MILP formulation of the 3PP used in the 3L-CVRP (three dimensional)



Authors:

Christophe

Philippe

Ch. Duhamel

P. Lacomme

H. Toussaint



Last Update: 21/04/2011.


This web page provide a full description of the results introduced in:

Duhamel C., P. Lacomme,  H. Toussaint, "First Linear Formulation of the 3D packing problem in the 3LCVRP perspective", submitted to ETFA.

Table of results

instance

n

nc

3d only - Solved by the Pisinger et al.'s method [15]

3d only – Cplex 9.0 resolution

3d with all constraints
Cplex 9.0 resolution

 

 

 

Feasible

cpu (s)

Feasible

cpu (s)

Feasible

cpu (s)

n5.1.txt

5

2

yes 

<1

yes

<1

yes

2.3

n5.2.txt

5

1

yes

<1

yes

<1

no

23.1

n5.3.txt

5

3

yes

<1

yes

<1

yes

<1

n7.1.txt

7

2

yes

<1

yes

<1

no

<1

n7.2.txt

7

1

yes

<1

yes

<1

yes

1.1

n7.3.txt

7

5

yes

<1

yes

<1

yes

1.9



Pisinger program :   download

Instances :
download

Results (3D only) :
download

Results (with all constraints) :
download