List of FORTRAN programs
1. The Big Triangle Small Triangle approach to solving planar location problems Drezner Z. and A. Suzuki (2004) “The Big Triangle Small Triangle Method for the Solution of Non-Convex Facility Location Problems,” Operations Research, 52, 128-135. A Fortran Program which automatically solves problems whose objective is a sum of functions, each a function of the Euclidean distance to a demand point. The method is described in Drezner Z. (2007) “A General Global Optimization Approach for Solving Location Problems in the Plane,” Journal of Global Optimization, 37, 305-319.
2. Calculating Multivariate Normal Integral Probabilities. (Drezner Z. (1992) "Computation of the Multivariate Normal Integral," ACM Transactions on Mathematical Software, 18, 470-480.) Very efficient up to dimensionality of 10.
3. Solving Quadratic Assignment Problems Using a Hybrid Genetic-Concentric Tabu Algorithm.
12 small test problems Kra30ab, Nug30, Tho30, Esc32a-d,h, ste36a-c.
10 medium size test problems Tho 40, Sko42,49, Wil50, Sko56,64, Esc64a.
7 large test problems Skoo100a-f, Wil100.
Results for de Carvalho et al. Problems (14 Problems)
A "state of the art" FORTRAN code for the solution of the Quadratic Assignment Problem using a hybrid-genetic procedure with improvements.
New possibly difficult problems with known optimum. (based on the paper “Drezner Z., P.M. Hahn. and E.D. Taillard (2005)
“Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-heuristic Methods,”
Annals of Operations Research, 139, 65–94.”
dre15 optimum: 306
dre18 optimum: 332
dre21 optimum: 356
dre24 optimum: 396
Dre28 optimum: 476
dre30 optimum: 508
dre42 optimum: 764
dre56 optimum: 1086
dre72 optimum: 1452
dre90 optimum: 1838
dre110 optimum: 2264
dre132 optimum: 2744