多时空配送任务驱动的无人车队车辆数优化方法

为解决快递终端配送多时空任务驱动下的最小无人车队车辆数配置问题,提出一种随机优化方法。首先,分析服务时长和等待时长对无人车队行驶路线规划的影响,从而构建最短路径模型;然后,基于二维时空网络构造服务序列网络;其次,通过网络转换将最小无人车队车辆数配置问题转化为网络最大流问题,并建立以车队车辆数最小为目标的最小车队模型;最后,针对模型特征设计一种融合Dijkstra算法和Dinic算法的Dijkstra-Dinic算法来对最小无人车队车辆数配置问题进行求解。在四种不同规模的服务网络中进行仿真实验,实验结果表明：在不同成功服务率下,最小无人车队车辆数与服务网络规模呈正相关,但随等待时长的增加而减少并趋向于稳定;所提算法中所引入的One-stop算子大大提高了搜索效率,所提模型和算法适用于大规模服务网络中的最小车队计算。     

Capacitated Refueling Station Location Problem with Traffic Deviations Over Multiple Time Periods

In this paper, we consider the problem of locating refueling stations in a transportation network via mathematical programming. The proposed model is applicable for several alternative fuel types and is particularly suitable for hydrogen fuel. We assume that a central planner, a hydrogen manufacturer or a government agency, determines the locations of the refueling stations for a given intra-city transportation network while accounting for multi-period travel demand, nonlinear refueling station operational cost, and the deviations of travelers from their shortest routes to refuel. Incorporating demand patterns over multiple periods allows us to account for both short- and long-term variation in hydrogen refueling demand (the former due to time of day, and the latter future hydrogen fuel cell vehicle growth). It also helps us model the changes in user preferences (station and route choices) and traffic conditions over different periods. To account for refueling station operational cost in making investment decisions, we introduce a staircase marginal cost function. In addition, the model explicitly considers station and route choices of travelers as they may deviate from their original paths to refuel, incurring additional costs and affecting the number and locations of refueling stations. We formulate this problem as a multi-period, mixed-integer model with constant link travel time and staircase operational cost at refueling stations. We applied two well-known solution algorithms, branch-and-bound and Lagrangian relaxation, to solve the problem. Our analysis shows that although we are able to solve the refueling station location problem to optimality with branch-and-bound, the Lagrangian relaxation approach provides very good results with less computational time. Additionally, our numerical example of Mashhad, Iran demonstrates that locating refueling stations with considering multi-period traffic patterns (as opposed to single-period) results in minimum network-wide traffic congestion and lower user and agency costs over a planning horizon.     

Bus-based park-and-ride system: a stochastic model on multimodal network with congestion pricing schemes

This paper focuses on modelling the network flow equilibrium problem on a multimodal transport network with bus-based park-and-ride (P&R) system and congestion pricing charges. The multimodal network has three travel modes: auto mode, transit mode and P&R mode. A continuously distributed value-of-time is assumed to convert toll charges and transit fares to time unit, and the users’ route choice behaviour is assumed to follow the probit-based stochastic user equilibrium principle with elastic demand. These two assumptions have caused randomness to the users’ generalised travel times on the multimodal network. A comprehensive network framework is first defined for the flow equilibrium problem with consideration of interactions between auto flows and transit (bus) flows. Then, a fixed-point model with unique solution is proposed for the equilibrium flows, which can be solved by a convergent cost averaging method. Finally, the proposed methodology is tested by a network example.     

An adaptive guidance approach for the heuristic solution of a minimum multiple trip vehicle routing problem

One of the most important problems in combinatorial optimization is the well-known vehicle routing problem (VRP), which calls for the determination of the optimal routes to be performed by a fleet of vehicles to serve a given set of customers. Recently, there has been an increasing interest towards extensions of VRP arising from real-world applications. In this paper we consider a variant in which time windows for service at the customers are given, and vehicles may perform more than one route within a working shift. We call the resulting problem the minimum multiple trip VRP (MMTVRP), where a “multiple trip” is a sequence of routes corresponding to a working shift for a vehicle. The problem objective is to minimize the overall number of the multiple trips (hence the size of the required fleet), breaking ties in favor of the minimum routing cost.     

动态共乘系统中一种高效的插入操作方法

针对现有插入操作方法因时间复杂度高而降低动态共乘系统的运行效率,设计了一种以最小化车辆绕行距离为优化目标的线性时间插入操作方法,考虑乘客上车、下车时间约束和车辆容量限制等条件的动态共乘路线优化问题.建立共乘路线模型,采用动态规划技术和固定源节点插入位置的策略,以及利用位置向量的计算结果,可在常量时间内找到车辆绕行距离最小的目标节点的插入位置.理论分析表明:方法能够在线性时间内找到源节点和目标节点的最佳插入位置.仿真结果表明,基于线性时间的插入操作方法能够迅速地得到共乘优化路线,显著提高了动态共乘系统的运行效率.     

区间数型多式联运路线优化问题的混合遗传算法*

多式联运路线优化问题直接关系到货物运输的费用、时间和运输质量。首先分析了多式联运路线优化问题的数学模型及虚拟运输网络图;其次,将区间数排序的思想引入适应度函数的设计中,提出了一种求解区间数型多式联运路线优化问题的混合型遗传算法,给出了染色体编码、遗传算子设计、约束判断与调整及群体多样性控制的方法;最后用示例对算法的有效性进行了验证,算法的提出可为多式联运经营者的决策提供数据参考。     

Approximation Algorithms for a Capacitated Network Design Problem

We study a capacitated network design problem with applications in local access network design. Given a network, the problem is to route flow from several sources to a sink and to install capacity on the edges to support the flow at minimum cost. Capacity can be purchased only in multiples of a fixed quantity. All the flow from a source must be routed in a single path to the sink. This NP-hard problem generalizes the Steiner tree problem and also more effectively models the applications traditionally formulated as capacitated tree problems. We present an approximation algorithm with performance ratio (ρ_ST + 2) where ρ_ST is the performance ratio of any approximation algorithm for the minimum Steiner tree problem. When all sources have unit demand, the ratio improves to ρ_ST + 1) and, in particular, to 2 when all nodes in the graph are sources.     

Adaptive Fuzzy Sliding Mode Controller for the Kinematic Variables of an Underwater Vehicle

This paper address the kinematic variables control problem for the low-speed manoeuvring of a low cost and underactuated underwater vehicle. Control of underwater vehicles is not simple, mainly due to the non-linear and coupled character of system equations, the lack of a precise model of vehicle dynamics and parameters, as well as the appearance of internal and external perturbations. The proposed methodology is an approach included in the control areas of non-linear feedback linearization, model-based and uncertainties consideration, making use of a pioneering algorithm in underwater vehicles. It is based on the fusion of a sliding mode controller and an adaptive fuzzy system, including the advantages of both systems. The main advantage of this methodology is that it relaxes the required knowledge of vehicle model, reducing the cost of its design. The described controller is part of a modular and simple 2D guidance and control architecture. The controller makes use of a semi-decoupled non-linear plant model of the Snorkel vehicle and it is compounded by three independent controllers, each one for the three controllable DOFs of the vehicle. The experimental results demonstrate the good performance of the proposed controller, within the constraints of the sensorial system and the uncertainty of vehicle theoretical models.     

基于改进混合蛙跳和GIS的城市垃圾车回收路径优化设计

针对城市生活垃圾由于回收不及时带来的二次污染加剧和现有的垃圾回收路径方案仍然成本过高的问题,设计了一种基于GIS和改进混合蛙跳算法的城市生活垃圾回收路径设计方法;首先引入了基于GIS的回收路径规划模型,以最小化垃圾回收总路径长度、车辆总费用和惩罚成本为目标建立了城市生活垃圾回收路径规划的数学模型;然后,对基本混合蛙跳算法进行了改进,提出了基于Tent映射和混沌扰动的初始种群生成方式,将规划的目标函数转换为适应度函数,为了加快算法的收敛速度,设计了一种自定义距离度量方式以衡量解之间的差异,从而实现最差解的自适应更新,以实现全局最优;最后,定义了基于GIS和改进混合蛙跳算法实现垃圾回收路径规划的具体算法;仿真实验表明:文中设计的算法能有效地实现城市垃圾回收路径规划,较其它算法相比,具有收敛速度快和寻优能力强的优点,是一种解决城市垃圾回收路径规划的可行方法。     

Modeling and analysis of single item multi-period procurement lot-sizing problem considering rejections and late deliveries

Integer linear programming approach has been used to solve a multi-period procurement lot-sizing problem for a single product that is procured from a single supplier considering rejections and late deliveries under all-unit quantity discount environment. The intent of proposed model is two fold. First, we aim to establish tradeoffs among cost objectives and determine appropriate lot-size and its timing to minimize total cost over the decision horizon considering quantity discount, economies of scale in transactions and inventory management. Second, the optimization model has been used to analyze the effect of variations in problem parameters such as rejection rate, demand, storage capacity and inventory holding cost for a multi-period procurement lot-sizing problem. This analysis helps the decision maker to figure out opportunities to significantly reduce cost. An illustration is included to demonstrate the effectiveness of the proposed model. The proposed approach provides flexibility to decision maker in multi-period procurement lot-sizing decisions through tradeoff curves and sensitivity analysis.     

基于智能垃圾桶的垃圾分类动态收运路径优化问题研究

针对城市生活垃圾分类收运过程中存在的环境二次污染和垃圾产生量不确定性等问题,提出了一种基于智能垃圾桶的动态收运车辆路径优化方法。建立以最小化碳排放成本、燃油消耗成本、固定成本和车辆延迟到达惩罚成本为目标的动态车辆路径优化模型。采用滚动时域的方式将动态问题转换为一系列静态问题,并设计两阶段算法进行求解。首先采用粒子群算法对收运车辆路径进行规划,而后在每个时域末,综合考虑待清运垃圾桶的位置和垃圾量、垃圾收运车辆的位置和装载量以动态调整现有车辆路径。研究结果表明,相较于传统的静态收运方案,动态垃圾收运方案能够在降低车辆运输成本和碳排放成本的同时,显著降低由于清运不及时造成的环境二次污染的风险。     

考虑用户偏好的启发式动态共乘匹配算法

针对现有算法很少考虑用户之间的共乘偏好需求,提出了一种考虑用户偏好的启发式动态共乘匹配算法。构建一个满足用户偏好需求的动态共乘匹配模型,旨在最大化系统匹配率和最小化车辆的绕行距离。算法首先根据出行请求的时间约束、车辆与用户的出行轨迹以及用户的兴趣偏好,过滤不满足用户偏好需求的车辆;其次,构建一个临时匹配图,设置边的权值为出行请求插入到车辆的当前行驶路线中的最小绕行距离;最后采用贪婪方式实现用户与车辆之间的匹配,并采用节点插入方式,将出行请求的出发地点和到达地点插入到车辆的当前行驶路线中。仿真结果表明,提出的启发式动态共乘匹配算法使车辆增加的平均绕行距离和运行时间低于现有算法,系统匹配率高于现有算法;用户的出行时间需求、兴趣偏好、信誉度等共乘需求对系统匹配率有显著影响。     

Cycle Flow Formulation of Optimal Network Flow Problems and Respective Distributed Solutions

In this paper, we use the cycle basis from graph theory to reduce the size of the decision variable space of optimal network flow problems by eliminating the aggregated flow conservation constraint. We use a minimum cost flow problem and an optimal power flow problem with generation and storage at the nodes to demonstrate our decision variable reduction method. The main advantage of the proposed technique is that it retains the natural sparse/decomposable structure of network flow problems. As such, the reformulated problems are still amenable to distributed solutions. We demonstrate this by proposing a distributed alternating direction method of multipliers (ADMM) solution for a minimum cost flow problem. We also show that the communication cost of the distributed ADMM algorithm for our proposed cycle-based formulation of the minimum cost flow problem is lower than that of a distributed ADMM algorithm for the original arc-based formulation.      

Bacterial foraging optimization and adaptive version for economically optimum sitting,sizing and harmonic tuning orders setting of LC harmonic passive power filters in radial distribution systems with linear and nonlinear loads

This paper presents bacterial foraging optimization (BFO) algorithm and its adaptive version to optimize the planning of passive harmonic filters (PHFs).The important problem of using PHFs is determining location, size and harmonic tuning orders of them, which is reach standard levels of harmonic distortion with applying minimum cost of passive filters.In this study to optimize the PHFs location, size and setting the harmonic tuning orders in the distribution system, considered objective function includes the reduction of power loss and investment cost of PHFs. At the same time, constraints include voltage limits, number/size of installed PHFs, limit candidate buses for PHFs installation and the voltage total harmonic distortion (THDv) in all buses. The harmonic levels of system are obtained by current injections method and the load flow is solved by the iterative method of power sum, which is suitable for the accuracy requirements of this type of study. It is shown that through an economical placement and sizing of PHFs the total voltage harmonic distortion and active power loss could be minimized simultaneously.The considered objective function is of highly non-convex manner, and also has several constraints. On the other hand due to significant computational time reduction and faster convergence of BFO in comparison with other intelligent optimization approach such as genetic algorithm (GA), particle swarm optimization (PSO) and artificial bee colony (ABC) the simple version of BFO has been implemented. Of course other versions of BFO such as Adaptive BFO and combination of BFO with other method due to complexity of harmonic optimization problem have not considered in this research.The simulation results for small scale test system with 10 buses, showed the significant computational time reduction and faster convergence of BFO in comparison with GA, PSO and ABC. Therefore in large scale radial system with 34 buses, the proposed method is solved using BFO.The simulation results for a 10-bus system as a small scale and 34-bus radial system as a large scale show that the proposed method is efficient for solving the presented problem.     

Modeling Mode and Route Similarities in Network Equilibrium Problem with Go-Green Modes

Environmental sustainability is a common requirement on the development of various real-world systems, especially on road transportation systems. Motorized vehicles generate a large amount of harmful emissions, which have adverse effects to the environment and human health. Environmental sustainability requires more promotions of ‘go-green’ transportation modes such as public transit and bicycle to realize the increasing travel demands while keeping the environmental expenses low. In this paper, we make use of recent advances in discrete choice modeling to develop equivalent mathematical programming formulations for the combined modal split and traffic assignment (CMSTA) problem that explicitly considers mode and route similarities under congested networks. Specifically, a nested logit model is adopted to model the modal split problem by accounting for mode similarity among the available modes, and a cross-nested logit model is used to account for route overlapping in the traffic assignment problem. This new CMSTA model has the potential to enhance the behavioral modeling of travelers’ mode shift between private motorized mode and ‘go-green’ modes as well as their mode-specific route choices, and to assist in quantitatively evaluating the effectiveness of different ‘go-green’ promotion policies.     

Distinguishing Multiproduct Economies of Scale from Economies of Density on a Fixed-Size Transport Network

In order to produce a certain vector of flows over a fixed-size network, a transport firm has to choose, among many other things, a route structure. In accommodating increasing traffic, transport firms will adjust their route structure to minimize costs. However, transport industry structure analysis considers only, often implicitly, the case where the route structure is fixed. In this paper, economies of density, that represents the latter, are conceptually distinguished from economies of scale on fixed-size networks, S, where we allow the route structure to vary. Intuition with a simple example, evidence from the airline industry and the derivation of a formula to calculate S from an estimated cost function are provided. Results are both novel and encouraging. Transport firms, while closer to exhaust economies of density, would still have available sizeable economies of scale.     

A label based ant colony algorithm for heterogeneous vehicle routing with mixed backhaul

Vehicle heterogeneity and backhaul mixed-load problems are often studied separately in existing literature. This paper aims to solve a type of vehicle routing problem by simultaneously considering fleet heterogeneity, backhaul mixed-loads, and time windows. The goal is to determine the vehicle types, the fleet size, and the travel routes such that the total service cost is minimized. We propose a multi-attribute Label-based Ant Colony System (LACS) algorithm to tackle this complex optimization problem. The multi-attribute labeling technique enables us to characterize the customer demand, the vehicle states, and the route options. The features of the ant colony system include swarm intelligence and searching robustness. A variety of benchmark instances are used to demonstrate the computational advantage and the global optimality of the LACS algorithm. We also implemented the proposed algorithm in a real-world environment by solving an 84-node postal shuttle service problem for China Post Office in Guangzhou. The results show that a heterogeneous fleet is preferred to a homogenous fleet as it generates more cost savings under variable customer demands.     

Stabilization of Motions of the Descent Vehicle in the Upper Atmosphere

The paper was written in continuation of a series of papers on construction of a control law stabilizing a wide range of motions of the controlled plant. At that, the law in essence must be independent of the plant's dynamic characteristics and the environment. These multimodal (general-purpose) laws must generate the control signal with the minimum computational burden and in the minimum time. These laws have other important characteristics concerning stability of the closed-loop system, its robustness, and so on. The paper studied a controlled plant moving under the action of aerodynamic and other forces. The distinction of the formulated control problem is due to the deficiency of the control actions because it is assumed that the controlled plant has only two control engines. This is the case in the well-known problem of controlling the descent vehicle by stabilizing its lateral motion on the hypersonic leg of flight in the upper atmosphere.     

A network flow model for load balancing in circuit-switchedmulticomputers

In multicomputers that utilize circuit switching or wormhole routing, communication overhead depends largely on link contention-the variation due to distance between nodes is negligible. This has a major impact on the load balancing problem. In this case there are some nodes with an excess load (sources) and other with a deficit load (sinks). A matching of sources to sinks is required to avoid contention. The problem is made complex by the hardwired routing on currently available machines: The user can control only which nodes communicate but not how the messages are routed. Network flow models of message flow in the mesh and the hypercube have been developed to solve this problem. The crucial property of these models is the correspondence between minimum cost flows and correctly routed messages. To solve a given load balancing problem, a minimum cost flow algorithm is applied to the network. This permits the efficient determination of a maximum contention free matching of sources to sinks that, in turn, tells how much of the given imbalance can be eliminated without contention     

时间依赖型车辆路径问题的一种改进蚁群算法

时间依赖型车辆路径规划问题(TDVRP),是研究路段行程时间随出发时刻变化的路网环境下的车辆路径优化.传统车辆路径问题(VRP)已被证明是NP-hard问题,因此,考虑交通状况时变特征的TDVRP问题求解更为困难.本文设计了一种TDVRP问题的改进蚁群算法,采用基于最小成本的最邻近法(NNC算法)生成蚁群算法的初始可行解,通过局部搜索操作提高可行解的质量,采用最大--最小蚂蚁系统信息素更新策略.测试结果表明,与最邻近算法和遗传算法相比,改进蚁群算法具有更高的效率,能够得到更优的结果;对于大规模TDVRP问题,改进蚁群算法也表现出良好的性能,即使客户节点数量达到1000,算法的优化时间依然在可接受的范围内.