The paper examines a new problem in the irregular packing literature that has many applications in industry: two-dimensional irregular (convex) bin packing with guillotine constraints. Due to the cutting process of certain materials, cuts are restricted to extend from one edge of the stock-sheet...

This paper investigates the 2D guillotine knapsack packing problem, in which the objective is to select and cut a set of rectangles from a sheet with fixed size and maximize the total profit of the selected rectangles. The orientation of the rectangles is fixed. And the guillotine cut, in which...