. Long),   AFLMA, LS9622000, March 1997.

Individual mobilization augmentees -- expanding role (with S. Smith, M. Gray, N. Perry, M. McDaniel, T. Snyder, C. Tucker, and W. Burrell),   AFLMA, LM9529400, September 1995.

Mishap trend analysis regarding maintenance discipline and compliance (with W. Walker, R. Yerkes, J. Drew, W. Atherton, and H. Campbell),   AFLMA, LM9703003, March 1997.

Readiness based leveling for communications/low density items (with H. Berry, D. Blazer, and S. Long),   AFLMA, LS9619200, October 1996.

Readiness based leveling (RBL) implementation issues (with S. Long, W. Faulkner, and D. Blazer),   AFLMA, LS96004000, October 1996.

Routine and express small parcel shipment analysis (with M. McDaniel, G. Albritton, J. Toler, E. Williams, and T. Snyder),   AFLMA, LT9408010, June 1995.

Second destination transportation (SDT) centrally managed allotment (CMA) Funding of Air Force Cargo (with I. Sookma, D. Tazoi, D. Benson, K. Hession,   T. Gage, J. Jennings, D. Jones, W. Lyons, and R. Reed), AFLMA, LT9411800, July 1996.

Setting recoverable item stock levels (with S. Reynolds, S. Long, D. Blazer, K. Kruse, and W. Faulkner),   AFLMA, LS9500500, May 1996.