A branch-and-price algorithm for the two-dimensional vector packing problem with piecewise linear cost function
Hu Qin and
European Journal of Operational Research, 2017, vol. 260, issue 1, 70-80
The two-dimensional vector packing problem with piecewise linear cost function (2DVPP-PLC) models a practical packing problem faced by many companies that use courier services. We propose a branch-and-price algorithm to solve the 2DVPP-PLC exactly. The column generation procedure is a key component that affects the performance of a branch-and-price algorithm. The pricing problem exhibits an interesting structure that allows us to decompose it into subproblems that form a lattice. We explore dominance relations on the lattice and design an efficient algorithm for the pricing problem. Experimental results show that our branch-and-price algorithm is capable of solving 2DVPP-PLC test instances effectively.
Keywords: Packing; 2D vector packing; Piecewise linear cost function; Branch-and-price; Column generation (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:260:y:2017:i:1:p:70-80
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