We consider a packing problem that arises in a direct-shipping system in the food and beverage industry: Trucks are the containers, and products to be distributed are the items. The packing is constrained by two independent quantities, weight (e.g., measured in kg) and volume (number of...

Column generation (CG) models have several advantages over compact formulations, namely, they provide better LP bounds, may eliminate symmetry, and can hide non-linearities in their subproblems. However, users also encounter drawbacks in the form of slow convergency a.k.a. the tailing-off effect...

We present two new methods to stabilize column-generation algorithms for the Temporal Knapsack Problem (TKP). Caprara et al. [Caprara A, Furini F, and Malaguti E (2013) Uncommon Dantzig-Wolfe Reformulation for the Temporal Knapsack Problem. INFORMS J. on Comp. 25(3):560–571] were the first to...

Abstract For many variants of vehicle routing and scheduling problems solved by a branch-price-and-cut (BPC) algorithm, the pricing subproblem is an elementary shortest-path problem with resource constraints (SPPRC) typically solved by a dynamic-programming labeling algorithm. Solving the SPPRC...