Heuristic for Railway Crew Scheduling With Connectivity of Schedules

Akshat Bansal, Kezhe Perumpadappu Anoop, N. Rangaraj
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Abstract

This paper addresses the crew scheduling for long-distance passenger train services. A heuristic with bin packing features is developed to generate repeatable crew schedules that satisfy the operational and crew allocation rules. By ensuring the connectivity of crew duties that can be repeated over periodic train schedules, a better estimate of the crew requirement in a region is also obtained. Further, the heuristic ensures a fair division of the total workload and creates long duty cycles, which also makes the process of cyclic rostering easier. The paper also presents an exact approach for crew scheduling using a combination of constraint programming and set covering formulations. The exact approach is not computationally viable for practical scale problem instances, but the heuristic generates good quality solutions (often very close to optimal) even on large data sets. We illustrate the approach on data from the Mumbai Division in Indian Railways and the computational results show that there is potential to reduce the total number of crew duties in the region by around 12%. The heuristic approach provides an efficient way to generate improved crew schedules every time there is a change in the train timetable.
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具有计划连通性的铁路乘务员调度启发式
本文探讨了长途客运列车的乘务人员调度问题。本文开发了一种启发式方法,该方法具有垃圾箱打包功能,可生成满足运营和乘务员分配规则的可重复乘务员计划。通过确保可在定期列车时刻表上重复的乘务员职责的连通性,还能更好地估算区域内的乘务员需求。此外,启发式方法确保了总工作量的公平分配,并创建了较长的值班周期,这也使得循环轮值过程变得更容易。本文还结合约束编程和集合覆盖公式,提出了一种精确的船员调度方法。对于实际规模的问题实例,精确方法在计算上并不可行,但启发式方法即使在大型数据集上也能生成高质量的解决方案(通常非常接近最优方案)。我们在印度铁路孟买分部的数据上对该方法进行了说明,计算结果显示,该地区的乘务员总人数有可能减少约 12%。每次列车时刻表发生变化时,启发式方法都能有效地生成改进的乘务员时刻表。
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