An arc flow model for the two stages variable size cutting stock problem

We consider a two dimensional guillotine cutting stock problem with variable size of stocks. We have a set of items that have to be cut out of stock sheets with different sizes and costs. We aim to minimize the total cost of used stocks. We propose an arc flow model to handle this problem based on the work of Marcedo et al.[14]. The model was implemented in CPLEX and tested on variety of instances.