For solving the obtained set partitioning type problem, a constraint generation algorithm based on mixed integer programming model is proposed.doi:10.3182/20120523-3-RO-2023.00354Borisovsky, Pavel A.Delorme, Xa
For larger instances (30, 40 vessels), the model cannot generate integer upper bounds. In the same paper, these upper bounds are generated using different heuristic approaches. This paper presents three major contributions: (1) Novel generalized set partitioning formulations that can solve more ...
Two improved genetic algorithm (GA) components are introduced and applied to the generational model GA system that can effectively find feasible solutions for difficult and large scale set partitioning problems. The two components are the grouping crossover operator and a modified local optimizer. The...
We propose a column generation approach for solving airline crew scheduling problems that is based on a set partitioning model. We discuss algorithmic aspects such as the use of bundle techniques for the fast, approximate solution of ... R Borndörfer,U Schelten,T Schlechte,... 被引量: 27...
In this case study a wedding planner must determine guest seating allocations for a wedding. To model this problem the tables are modelled as the partitions and the guests invited to the wedding are modelled as the elements of S. The wedding planner wishes to maximise the total happiness of ...
In effect, each decision that is taken involves a model for the clusters that may bias the results of an anal- ysis towards the assumptions of the model. For this reason, investigators often carry out several different analyses of the same set of objects, each implicitly incorporating a ...
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The likelihood of the complete model M can be calculated by adding up the log-likelihoods of the occurrence of each data 在这final步,分成为数据集的开始使用EM算法被优选。 因此我们描述适当的期望和最大化步然后使用一个重申方法。 完全模型M的可能在每可以通过增加每个数据对象发生的日志可能群计算。
求翻译:In this final step, the start partitioning for the data set is optimized using the EM algorithm. We therefore describe a suitable expectation and maximization step and then employ an iterative method. The likelihood of the complete model M can be calculated by adding up the log-likeli...
The set partitioning model for the VRPTW The VRPTW described in the previous section can be formulated as a set partitioning problem (SPP) as follows:min∑r∈Rcrxrs.t.∑r∈Rδirxr=1∀i∈Cxr∈{0.1}where R is the set of routes, C the set of customers, cr the travel distance on the...