Research Interests

• Linear programming infeasibility analysis via irreducible infeasible subystems
• "Branch and Build" approaches to Integer Programming (branch and bound combined with column or constraint generation)
• Heuristics for Combinatorial Optimization
• Incorporating modeling and technology into the teaching of mathematics and operations research

• COMAP Mathematical Contest in Modeling
• Project NExT

• "Judge's Commentary: The Outstanding Hurricane Evacuation Papers," in The UMAP Journal, Vol 22, No. 3, pp. 337-343, 2001.
• “The Mathematical Contest in Modeling: Success at a Small Regional University,” with H. Zullo and N. Preyer, in PRIMUS, Vol IX, Number 4, pp. 289-300, 1999.
•  “Cadets as Consultants - Operations Research at USAFA,” with J. Lowe, in Mathematica Militaris, Vol 8, Issue 1, pp. 7-8, 1998.
• “Finding the Minimum Weight IIS Cover of an Infeasible System of Linear Inequalities,” with J. Ryan, in Annals of Mathematics and Artificial Intelligence 17, pp. 107-126, 1996.
• “Coloring with Tabu Branch and Bound,” with F. Glover and  J. Ryan, in Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge, David S. Johnson and Michael A. Trick (eds.), DIMACS Series in Discrete Mathematics and Theoretical Computer Science,  Volume 26, pp. 285-307, 1996.
• “A Set Covering Approach to Infeasibility Analysis of Linear Programming Problems and Related Issues,” Poscript Ph.D. Dissertation, Mathematics Department, University of Colorado at Denver, 1995.
• "A Column Generation Algorithm for Bandwidth Packing,” with J. Ryan, in Telecommunication Systems 2, pp. 185-195, 1994.
• “Path Assignment for Call Routing: An Application of Tabu Search,” with C. Anderson, K. Fraughnaugh, and J. Ryan, in Annals of Operations Research 41, pp. 301-312, 1993.
• “Integrated Heuristic Search Procedures for Network Optimization,” with J. Ryan and K. Fraughnaugh, Colorado Advanced Software Institute Report CASI-TR-93-02, 1993.
• 1992 “Tabu Search and Genetic Algorithms for Network Optimization,” with J. Ryan and K. Fraughnaugh, Colorado Advanced Software Institute Report CASI-TR-92-04, 1992.

• COMAP (Consortium for Mathmematics and Its Applications)
• INFORMS (Institute for Operations Research and Management Science)
• MAA (Mathematical Association of America)
• Omega Rho (Operations Research Honor Society)
• Pi Mu Epsilon (Mathematics Honor Society)
• SIAM (Society for Industrial and Applied Mathematics)

Send email to: mparker@carroll.edu