蚂蚁算法在带时间窗车辆路径问题中的应用及参数分析

带时间窗的车辆路径问题是一个典型的NP-Hard问题,本文将蚂蚁算法应用于带时间窗车辆路径问题,构造了该问题的表达方法,建立了相应的算法模型,对算法参数进行了分析并提出了相应的参数改进方案。仿真实验表明,改进后的算法可以快速、有效地求解带时间窗车辆路径问题,具有较好的可行性和适用性。     

有时间窗物流配送车路由问题的改进遗传算法

给出了有时间窗物流配送车路由问题的数学模型．通过引入新颖交叉算子RC，构造了一种改进的遗传算法．实验结果表明．该算法在解决有时间窗的物流配送车路由问题时，比PMX及RC算子具有更优的性能，在满足所有需求点的前提下达到各评价指标的综合最优，是求解配送车路由问题的一个较好方案．     

带时间窗车辆调度问题的改进粒子群算法

带时间窗车辆调度问题是一类典型的NP难解问题。为了克服标准粒子群算法存在早熟收敛和易陷入局部解等问题,提出了一种改进的粒子群优化算法。该算法在惯性权重递减的基础上通过群体极值进行[t]分布变异,使算法跳出局部收敛,将该算法应用于带时间窗的车辆调度问题优化。算例证明了改进粒子群算法应用于求解带时间窗的车辆调度问题的可行性和有效性。     

带时间窗的粮食物流车辆路径问题的研究

带时间窗的粮食物流车辆路径问题是一个典型的NP—难问题。针对粮食物流批量大、多点对多点等特点,建立了带时间窗的粮食物流车辆路径问题（Vehicle Routing Problem with Time Windows,VRPTM）的数学模型,进一步构造粒子群算法（Particle Swarm Optimization,PSO）用于问题求解,并将求解结果与遗传算法进行比较。结果表明,粒子群算法可以快速、有效地求得带时间窗的粮食物流车辆路径问题的优化解,降低配送成本。     

基于启发式带时间窗的车辆路径规划问题求解

车辆路径规划问题广泛地存在于现代物流行业中, 该问题属于NP难的组合优化问题. 随着客户需求的多样化、道路限行等因素的影响, 该问题变得更加的复杂, 采用传统的组合优化方法和运筹学方法往往难以求解. 本文对一类常见的带时间窗的车辆路径规划问题进行了研究, 根据时间窗参数来调整客户的优先级, 以减少车辆的等待时间, 由此改进了几个常见的启发式算法, 并对56个常见的车辆路径规划问题进行了测试, 实验结果表明, 改进的节约算法在带容量约束的车辆路径问题中效果较好, 改进的插入法则在带时间窗的车辆路径问题中具有优越性, 另外, 改进的启发式算法在4个测试用例上使用更多车辆时可使总路程优于已知最优值.     

多目标多时间窗车辆路径问题的鸽群-水滴算法

针对智能水滴算法求解带时间窗车辆路径规划收敛速度慢、计算精度差的问题,根据带时间窗车辆路径问题的应用要求,利用整数线性规划方法,以配送车辆的最小运输总成本、最短运输距离和最少安排数量为目标,综合考虑了车辆出发点、服务点、装载量、行驶距离、服务时间窗等诸多约束条件,构建了多目标多时间窗车辆路径模型;为了精准快速求解多目标多时间窗车辆路径模型,提出一种鸽群-智能水滴互补改进优化算法,将河道水滴离散二进制变换后,采用地图罗盘算子和地标算子分别改进水滴的流动速度和方向,并利用自适应变邻域扰动策略干扰水滴携带的泥土量,提高水滴算法的开发和探索能力;利用理想点法和罚函数与多目标优化混合方法分别处理多目标函数与约束条件,并以两种经典的带时间窗车辆路径问题为实例,通过与遗传算法、智能水滴算法和鸽群-水滴算法的计算结果进行比较,结果表明：在相同的算法参数和经济指标下,鸽群-水滴算法相比于智能水滴算法求解模型中的运输路径缩短20 km左右、运输成本节约403元左右,且该算法的求解时间和迭代次数也明显优于其他两种人工智能算法。     

灾变遗传算法求解带时间窗的车辆调度问题

提出一种可以有效求解带时间窗的车辆调度问题的灾变遗传算法.遗传算法作为一种高效的启发式算法被用于解决这类组合优化问题,但是该算法存在过早收敛、易陷入局部最优等缺陷.针对此问题,在搜索过程中采用灾变算子使遗传算法跳出局部最优,并针对车辆调度问题设计一种可以直接产生可行解的交叉算子,避免染色体交叉过程中产生不可行的子代.通过仿真算例验证了所提出的算法求解带时间窗的车辆调度问题的有效性;通过与标准遗传算法、改进遗传算法和粒子群算法的比较,进一步验证了灾变遗传算法在优化性能以及算法鲁棒性方面的优势.     

求解车辆路径问题的混合蚂蚁系统

研究车辆路径问题在物流配送系统中具有十分的重要意义。带时间窗车辆路径问题是每个客户的配送都有一个时间间隔限制的一类车辆路径问题。结合最大一最小蚂蚁系统、蚁群系统和最优一最差蚂蚁系统,提出求解带时间窗车辆路径问题的混合蚂蚁系统。实验结果表明：HAS能够有效地解决客户聚簇分布的带时间窗车辆路径问题。     

VRPSTW的混合改进蚁群优化算法*

软时间窗车辆路径问题（VRPSTW）是VRP的一种重要扩展类型,定义了其惩罚函数并建立数学模型。设计用于求解该问题的混合改进型蚁群算法并求解标准数据库中的紧时间窗实例。经过大量数据测试,获得了较好的效果,并验证了蚁群算法用于求解软时间窗车辆路径问题的成功实现。     

带时间窗的同时集散货物路线问题研究

研究了业务繁忙环境下带时间窗的同时集散货物路线问题．以车辆数、运输距离和完成运输任务的总 时间最小为目标建立了多目标模型,提出用基于路线集合划分的分解迭代算法求解该问题．该算法首先用两种策略 将问题的解分解为几个子集合,用记录更新法分别求解每个子集合,将子集合求得的最好路线反馈回来形成新的当 前解,再分解迭代,逐渐改善解的质量．最后数据实验表明该算法能有效解决带时间窗的单向车辆路线问题和集散 一体化的双向车辆路线问题．     

混合最大最小蚁群算法在VRPTW中的应用

为解决有时间窗车辆路径问题,采用两个最大最小蚁群系统,一个蚁群最小化车辆数量,另一个蚁群最小化旅行距离。通过分析有时间窗车辆路径问题和旅行商问题的区别,改进了最大最小蚁群算法中状态转移策略,并增加与可用车辆相同数量的虚拟仓库,使这两个蚁群使用独立的信息素但通过分享全局最优解来协作,算法还结合了2-opt局部搜索,从而减少了算法的计算时间并避免过早收敛。仿真实验结果表明,该算法性能优良,能有效地求解有时间窗车辆路径问题。     

Artificial intelligence heuristics in solving vehicle routing problems with time window constraints

This paper describes the authors’ research on various heuristics in solving vehicle routing problem with time window constraints (VRPTW) to near optimal solutions. VRPTW is NP-hard problem and best solved to near optimum by heuristics. In the vehicle routing problem, a set of geographically dispersed customers with known demands and predefined time windows are to be served by a fleet of vehicles with limited capacity. The optimized routines for each vehicle are scheduled as to achieve the minimal total cost without violating the capacity and time window constraints. In this paper, we explore different hybridizations of artificial intelligence based techniques including simulated annealing, tabu search and genetic algorithm for better performance in VRPTW. All the implemented hybrid heuristics are applied to solve the Solomon's 56 VRPTW with 100-customer instances, and yield 23 solutions competitive to the best solutions published in literature according to the authors’ best knowledge.     

Waste collection vehicle routing problem with time windows

In this paper, we address a real life waste collection vehicle routing problem with time windows (VRPTW) with consideration of multiple disposal trips and drivers’ lunch breaks. Solomon's well-known insertion algorithm is extended for the problem. While minimizing the number of vehicles and total traveling time is the major objective of vehicle routing problems in the literature, here we also consider the route compactness and workload balancing of a solution since they are very important aspects in practical applications. In order to improve the route compactness and workload balancing, a capacitated clustering-based waste collection VRPTW algorithm is developed. The proposed algorithms have been successfully implemented and deployed for the real life waste collection problems at Waste Management, Inc. A set of waste collection VRPTW benchmark problems is also presented in this paper.Waste collection problems are frequently considered as arc routing problems without time windows. However, that point of view can be applied only to residential waste collection problems. In the waste collection industry, there are three major areas: commercial waste collection, residential waste collection and roll-on-roll-off. In this paper, we mainly focus on the commercial waste collection problem. The problem can be characterized as a variant of VRPTW since commercial waste collection stops may have time windows. The major variation from a standard VRPTW is due to disposal operations and driver's lunch break. When a vehicle is full, it needs to go to one of the disposal facilities (landfill or transfer station). Each vehicle can, and typically does, make multiple disposal trips per day. The purpose of this paper is to introduce the waste collection VRPTW, benchmark problem sets, and a solution approach for the problem. The proposed algorithms have been successfully implemented and deployed for the real life waste collection problems of Waste Management, the leading provider of comprehensive waste management services in North America with nearly 26,000 collection and transfer vehicles.     

A general heuristic for vehicle routing problems

We present a unified heuristic which is able to solve five different variants of the vehicle routing problem: the vehicle routing problem with time windows (VRPTW), the capacitated vehicle routing problem (CVRP), the multi-depot vehicle routing problem (MDVRP), the site-dependent vehicle routing problem (SDVRP) and the open vehicle routing problem (OVRP).     

VNS methods for home care routing and scheduling problem with temporal dependencies,and multiple structures and specialties

The need for optimization in the Home Care Service is becoming more and more legitimate in the face of the increase of demand and cost all over the world. Recently, many researchers in the Operation Research community have been attracted by this issue, which presents interesting aspects related to the vehicle routing problems. In this paper, we consider a new variant called the vehicle routing problem with time windows, temporal dependencies (synchronization, precedence, and disjunction), multi‐structures, and multispecialties problem (VRPTW‐TD‐2MS). This new variant is an extension of the vehicle routing problems with time windows and synchronization constraints (VRPTW‐S) that is well‐studied in literature. We present a Mixed Integer Programming method, and propose three Variable Neighborhood Search approaches. Extensive experiments show the effectiveness and efficiency of the General Variable Neighborhood Search with Ejection Chains‐based local search for solving VRPTW‐TD‐2MS and VRPTW‐S.     

Modeling rolling batch planning as vehicle routing problem with time windows

This paper considers the rolling batch planning problem of grouping and sequencing a given set of slabs into several rolling units in iron and steel industry. The existing mathematical methods often used for the problem are traveling salesman problem (TSP) and vehicle routing problem (VRP), but these methods are not precise, because the position limitation of some slabs in a rolling unit scheduling is not considered. Therefore we suggest a new model, vehicle routing problem with time window (VRPTW) to describe the rolling batch planning problem, in which the position limitation of slabs are quantified as the time constraints. Several solution methods including the genetic algorithm are presented for solving the problem and the computational results show that the genetic algorithm is superior to other methods.In this paper, the vehicle routing problem with time window (VRPTW) of combinational optimization is used to analyze and model the rolling batch planning problem. Genetic algorithm and heuristic are used to solve the problem. Simulation results based on the actual production data show that this model is precise and the genetic algorithm based method is very promising.     

改进型蚁群算法参数优化研究

研究在不使用局部搜索情况下参数组合对改进型蚁群算法的影响。以带时间窗的车辆路径问题为例,针对基于最大最小蚁群算法的改进蚁群算法中的五个参数,运用均匀设计法对最优参数配置问题进行了研究。仿真实验表明改进的蚁群算法效果明显,能有效解决Solomon数据集中的R类和RC类问题,且具有较强的鲁棒性。对最优参数的局部调整没有明显提高算法获取最优解能力的问题,分析了其可能的原因。     

新型遗传模拟退火算法求解带VRPTW问题

为了克服现有遗传算法不能有效求解时间窗车辆路径问题的缺陷,提出了一种由遗传算法结合模拟退火算法的混合算法求解该问题,并与遗传算法进行了比较。该算法利用了模拟退火算法具有较强的局部搜索能力的特性,有效地克服了传统遗传算法的“早熟收敛”问题。实验结果表明,该算法具有计算效率高、收敛速度快和求解质量优的特点,是解决车辆路径问题的有效方法。     

基于Memetic算法的带时间窗车辆路径问题研究*

提出一种模拟文化进化的Memetic算法求解带时间窗的车辆路径问题。设计了一种实数编码方案,将离散的问题转为连续优化问题。采用邻域搜索帮助具备一定学习能力的个体提高寻优速度;采用禁忌搜索帮助部分个体跳出局部最优点,增强全局寻优性能。实验结果表明,该算法可以更有效地求出优化解,是带时间窗车辆路径问题的一种有效求解算法。