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On the benefits of inoculation, an example in train scheduling

机译:关于接种的好处,以火车时间表为例

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The local reconstruction of a railway schedule following a small perturbation of the traffic, seeking minimization of the total accumulated delay, is a very difficult and tightly constrained combinatorial problem. Notoriously enough, the railway company's public image degrades proportionally to the amount of daily delays, and the same goes for its profit!.This paper describes an inoculation procedure which greatly enhances an evolutionary algorithm for train re-scheduling. The procedure consists in building the initial population around a pre-computed solution based on problem-related information available beforehand.The optimization is performed by adapting times of departure and arrival, as well as allocation of tracks, for each train at each station. This is achieved by a permutation-based evolutionary algorithm that relies on a semi-greedy heuristic scheduler to gradually reconstruct the schedule by inserting trains one after another.Experimental results are presented on various instances of alarge real-world case involving around 500 trains and more than 1 million constraints. In terms of competition with commercial mathematical programming tool ILOG CPLEX, it appears that within a large class of instances, excluding trivial instances as well as too difficult ones, and with very few exceptions, a clever initialization turns an encouraging failure into a clear-cut success auguring of substantial financial savings.
机译:寻求对交通流量的微小扰动,寻求使总累积延误最小化的铁路时间表的本地重建是一个非常困难且受到严格限制的组合问题。众所周知,铁路公司的公共形象与每日延误的数量成比例地下降,这对它的利润也有好处!。本文描述了一种接种程序,该程序大大增强了火车重新调度的进化算法。该过程包括基于事先可用的与问题相关的信息围绕预先计算的解决方案构建初始种群,并通过为每个车站的每列火车调整出发和到达的时间以及铁轨的分配来进行优化。这是通过基于置换的进化算法实现的,该算法依赖于半贪婪启发式调度程序,通过依次插入火车逐渐重建时间表。在涉及约500列火车以及更多火车的大型实际案例的各种实例上均给出了实验结果超过一百万个约束。就与商业数学编程工具ILOG CPLEX的竞争而言,似乎在大量实例中,不包括琐碎的实例和过于困难的实例,除了极少数例外,聪明的初始化将令人鼓舞的失败变成了清晰的实例。成功预示着大量的财务节省。

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