We address the single container packing problem of a company that has to serve its
customers by first placing the products in boxes and then loading the boxes into a
container. We approach the problem by developing and solving mixed-integer linear
models. Our models consider geometric constraints which feature non-overlappping
constraints, box orientation constraints, dimensionality constraints, relative packing
position constraints and linearity constraints. We also consider extension of the models by integrating load balance as well as deviation of the center of gravity. The
models have been tested on a large set of real instances involving up to 41 boxes and
obtaining optimal solutions in most cases and very small gaps when optimality could
not be proven.
Eastern Network, L (2021). Mathematical Models for a 3D Container Packing Problem. Afribary.com: Retrieved April 11, 2021, from https://afribary.com/works/mathematical-models-for-a-3d-container-packing-problem
Library, Eastern Network. "Mathematical Models for a 3D Container Packing Problem" Afribary.com. Afribary.com, 04 Apr. 2021, https://afribary.com/works/mathematical-models-for-a-3d-container-packing-problem . Accessed 11 Apr. 2021.
Library, Eastern Network. "Mathematical Models for a 3D Container Packing Problem". Afribary.com, Afribary.com, 04 Apr. 2021. Web. 11 Apr. 2021. < https://afribary.com/works/mathematical-models-for-a-3d-container-packing-problem >.
Library, Eastern Network. "Mathematical Models for a 3D Container Packing Problem" Afribary.com (2021). Accessed April 11, 2021. https://afribary.com/works/mathematical-models-for-a-3d-container-packing-problem