# BPP

Bin Packing problem (BPP)
 minimize $B = \sum_{i=1}^n y_i$ subject to $\sum_{j=1}^n a_j x_{ij} \leq V y_i,$ $\forall i \in \{1,\ldots,n\}$ $\sum_{i=1}^n x_{ij} = 1,$ $\forall j \in \{1,\ldots,n\}$ $y_i \in \{0,1\},$ $\forall i \in \{1,\ldots,n\}$ $x_{ij} \in \{0,1\},$ $\forall i \in \{1,\ldots,n\} \, \forall j \in \{1,\ldots,n\}$

(our software can involve several limits, e.g. volume < V, mass < M)

(since v 0.51) OpenOpt BPP examples:

Providing bins parameter "n" as a number of available bins or (better) a good estimation of optimal value (no less than the value) can essentially speedup computations

Available solvers:

Future Plans include

• Bins of different types (limited by numbers)