具有硬时间窗口约束下同时收发的车辆路径问题(vehicle routing problem with simultaneous pick-up and delivery with hard time windows,VRPSPD with Hard TW)是将产品配送和废物回收统一进行优化的问题。本文研究了一个中心仓库,多...具有硬时间窗口约束下同时收发的车辆路径问题(vehicle routing problem with simultaneous pick-up and delivery with hard time windows,VRPSPD with Hard TW)是将产品配送和废物回收统一进行优化的问题。本文研究了一个中心仓库,多台车辆向具有配送需求和回收需求的客户提供服务,客户存在硬时间窗口要求的车辆运输问题。该问题中,客户的配送需求和回收需求必须同时获得满足,即客户仅允许被访问一次,且需求不可分割,只能由一台车辆提供服务。且客户的硬时间窗口要求必须获得满足。首先将修正后的旅程分割方法应用于硬时间窗口约束下的VRPSPD问题初始解的获得,并利用响应性禁忌搜索算法框架,结合基于多种领域的可变式搜索方法,给出一启发式算法。计算机实验结果表明,该启发式算法在求解VRPSPD with hard TW上是有效的。展开更多
This paper introduces the problem of green bike relocation considering greenhouse gas emissions in free-floating bike-sharing systems(FFBSSs)and establishes a mathematical model of the problem.This model minimizes the...This paper introduces the problem of green bike relocation considering greenhouse gas emissions in free-floating bike-sharing systems(FFBSSs)and establishes a mathematical model of the problem.This model minimizes the total imbalance degree of bikes in the FFBSS and the greenhouse gas emissions generated by relocation in the FFBSS.Before the relocation phase,the FFBSS is divided into multiple relocation areas using a two-layer clustering method to reduce the scale of the relocation problem.In the relocation phase,the relocation route problem is converted into a pickup and delivery vehicle-routing problem.Then,an adaptive variable neighbourhood tabu search algorithm with a three-dimensional tabu list is proposed,which can simultaneously solve the relocation problem and the routing problem.A computational study based on the actual FFBSS used in Shanghai shows that this method can effectively solve the green relocation problem of FFBSSs.展开更多
文摘具有硬时间窗口约束下同时收发的车辆路径问题(vehicle routing problem with simultaneous pick-up and delivery with hard time windows,VRPSPD with Hard TW)是将产品配送和废物回收统一进行优化的问题。本文研究了一个中心仓库,多台车辆向具有配送需求和回收需求的客户提供服务,客户存在硬时间窗口要求的车辆运输问题。该问题中,客户的配送需求和回收需求必须同时获得满足,即客户仅允许被访问一次,且需求不可分割,只能由一台车辆提供服务。且客户的硬时间窗口要求必须获得满足。首先将修正后的旅程分割方法应用于硬时间窗口约束下的VRPSPD问题初始解的获得,并利用响应性禁忌搜索算法框架,结合基于多种领域的可变式搜索方法,给出一启发式算法。计算机实验结果表明,该启发式算法在求解VRPSPD with hard TW上是有效的。
文摘This paper introduces the problem of green bike relocation considering greenhouse gas emissions in free-floating bike-sharing systems(FFBSSs)and establishes a mathematical model of the problem.This model minimizes the total imbalance degree of bikes in the FFBSS and the greenhouse gas emissions generated by relocation in the FFBSS.Before the relocation phase,the FFBSS is divided into multiple relocation areas using a two-layer clustering method to reduce the scale of the relocation problem.In the relocation phase,the relocation route problem is converted into a pickup and delivery vehicle-routing problem.Then,an adaptive variable neighbourhood tabu search algorithm with a three-dimensional tabu list is proposed,which can simultaneously solve the relocation problem and the routing problem.A computational study based on the actual FFBSS used in Shanghai shows that this method can effectively solve the green relocation problem of FFBSSs.