Optimization Algorithms
High Performance Computing
Operations Research
Statistical Inference
- On the complexity of the translational-cuts algorithm of
Burke, Goldstein, Tseng and Ye for convex minimax problems, (with
P.L. Jiang), J. Optimization Theory and Its Applications,
107 (2000), 223-243.
- Special Issue of Mathematical Programming, Series B, titled
Studies in Algorithmic Optimization: Festschrift in Honor of
William C. Davidon (with R.B. Mifflin and J.L. Nazareth) Editor,
87(2) (2000), 156 pp.
- A collection of multistage stochastic linear
programming test problems (Version 1) (with A.J. Felt), Technical Report 00-3, Department of Pure and Applied
Mathematics, Washington State University, Pullman, WA, 102 pp. (An
abridged version of this is Item 10 which appeared in
INFORMS Journal on Computing.)
- A characterization of convexity-preserving maps from a subset
of a vector space into another vector space (with W.C. Davidon
and K.D. McKennon), Journal of the London Mathematical
Society, 64 (2001), 179-190.
- On a characterization of convexity-preserving maps, Davidon's
collinear scalings and Karmarkar's projective transformations
(with W.C. Davidon and K.D. McKennon), Mathematical
Programming, Ser. A, 90 (2001), 153-168.
- Test set for stochastic linear programming (with A.J. Felt),
http://www.uwsp.edu/math/afelt/slptestset.html, April 2001.
(This is a software package.)
- SLPlib: Input routines and data structures for stochastic
linear programming (with A.J. Felt), http://www/uwsp.edu/math/afelt/slpinput.html, June 2001. (This is
a software package.)
- CPA: Cutting plane algorithms for two-stage stochastic
programming (with A. J. Felt and J. J. Sarich), http://www-neos.mcs.anl.gov/neos/solvers/SLP:CPA/, November 2002.
(This is a software package.)
- A note on line search termination criteria for collinear
scaling algorithms (with W. L. Tabor), Computing, 70
(2003), 25-39.
- On a new collection of stochastic linear programming
test problems (with A. J. Felt) INFORMS Journal on
Computing, 16(3) (2004), 291-299. (This is an abridged version
of Item 3.)
- A safeguarded linesearch algorithm based on conic interpolation
(with N. Begashaw), Proceedings of the Tenth
International Conference on Information
System Analysis and Synthesis, Vol. III, (2004), 263-268.
- A family of stochastic programming test problems based on a
model for tactical manpower planning (with C. Cacho and A. J. Felt),
Journal of Mathematical Modeling and Algorithms, 4(4)
(2005), 369-390.
- Stochastic semidefinite programming: a new paradigm for stochastic
optimization (with Y. Zhu), 4OR--Quarterly Journal of Belgian,
French and Italian Operations Research Societies, 4 (2006),
239-253.
- A class of collinear scaling algorithms for bound-constrained
optimization: convergence theorems (with W. L. Tabor),
Journal of Mathematical
Analysis and Applications, 334 (2007), 716-737.
- A class of volumetric center decomposition algorithms for
stochastic quadratic programming (with Y. Zhu), Applied Mathematics and
Computation, 186 (2007) 1683-1693.
- A model for granular statics with impenetrability constraints
(with L. Beryland and A. Panchenko), Networks and Heterogeneous
Media, (accepted).
2007-06-05