基于多旅行商问题的应急设施服务区划分模型

基于多旅行商问题，增设集散中心需求及应急服务设施资源容量约束条件，以最小化遍历区域内全部集散中心的综合旅行时间成本为优化目标，构建一种应急设施服务区划分模型，确定各应急设施的服务区范围.设计一种复合算法求解模型，首先基于P-中值选址模型的优化理念，形成初始方案；继而加入禁忌搜索算法，结合LKH求解器对模型进行迭代优化求得最优解.基于宁波市北仑区实际拓扑网络进行案例分析，验证了模型和求解方法的有效性.     

An optimal data-splitting algorithm for aircraft scheduling on a single runway to maximize throughput

In this research, we present a data-splitting algorithm to optimally solve the aircraft sequencing problem (ASP) on a single runway under both segregated and mixed-mode of operation. This problem is formulated as a 0–1 mixed-integer program (MIP), taking into account several realistic constraints, including safety separation standards, wide time-windows, and constrained position shifting, with the objective of maximizing the total throughput. Varied scenarios of large scale realistic instances of this problem, which is NP-hard in general, are computationally difficult to solve with the direct use of commercial solver as well as existing state-of-the-art dynamic programming method. The design of the algorithm is based on a recently introduced data-splitting algorithm which uses the divide-and-conquer paradigm, wherein the given set of flights is divided into several disjoint subsets, each of which is optimized using 0–1 MIP while ensuring the optimality of the entire set. Computational results show that the difficult instances can be solved in real-time and the solution is efficient in comparison to the commercial solver and dynamic programming, using both sequential, as well as parallel, implementation of this pleasingly parallel algorithm.     

时间多项式进化算法在旅行商问题中的研究

提出了一种模拟生物遗传的进化算法，并将该算法应用于旅行商问题得到了较好的结果，根据达尔文进化论的优化过程，结合自然选择原则提出了启发式算法，该算法的时间复杂性与快速排序策略相当。在文中利用该算法求解中国旅行商问题得到目前的最佳结果。     

基于图论的物流配送线路问题研究

以连锁企业城市配送中心辐射范围内的三级物流配送为研究问题,通过分析旅行商问题与哈密尔顿回路的对应性,在证明哈密尔顿回路存在性的基础上,应用图论优化方法获得满足最小费用流的哈密尔顿回路,从而求解城市配送系统范畴内的区域配送线路问题。通过实例分析,该方法在求解此类问题的可行性和优越性得到了验证。     

求解旅行商问题的一种新方法

目前关于旅行商问题的启发式算法主要分为两类:环路构造算法和环路改进算法.通过对两类近似算法的深入研究,提出了一种新的方法――简化模型法来求解旅行商问题.该方法通过排序和选择操作得到原网络图的简化模型,对简化模型中的路径进行重构得到旅行商问题的解.通过测试TSPLIB中的实例,表明用简化模型法求解旅行商问题解的质量高、收敛快,时耗小,该算法是实用的.     

一种改进蚁群优化算法的仿真研究

针对蚁群优化算法存在容易陷入局部最优、收敛速度慢、参数设置复杂等缺点,提出了一种改进的蚁群优化算法,研究了伪随机比例转移规则中参数 的取值方法,并对信息素的取值方式和信息素的更新规则进行了改进。最后以中国31个城市的旅行商问题和路径规划问题为实例,分别运用改进前后的蚁群算法进行了仿真研究。仿真结果表明：改进之后的算法不仅能够得到更好的解,更能显著地提高算法的收敛速度。     

有时间约束旅行商问题的启发式遗传算法

有时间约束的旅行商问题作为旅行商问题的拓展,是一个重要的NP难题,深入研究这一问题具有重要的理论和实践意义。将时间窗约束转化为目标约束,采用序列编码设计了基于启发式规则的可同时处理软、硬时间约束的遗传算法——2-交换变异的遗传算法和3-交换变异的遗传算法。实验表明HGA1优于简单遗传算法(SGA),HGA2优于HGA1。     

The flying sidekick traveling salesman problem: Optimization of drone-assisted parcel delivery

Once limited to the military domain, unmanned aerial vehicles are now poised to gain widespread adoption in the commercial sector. One such application is to deploy these aircraft, also known as drones, for last-mile delivery in logistics operations. While significant research efforts are underway to improve the technology required to enable delivery by drone, less attention has been focused on the operational challenges associated with leveraging this technology. This paper provides two mathematical programming models aimed at optimal routing and scheduling of unmanned aircraft, and delivery trucks, in this new paradigm of parcel delivery. In particular, a unique variant of the classical vehicle routing problem is introduced, motivated by a scenario in which an unmanned aerial vehicle works in collaboration with a traditional delivery truck to distribute parcels. We present mixed integer linear programming formulations for two delivery-by-drone problems, along with two simple, yet effective, heuristic solution approaches to solve problems of practical size. Solutions to these problems will facilitate the adoption of unmanned aircraft for last-mile delivery. Such a delivery system is expected to provide faster receipt of customer orders at less cost to the distributor and with reduced environmental impacts. A numerical analysis demonstrates the effectiveness of the heuristics and investigates the tradeoffs between using drones with faster flight speeds versus longer endurance.     

Novel Local Search Method for the Traveling Salesman Problem

A new local search method for the traveling salesman problem based on an original greedy representation of solution space and neighborhood structure is proposed. First, a partial closed route that only consists of three cities is given; then other cities are added to this route by a greedy procedure successively. Implemented on a personal computer, this algorithm finds optimal solutions for 24 out of 27 standard benchmarks, and outperforms the Full Subpath Ejection Algorithm (F-SEC) proposed by Rego in 1998.     

基于多旅行商问题的应急设施服务区划分模型

基于多旅行商问题,增设集散中心需求及应急服务设施资源容量约束条件,以最小化遍历区域内全部集散中心的综合旅行时间成本为优化目标,构建一种应急设施服务区划分模型,确定各应急设施的服务区范围.设计一种复合算法求解模型,首先基于P-中值选址模型的优化理念,形成初始方案;继而加入禁忌搜索算法,结合LKH求解器对模型进行迭代优化求得最优解.基于宁波市北仑区实际拓扑网络进行案例分析,验证了模型和求解方法的有效性.