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https://doi.org/10.1016/j.omega.2017.01.006
Title: | The two-dimensional vector packing problem with general costs | Authors: | Qian Hu Lijun Wei Lim Leong Chye, Andrew |
Keywords: | Application Bin packing Two-dimensional vector packing General costs Memetic algorithm |
Issue Date: | 1-Jan-2018 | Publisher: | Elsevier | Citation: | Qian Hu, Lijun Wei, Lim Leong Chye, Andrew (2018-01-01). The two-dimensional vector packing problem with general costs. Omega 74 : 59-69. ScholarBank@NUS Repository. https://doi.org/10.1016/j.omega.2017.01.006 | 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. | Source Title: | Omega | URI: | https://scholarbank.nus.edu.sg/handle/10635/167673 | ISSN: | 0305-0483 | DOI: | 10.1016/j.omega.2017.01.006 |
Appears in Collections: | Staff Publications Elements |
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