 The two-dimensional vector packing problem with general costsQian Hu, Lijun Wei and Andrew Lim Omega, 2018, vol. 74, issue C, 59-69 Abstract: The two-dimensional vector packing problem with general costs (2DVPP-GC) arises in logistics where shipping items of different weight and volume are packed into cartons before being transported by a courier company. In practice, the delivery cost of a carton of items is usually retrieved from a cost table. The costs may not preserve any known mathematical function since it could specify arbitrary price at any possible weight. Such a general pricing scheme meets a majority of real-world bin packing applications, where the price of delivery service is determined by many complicated and correlated factors. Compared to the classical bin packing problem and its variants, the 2DVPP-GC is more complex and challenging. To solve the 2DVPP-GC with minimizing the total cost, we propose a memetic algorithm to compute solutions of high quality. Fitness functions and improved operators are proposed to achieve effectiveness. Computational experiments on a variety of test instances show that the algorithm is competent to solve the 2DVPP-GC. In particular, optimal solutions are found in a second for all the test instances that have a known optimal solution. Keywords: Application; Bin packing; Two-dimensional vector packing; General costs; Memetic algorithm (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:74:y:2018:i:c:p:59-69 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2017.01.006 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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