Mixed Integer Programming (theory and computation)
Polyhedral Combinatorics
Operations Research
Specific Problems/Applications
Railroad Logistics problems
Capacitated Vehicle Routing/Minimum Spanning Tree
Publications:
Refereed Journals
S. Dash, R. Fukasawa and O. Gunluk. On a generalization of the master cyclic group polyhedron. To appear in Mathematical Programming. DOI: 10.1007/s10107-008-0252-7
R. Fukasawa and M. Goycoolea. On the exact separation of mixed-integer knapsack cuts. Submitted.
W. Cook, S. Dash, R. Fukasawa and M. Goycoolea. Numerically accurate Gomory mixed-integer cuts. Submitted
Conference Proceedings
R. Fukasawa, M. Goycoolea. On the exact separation of mixed-integer knapsack cuts. Proceedings of the twelfth Integer Programming and Combinatorial Optimization conference IPCO'07, Ithaca, NY. Lecture Notes in Computer Science, Vol.4513 pp.225--239, 2007.
S. Dash, R. Fukasawa, O. Gunluk. On a Generalization of the master cyclic group polyhedron. Proceedings of the twelfth Integer Programming and Combinatorial Optimization conference IPCO'07, Ithaca, NY. Lecture Notes in Computer Science, Vol.4513 pp.197--209, 2007.
R. Fukasawa, J. Lysgaard, M. Poggi de Aragão, M. Reis, E. Uchoa and R.F. Werneck. Robust branch-and-cut-and-price for the capacitated vehicle routing problem. Proceedings of the tenth Integer Programming and Combinatorial Optimization conference IPCO'04, New York, Lecture Notes in Computer Science, Vol.3064 pp.1-15, 2004.
R. Fukasawa, M. Poggi de Aragão, O. Porto and E. Uchoa. Solving the freight car flow problem to optimality.Proceedings of the ATMOS 2002, Málaga, Spain. Electronic Notes in Theoretical Computer Science, Vol.66 (6), pp. 1-14, Elsevier, 2002.
R. Fukasawa. Solution of railroad logistics problems using Integer Programming.Masters Dissertation (in Portuguese). Electrical Engineering Department, PUC-Rio, 2002.
"Single-row mixed-integer programs: Theory and computations."
Thesis defense - GeorgiaTech (June, 2008)
Lehigh University - Dept. of Ind. and Syst. Eng. (February, 2008)
University of Waterloo - Dept. of Combinatorics and Optimization (February, 2008)
Argonne National Labs (January, 2008)
ISYE DOS Seminar at GeorgiaTech (January, 2008)
"On a generalization of the master cyclic group polyhedron."
INFORMS Annual meeting 2007 (November, 2007)
IPCO 2007 (June, 2007)
IP Seminar, GeorgiaTech (Oct, 2006) - (presented with title ``Polyhedral study of
the generalized master knapsack problem.'')
IBM student seminar (June, 2006)
"On the capacitated vehicle routing problem."
Invited presentation at Universidad de Chile (April, 2007)
"Robust Branch-and-cut-and-price and Extended Capacity Cuts."
Invited presentation at IBM Research (Dec, 2006)
"MIR inequalities, mixed integer knapsack problems and the closure of single row
systems"
INFORMS Annual meeting 2006 (Nov, 2006)
International Symposium on Mathematical Programming, ISMP (Aug, 2006)
IBM IP/AP for Lunch (July, 2006)
"Choosing the best cuts (Poster)"
MIP 2006 (June, 2006)
"Robust branch-and-cut-and-price for the capacitated minimum spanning tree
problem."
International Symposium on Mathematical Programming, ISMP (August,
2003)
"Solving the freight car flow problem to optimality."}
Algorithmic Methods and Models for Optimization of Railways, ATMOS (July, 2002)