Data Sets
Capacitated Task Allocation
Problem Set (coming soon)
Linear
Ordering Problems (program
to create Q matrix and linear program)
Set Partitioning Problems in various xQx and cplex .lp formats. Problems 2,3,5,6,8, and 9 have solutions in their cplex .log files.
Difficult Set
Partitioning Problems with high density (% variables per column)
Uncapacitated Task Allocation Problems
as seen in OR Letters "Modeling and Solving the Task Allocation
Problem as an Unconstrained Quadratic Binary Program"
Fixed Charge Capacitated Multi-commodity Network Design Problem Generator creates lp-formatted text files.
Link to lp-formatted Problems used in "Guided Design Search in the Interval Bounded Sailor Assignment Problem."
Vita
Vita (keywords: optimization, Guided Design Search, xQx)
Papers
Lewis, M., Alidaee, B., Glover, F., & Kochenberger, G. (in press). A Note on xQx as a Modeling and Solution Framework for the Linear Ordering problem. International Journal of Operational Research, 4 (6).
Wang, H., Kochenberger, G., Lewis, M., Lewis, K., & Alidaee, B. (in press). Modeling and Solving Set Packing Problems Via Unconstrained Quadratic Programming. European Journal of Operational Research.
Lewis, M., G. Kochenberger, and B. Alidaee, “A New Modeling and Solution
Approach for the Set Partitioning Problem” accepted March 2006
Computers and Operations Research.
Lewis, M.W., Karen R. Lewis, Barbara J.
White. "Guided Design Search in the Interval Bounded Sailor
Assignment Problem". Computers and Operations Research,
Vol. 33, No 6, Jun 2006, 1664-1680.
Mark W. Lewis, Bahram Alidaee, Gary Kochenberger, "Using xQx to model and solve the uncapacitated task allocation problem," Operations Research Letters, 33 (2005) 176-182.
Lewis, M.W., 2004. "Guided Design Search as a Decision Support Tool in Network Design", Academy of Information and Management Science, Vol. 8 (2005).
Mark W. Lewis, "The Effects of Network Characteristics on Joint Capacity Optimization in Robust Telecommunications Networks," International Journal Of Operations and Quantitative Management, Vol. 10, No 3, Sep 2004, 1-19.
,
"The Path Restoration Version of the Spare Capacity Allocation Problem
with Modularity Restrictions: Models, Algorithms, and an Empirical
Analysis," INFORMS Journal on Computing, Volume: 13, Number: 3. Pgs:
0181-0190, Summer 2001.
My Phd advisor, Professor Jeff
Kennington and I at the SMU PhD banquet, April 2000

From left to right, Robert Lewis, Jeffery Kennington, Karen Lewis, Mark
Lewis.
Programs for solving xQx
(the Unconstrained Quadratic Binary Program)
(Thanks to G. Palubeckis (
www.soften.ktu.lt/~gintares )
ms_tabu_2 (right-click and use the Save Target As ... option) (This is the supposed best performer of the multi-starts) Command line looks like ms_tabu_2 Q_matrix.txt out.txt print_boolean M_penalty fixed_cost
for example, ms_tabu_2 Qgap_333.txt out.txt 1 4000 3000
Palubeckis tabu search with no multi-start (input file is same as multi-start above except for first two lines which look like :
# of probs
# of variables # of iterations
# of variables # of nonzeros in the
following list
for example:
1 1000 10000
1000 985559
1 15 -59
...
Linear Ordering in Web Usage Mining References
go
back to Mark Lewis homepage
Last Update: 04/24/2008 08:20:33 PM