基于连续函数优化的禁忌搜索算法

提出了一种连续禁忌搜索算法,用于求解连续函数优化问题.邻域规则及禁忌规则是禁忌搜索算法的核心,针对连续函数解空间的连续性,提出了一种邻域分割法来进行邻域搜索,并对禁忌规则进行了设计.通过经典函数测试可以看出,禁忌搜索算法在连续函数优化问题中显示出很强的"爬山"能力,优化结果与实际最优值非常接近,是一种有效的全局优化算法.     

基于改进变邻域搜索算法的多批次协同任务规划

目的 对多批次协同任务进行分析与建模,并研究任务规划的求解算法。方法 以车载装备多批次协同执行任务为例,综合考虑时间协同、任务区域协同和补给区域协同约束,以暴露时间最短为目标函数建立模型,并提出一种改进变邻域搜索算法进行求解,该方法根据邻域的优化能力自动调整迭代时选择该邻域的概率。结果 仿真结果表明,改进策略在不降低最优解质量的情况下,能够避免标准变邻域搜索算法后期易出现某些邻域长时间无法寻找到最优解的情况,有效提高了算法的效率。结论 变邻域搜索算法可以解决多批次任务规划问题,改进后的算法减少了后期对优化能力不强的邻域的搜索次数,有效提升了算法效率。     

不确定车数的随机车辆路径问题模型及算法

研究了一类有时间约束、车辆数量不确定的随机车辆路径问题;建立了该类问题的随机规划数学模型;设计了模型求解的遗传算法、禁忌搜索算法和遗传-禁忌混合算法.禁忌算法采用了对当前解的车辆-顾客分配结构和解的路径顺序分别禁忌的双层禁忌算法,使算法全局性更好,同时也降低了搜索时间.把禁忌算法作为变异算子应用于遗传算法形成了混合算法.最后给出了计算示例,对算法进行了比较分析.     

考虑废物包装时间的车辆回收路径规划方法

针对考虑废物包装时间的车辆回收路径规划问题,建立问题数学模型,提出禁忌搜索算法与模因算法求解该问题,并与爬山算法、遗传算法进行对比.模因算法是爬山算法和遗传算法的结合.实验结果表明:在解的质量方面,禁忌搜索算法与模因算法所求出的解的质量要远远好于另外两种算法,但在运行时间上,禁忌搜索、爬山算法与遗传算法要远优于模因算法.     

任务分配问题的对称群方法

探讨了无人飞行器（UAV）编队的任务分配问题。任务分配是UAV协同控制的基础,其解是任务区域内各任务的一个排列。求解UAV任务分配问题的有效方法是能在合理的计算时间内找到近似最优解的启发式算法。用对称群描述UAV任务分配的搜索空间,基于右乘运算构造搜索邻域。仿真结果验证了群论禁忌搜索算法的有效性。     

具有时间窗约束累积性车辆路径问题的禁忌搜索优化算法

基于对中国实际物流运输中成本计算方法的研究,考虑到我国高速公路系统计价方式的特殊性,提出了具有时间窗约束的累积性车辆路径问题。以降低实际车辆运输成本为目标,设计了新型的禁忌搜索算法对问题进行有效求解;算法中嵌入多种邻域搜索方法,允许同时在可行和不可行解空间内进行邻域搜索,同时采用Nagata提出的时间窗违反量计算方法[1-2]对解的时间窗约束违反进行评估。针对提出的新型问题的数值试验证明了所采用的时间窗违反量计算方法的时间节约性和有效性;同时由于该问题可以覆盖传统的累积性车辆路径问题,对后者的数值实验以及与其他优化算法的对比验证了所提出算法的优良求解效果。     

多车程多时间窗车辆路径问题研究

针对末端物流中配送车辆多趟次运输、客户对配送服务时间的多样化需求,研究多车程多时间窗车辆路径问题。构造该问题的最小化车辆数量和总运输成本的双目标混合整数规划模型,设计改进的自适应大邻域搜索算法对其求解;构建了基于路径、车程及客户点3个层级上的多种高效的破坏算子和修复算子来扩大解的搜索空间;使用自适应策略选择高效的搜索算子,以及引入模拟退火新解接受准则避免陷入局部最优解来提高搜索效率。通过多种规模算例实验结果分析,验证了改进的自适应大邻域搜索算法的优越性,并分析了考虑多车程的模型对总运输成本的影响。     

求解考虑顺序相关调整时间的双边装配线平衡问题的变邻域搜索算法

为有效解决带有顺序相关调整时间的双边装配线平衡问题,提出了一种简单高效的变邻域搜索算法。该算法通过将优先关系约束融入到交换、插入、交叉、变异等算子中,分别得到4个不同的邻域结构来保证搜索过程中解的可行性,避免过多重复邻域解的生成。4个邻域结构的搜索空间依次变大,以增强算法搜索能力。同时,结合装配线的特点,提出基于作业序列的编码和解码方式,在解码过程中,优先选择空闲时间较多的边,引入启发式目标加快算法收敛。分配结束后,对装配线末端的工作站组进行局部调整。通过将该算法先后用于求解无/有顺序相关调整时间的双边装配线平衡第一类问题,并与已有的算法进行对比,验证了所提的变邻域搜索算法的优越性和有效性。     

混合模拟植物生长算法在包装件配送中的应用

目的针对改进模拟植物生长算法(IPGSA)容易陷入局部最优解及其算法运行时间较长,提出混合模拟植物生长算法(HPGSA)来求解带时间窗车辆调度问题(VSPTW)。方法在IPGSA基础上,提出求解包装件物流配送中VSPTW的混合模拟植物生长算法(HPGSA)。改进IPGSA初始调度方案的构造方式,设计求解VSPTW的C-W算法用于构造HPGSA的初始调度方案;改进IPGSA的邻域搜索算子,选择插入搜索算子和互换搜索算子对HPGSA进行邻域搜索;对18个不同规模的Solomon算例进行仿真测试。结果相对于其他智能算法,HPGSA具有更好的求解性能,能够保证VSPTW对求解算法的要求。结论 HPGSA的全局优化能力、稳定性和运行速度均优于IPGSA、遗传算法、蚁群算法和禁忌搜索算法。     

考虑油耗的车辆调度问题模型与算法

针对目前运输行业中能源消耗已经成为影响社会环境和运行成本的重要因素这一实际,在分析汽车行驶油耗规律和定量描述的基础上,引入考虑能源消耗的车辆调度问题,考虑了车辆运行能耗目标以及客户的需求时间窗等约束,建立问题的精确数学模型。由于问题具有NP hard性质,为了求解实际大规模此类问题而设计了一种新型禁忌搜索算法。该算法引入大规模邻域搜索思想,并提出基于虚拟车辆的新型搜索邻域。通过算例试验验证了算法的有效性。     

A tabu search algorithm for simultaneous machine/AGV scheduling problem

Machines and automated guided vehicles (AGVs) scheduling problems are two essential issues that need to be addressed for the efficiency of the overall production system. The purpose of this paper is to study the simultaneous scheduling problem of machines and AGVs in a flexible manufacturing system (FMS) since the global optimum cannot be reached by considering each of them individually. In this paper, a mixed integer linear programming (MILP) model is developed with the objective of makespan minimisation. The MILP model consists of the following two constraint sets: machines and AGVs scheduling sub-problems. As both sub-problems are known to be NP-hard, a heuristic algorithm based on tabu search (TS) is proposed to get optimal or near to optimal solution for large-size problems within reasonable computation time. The proposed algorithm includes a novel two-dimensional solution representation and the generation of two neighbour solutions, which are alternately and iteratively applied to improve solutions. Moreover, an improved lower bound calculation method is introduced for the large-size problems. Computational results show the superior performance of the TS algorithm for the simultaneous scheduling problem.     

A weighted min–max model for balanced freight train routing problem with fuzzy information

A multi-objective freight train routing problem with fuzzy information is investigated in this article. To handle the fuzziness in the railway transportation system, the measure ?_λ (i.e. the convex combination of a possibility measure and a necessity measure) is first introduced. Then, a min–max chance-constrained programming model is constructed to obtain optimal train routing plans. In order to solve the model, a potential route algorithm, fuzzy simulation and tabu search algorithm are integrated as a hybrid algorithm. Finally, some numerical experiments are performed to show the applications of the model and the algorithm.     

A capacitated vehicle routing problem with order available time in e-commerce industry

In this article, a variant of the well-known capacitated vehicle routing problem (CVRP) called the capacitated vehicle routing problem with order available time (CVRPOAT) is considered, which is observed in the operations of the current e-commerce industry. In this problem, the orders are not available for delivery at the beginning of the planning period. CVRPOAT takes all the assumptions of CVRP, except the order available time, which is determined by the precedent order picking and packing stage in the warehouse of the online grocer. The objective is to minimize the sum of vehicle completion times. An efficient tabu search algorithm is presented to tackle the problem. Moreover, a Lagrangian relaxation algorithm is developed to obtain the lower bounds of reasonably sized problems. Based on the test instances derived from benchmark data, the proposed tabu search algorithm is compared with a published related genetic algorithm, as well as the derived lower bounds. Also, the tabu search algorithm is compared with the current operation strategy of the online grocer. Computational results indicate that the gap between the lower bounds and the results of the tabu search algorithm is small and the tabu search algorithm is superior to the genetic algorithm. Moreover, the CVRPOAT formulation together with the tabu search algorithm performs much better than the current operation strategy of the online grocer.     

Research on Vehicle Routing Problem with Soft Time Windows Based on Hybrid Tabu Search and Scatter Search Algorithm

With the expansion of the application scope of social computing problems, many path problems in real life have evolved from pure path optimization problems to social computing problems that take into account various social attributes, cultures, and the emotional needs of customers. The actual soft time window vehicle routing problem, speeding up the response of customer needs, improving distribution efficiency, and reducing operating costs is the focus of current social computing problems. Therefore, designing fast and effective algorithms to solve this problem has certain theoretical and practical significance. In this paper, considering the time delay problem of customer demand, the compensation problem is given, and the mathematical model of vehicle path problem with soft time window is given. This paper proposes a hybrid tabu search (TS) & scatter search (SS) algorithm for vehicle routing problem with soft time windows (VRPSTW), which mainly embeds the TS dynamic tabu mechanism into the SS algorithm framework. TS uses the scattering of SS to avoid the dependence on the quality of the initial solution, and SS uses the climbing ability of TS improves the ability of optimizing, so that the quality of search for the optimal solution can be significantly improved. The hybrid algorithm is still based on the basic framework of SS. In particular, TS is mainly used for solution improvement and combination to generate new solutions. In the solution process, both the quality and the dispersion of the solution are considered. A simulation experiments verify the influence of the number of vehicles and maximum value of tabu length on solution, parameters’ control over the degree of convergence, and the influence of the number of diverse solutions on algorithm performance. Based on the determined parameters, simulation experiment is carried out in this paper to further prove the algorithm feasibility and effectiveness. The results of this paper provide further ideas for solving vehicle routing problems with time windows and improving the efficiency of vehicle routing problems and have strong applicability.     

Response to Al-Hakim's note

Storage location assignment and interleaving policy are two closely related problems in warehousing management. This paper addresses the location assignment and interleaving problem at the same time in an automated storage/retrieval system with duration-of-stay based shared storage policy. Based on the heuristics for single command operation, a two-step procedure is developed to solve the problem. A tabu search algorithm is proposed to improve the solution for medium and large sized problems. The computational results indicate that the tabu search algorithm is effective in finding high quality solutions, and efficient in solving large sized problems.     

A local search approach for two-dimensional irregular cutting

A two-dimensional irregular cutting problem is considered. Two new approximation algorithms based on tabu search and simulated annealing, have been proposed and implemented in [7]. The advantage, in terms of the solution's quality, of the tabu method over Albano-Sapuppo's, Gurel's and simulated annealing ones has been shown in [5,7]. This paper provides a study of the various versions of the tabu search approach used for the problem. The results obtained for different methods are presented and compared.     

遗传禁忌搜索算法在混流装配线排序中的应用

针对混流装配线排序问题，提出了一种混合遗传禁忌搜索算法，在每一代遗传演化之后，按一定比例随机选择部分解进行禁总搜索，以提高算法的全局搜索能力和收敛性。通过一个混流装配线排序实验，分别利用遗传算法和遗传禁忌搜索算法进行求解，结果表明遗传禁忌搜索算法具有更好的全局搜索能力和收敛性能。     

Optimization of truss topology using tabu search

A design procedure for integrating topological considerations in the framework of structural optimization is presented. The proposed approach is capable of considering multiple load conditions, stress, displacement and local/global buckling constraints, and multiple objective functions in the problem formulation. Further, since the proposed method permits members to be added to or deleted from an existing topology and the topology is not defined by member areas, the difficulty of not being able to reach singular optima is also avoided. These objectives are accomplished using a discrete optimization procedure which uses 0–1 topological variables to optimize alternate designs. Since the topological variables are discrete in nature and the member cross-sections are assumed to be continuous, the topological optimization problem has mixed discrete-continuous variables. This non-linear programming problem is solved using a memory-based combinatorial optimization technique known as tabu search. Numerical results obtained using tabu search for single and multiobjective topological optimization of truss structures are presented. To model the multiple objective functions in the problem formulation, a cooperative game theoretic approach is used. The results indicate that the optimum topologies obtained using tabu search compare favourably, and in some instances, outperform the results obtained using the ground–structure approach. However, this improvement occurs at the expense of a significant increase in computational burden owing to the fact that the proposed approach necessitates that the geometry of each trial topology be optimized.