Supplementary material for "GRASP with path-relinking for the quadratic assignment problem," AT&T Labs Technical Report, 2004.

Carlos A. S. Oliveira, Panos M. Pardalos, and Mauricio G. C. Resende
We show here time to target-solution value plots comparing GRASP with path-relinking with pure GRASP (without path-relinking) on QAPLIB - A Quadratic Assignment Problem Library (R.E. Burkard, S.E. Karisch and F. Rendl, 1997) instances.Time to target-solution plots  are described in detail in  Aiex,  Resende, and  Ribeiro  (2002) .

For a given solver, instance, and solution target value, the plot is generated by running the solver N times on instance, and measuring the time taken to find a solution with objective function value at least as good as the target value.  Let t(i)be the time taken in the i-th run of the solver.  Let these times be sorted such that t(1) <  t(2) <  ... < t(N) .  The plots consist of the pairs {t(i), (i- .5) / N}, i=1,...,N, and represent the cumulative probability distribution of the random variable time to target solution value.  Time are given in seconds on a  SGI Challenge computer (196 MHz MIPS R10000 processor).

Plots are displayed as PDF files.  [ Download a free PDF Reader from Adobe ]

[ Download the C-language source code for the GRASP and GRASP with path-relinking. ]

bur26a bur26b
bur26c bur26d
bur26e bur26f
bur26g bur26h
chr12a chr12b chr12c
chr15a chr15b chr15c
chr18a chr18b chr20a
chr20b chr20c chr22a
chr22b chr25a

els19 esc16a esc16b esc16c
esc16d esc16e esc16f esc16g
esc16h esc16i esc16j esc32a
esc32b esc32c esc32d esc32e
esc32f esc32g esc32h esc64a
R.E. Burkard and J. Offermann (1977) N. Christofides and E. Benavent (1989) A.N. Elshafei (1977) and
B. Eschermann and H.J. Wunderlich (1990)
had12
had14
had16
had18
had20
kra30a kra30b

lipa20a
lipa20b
lipa30a lipa30b
lipa40a
lipa40b
S.W. Hadley, F. Rendl and H. Wolkowicz (1992)
J. Krarup and P.M. Pruzan (1978)
Y. Li and P.M. Pardalos (1992)
nug12 nug14 nug15 nug16a
nug16b nug17 nug18 nug20
nug21 nug22 nug24 nug25
nug27 nug28 nug30

rou12
rou15
rou20

scr12
scr15
scr20
C.E. Nugent, T.E. Vollmann and J. Ruml (1968)
C. Roucairol (1987)
M. Scriabin and R.C. Vergin (1975)
ste36a
ste36b
ste36c


tai12a
tai12b
tai15a
tai15b
tai17a tai20a
tai20b
tai25a
tai25b




 
tho30
tho40

L. Steinberg (1961)
E.D. Taillard (1991, 1994)
U.W. Thonemann and A. Bölte (1994)