Optimal Solutions for C1 and C2 problems
Problem |
NV |
Distance |
Authors |
Problem |
NV |
Distance |
Authors |
C101.25 |
3 |
191.3 |
KDMSS |
C201.25 |
2 |
214.7 |
CR+L |
C101.50 |
5 |
362.4 |
KDMSS |
C201.50 |
3 |
360.2 |
CR+L |
C101.100 |
10 |
827.3 |
KDMSS |
C201.100 |
3 |
589.1 |
CR+KLM |
C102.25 |
3 |
190.3 |
KDMSS |
C202.25 |
2 |
214.7 |
CR+L |
C102.50 |
5 |
361.4 |
KDMSS |
C202.50 |
3 |
360.2 |
CR+KLM |
C102.100 |
10 |
827.3 |
KDMSS |
C202.100 |
3 |
589.1 |
CR+KLM |
C103.25 |
3 |
190.3 |
KDMSS |
C203.25 |
2 |
214.7 |
CR+L |
C103.50 |
5 |
361.4 |
KDMSS |
C203.50 |
3 |
359.8 |
CR+KLM |
C103.100 |
10 |
826.3 |
KDMSS |
C203.100 |
3 |
588.7 |
KLM |
C104.25 |
3 |
186.9 |
KDMSS |
C204.25 |
2 |
213.1 |
CR+KLM |
C104.50 |
5 |
358.0 |
KDMSS |
C204.50 |
2 |
350.1 |
KLM |
C104.100 |
10 |
822.9 |
KDMSS |
C204.100 |
3 |
588.1 |
IV |
C105.25 |
3 |
191.3 |
KDMSS |
C205.25 |
2 |
214.7 |
CR+L |
C105.50 |
5 |
362.4 |
KDMSS |
C205.50 |
3 |
359.8 |
CR+KLM |
C105.100 |
10 |
827.3 |
KDMSS |
C205.100 |
3 |
586.4 |
CR+KLM |
C106.25 |
3 |
191.3 |
KDMSS |
C206.25 |
2 |
214.7 |
CR+L |
C106.50 |
5 |
362.4 |
KDMSS |
C206.50 |
3 |
359.8 |
CR+KLM |
C106.100 |
10 |
827.3 |
KDMSS |
C206.100 |
3 |
586.0 |
CR+KLM |
C107.25 |
3 |
191.3 |
KDMSS |
C207.25 |
2 |
214.5 |
CR+L |
C107.50 |
5 |
362.4 |
KDMSS |
C207.50 |
3 |
359.6 |
CR+KLM |
C107.100 |
10 |
827.3 |
KDMSS |
C207.100 |
3 |
585.8 |
CR+KLM |
C108.25 |
3 |
191.3 |
KDMSS |
C208.25 |
2 |
214.5 |
CR+L |
C108.50 |
5 |
362.4 |
KDMSS |
C208.50 |
2 |
350.5 |
CR+KLM |
C108.100 |
10 |
827.3 |
KDMSS |
C208.100 |
3 |
585.8 |
KLM |
C109.25 |
3 |
191.3 |
KDMSS |
|
|
|
|
C109.50 |
5 |
362.4 |
KDMSS |
|
|
|
|
C109.100 |
10 |
827.3 |
KDMSS |
|
|
|
|
Legend:
C - A. Chabrier, “Vehicle Routing Problem with Elementary Shortest Path based Column Generation.” Forthcoming in: Computers and Operations Research (2005).
CR - W. Cook and J. L. Rich, "A parallel cutting plane
algorithm for the vehicle routing problem with time windows," Working
Paper, Computational and Applied Mathematics, Rice University, Houston, TX,
1999.
DLP - E. Danna and C. Le Pape,
“Accelerating branch-and-price with local search: A case study on the
vehicle routing problem with time windows,” In: Column Generation,
G. Desaulniers, J. Desrosiers,
and M. M. Solomon (eds.), 99-130, Kluwer Academic
Publishers (2005).
IV
- S.
Irnich and D. Villeneuve,
“The shortest path problem with k-cycle elimination (k ≥ 3):
Improving a branch-and-price algorithm for the VRPTW.” Forthcoming
in: INFORMS Journal of Computing (2005).
KDMSS - N. Kohl, J. Desrosiers, O. B. G. Madsen, M. M. Solomon, and F. Soumis, "2-Path Cuts for the Vehicle Routing Problem with Time Windows," Transportation Science, Vol. 33 (1), 101-116 (1999).
KLM - B. Kallehauge, J. Larsen, and
O.B.G. Madsen. "Lagrangean duality and non-differentiable optimization
applied on routing with time windows - experimental results."
Internal report IMM-REP-2000-8, Department of Mathematical Modelling,
Technical University of Denmark,
L - J. Larsen. "Parallelization of the vehicle routing problem with time
windows." Ph.D. Thesis IMM-PHD-1999-62,
Department of Mathematical Modelling,