求解柔性作业车间调度的混合PSO算法与实现

研究车间作业调度优化过程,针对资源的合理分配排序,采用PSO算法求解柔性作业车间调度问题,根据PSO算法存在易陷入局部极值和早熟的缺陷,引入遗传算法中的交叉算子和变异算子,构造求解柔性作业车间调度问题的混合PSO算法,能够较好地克服上述缺陷.采用面向对象的程序设计语言,设计并编码实现了混合PSO算法求解柔性作业车间调度问题的仿真软件.使用软件进行仿真,实验结果表明在求解柔性作业车间调度问题中,混合PSO算法的全局寻优和克服早熟能力均优于基本PSO算法,证明混合PSO算法求解柔性作业车间调度问题的有效性.     

改进灰狼算法求解多目标柔性作业车间调度问题

柔性作业车间调度问题(Flexible Jobshop Scheduling Problem,FJSP)是经典的NP-hard(Nondeterministic Polynomial-time hard)问题,针对该复杂问题,需要建立一个多目标的数学模型,采用灰狼优化算法对柔性作业车间的加工完成时间、总耗能和总机器负荷这三个目标进行优化,以加工完成时间、总耗能和总机器负荷作为研究目标。灰狼优化算法(GWO)是一种具有较高的寻优精度和收敛速度的算法,在此基础上对灰狼优化算法的初始化种群进行改进,为了使灰狼算法适用于多目标问题,与非支配排序遗传算法结合,引入非支配排序与拥挤度的概念,用于灰狼算法对种群的更新。对柔性作业车间调度算例进行测试,结果表明改进的灰狼算法针对多目标柔性作业车间调度可以找到最优解,以较少的迭代次数找到最小加工时间、最小总耗能及最小总机器负荷,对车间调度问题进行了优化。     

求解柔性作业车间调度的混合粒子群算法

将粒子群算法运用于求解柔性作业车间调度问题,采用基于轮盘赌的编码方法以及基于邻域互换的局部搜索方法。通过两个不同规模算例的试验计算,与基于粒子位置取整的编码方法进行对比分析,说明了轮盘赌编码方法求解柔性作业车间调度问题的有效性。且采用该编码方法的混合粒子群算法在求解柔性作业车间调度问题时具有更好的求解性能。     

基于需求优先的多目标柔性车间调度研究

为满足按时提交客户货物的要求,需要优化企业的生产调度,现实的生产调度问题是传统车间调度问题的扩充,具有多目标、柔性等特性。针对柔性作业车间调度的需要,提出了在精益制造下的基于需求优先的多目标柔性车间调度算法。该算法以工件提前／拖期惩罚代价最小,调度最小生产周期为目标,基于规则的改进启发式调度,在调度过程中通过需求日期计算工件的优先级为每道工序分配合适的机器进行加工,可得到满意的较优解。与其他方法进行对比试验的结果表明,该算法在求解柔性作业车间调度问题是有效的。     

基于人工蜂群算法的柔性工艺与车间调度集成优化

为实现柔性工艺与车间调度集成优化,在考虑工件特征的加工工艺、次序及加工机器的柔性基础上,以最小化最大完工时间为优化目标,提出一种基于交叉变异的人工蜂群算法。该算法针对柔性工艺与车间调度集成问题的离散性特征,对工艺路线进行序列编码,工件调度采用基于工序的编码方式。通过工艺种群与调度种群的交叉变异操作,分别使采蜜蜂及观察蜂进行局部寻优,侦查蜂进行全局寻优,以此提高算法性能。在此基础上用两部分测试实例分别验证了集成研究的必要性及改进算法的有效性。     

基于剪枝分层的柔性加工车间调度算法

针对柔性作业车间调度中工序间存在的冗余调度次序约束关系问题和工序-设备间存在的多加工模式情况,提出基于剪枝分层的柔性加工车间调度算法.该算法首先用有向无环图表示工序及工序间的调度次序关系,采用剪枝法消除图中的冗余弧,采用分层法对图中结点分层;其次对加工模式进行分类,制定工序-设备预约策略和工序-设备预分配策略;最后,采用事件驱动策略,驱动时刻按所提出的柔性加工策略调度工序加工.理论分析和实例表明,所提出的算法具有较好的调度效果.     

生物地理学算法求解柔性车间作业调度问题

针对加工设备和操作工人双资源约束的柔性作业车间调度问题,建立以生产时间和生产成本为目标函数的柔性作业车间调度模型,提出基于模糊Pareto支配的生物地理学算法,采用模糊Pareto支配的方法计算解之间的支配关系并对Pareto解集排序,进行全局最优值的更新,并采用余弦迁移模型来改善生物地理学算法的收敛速度。将该方法应用于某模具车间的柔性作业车间调度中,仿真结果验证了该方法的可行性和有效性。     

柔性作业车间调度问题的集成启发式算法

柔性作业车间调度问题,包括路径分配和加工排序2大子问题,是组合优化理论和实际生产管理的重要研究方向。作为传统作业车间调度的扩展,柔性作业车间调度问题的内在复杂性(强NP-Hard)使得传统的最优化方法难以有效求解。文章针对以多目标权重和最优为目标的柔性作业车间调度问题,提出基于过滤定向搜索的集成启发式算法,设计改进了节点分枝策略和局部/全局评价函数,能同时解决2大子问题。通过实例仿真,对算法性能进行比较分析和评价,结果表明了算法的可行性和有效性。     

批量生产柔性作业车间多目标精细化调度方法

提出了一种批量生产柔性作业车间多目标精细化调度方法。针对批量生产柔性作业车间多目标调度问题特点,建立了一类以完工时间最短和制造成本最低为优化目标的等量分批柔性作业车间调度多目标优化模型。提出了5种批量生产柔性作业车间精细化调度技术;设计了一种改进的NSGA II算法对模型进行求解。算法中引入面向对象技术处理复杂的实体逻辑关系,使用矩阵编码技术进行编码,采用分段交叉和分段变异的遗传算子实现遗传进化,应用上述5种精细化调度技术于解码过程以提高设备利用率。通过案例分析验证了该方法的有效性。     

Job-Shop调度问题的量子蚁群算法求解*

针对最小化最大完工时间的作业车间调度问题,提出了一种量子蚁群调度算法.该算法结合了量子计算中量子旋转门的量子信息和蚁群寻优的特点,通过作业车间调度问题的析取图表示,将原问题转换为求解析取图的关动路径,并利用量子蚁群算法进行求解.采用该算法对作业车间调度问题的基准数据进行测试,仿真结果表明了该算法的可行性和有效性.     

An effective subgradient algorithm for the generalized assignment problem

A modified subgradient algorithm is presented for the generalized assignment problem, which, like the classical assignment problem, is concerned with the minimum cost assignment of agents to jobs. The generalized assignment problem, however, permits differences in job performance efficiencies among agents and thereby allows the possibility that each agent may be assigned more than a single job, as long as each job is ultimately assigned and the total resources available to every agent are not exceeded. A two stage heuristic algorithm using a modified subgradient approach and branch and bound is developed for solving the problem. By computing step sizes precisely and using the dual as a bound, the algorithm is shown to be particularly effective and easy to program and implement. A numerical example is presented to illustrate the model and method, and computational experience is cited for problems containing up to 12,000 0–1 variables.     

求解包含复杂关联约束的JSSP 的二级嵌套混合算法

作业车间调度问题(JSSP)包含“设备分配”和“工序排序” 2 个相互耦合的子问题,目 前的研究主要集中于工序串行的小规模问题。如果工序之间还存在并行、甚至嵌套等复杂关联 约束,则可行域性状非常复杂,当规模较大时,甚至难以求得可行解。针对以上难点问题,在 分别发挥遗传算法求解“分配问题”和蚁群算法求解“排序问题”的优势基础上,提出了二级嵌套 模型及其基本思路。通过一系列改进策略,如：基于工序的整数编码策略、基于设备类型的多 节点交叉策略、设备类别区间内基因互换的变异策略、基于逆向遍历的可行路径形成策略、基 于最短加工时间的信息素播洒与更新策略等等,构造了集成遗传算法与蚁群算法于同一循环体 的二级嵌套混合算法。针对中等规模问题,分别采用遗传算法、蚁群算法、二级嵌套蚁群算法、 遗传算法与蚁群算法相结合的二级嵌套混合算法,进行了对比试验研究。结果验证了所提算法 的可靠性和优越性,为求解包含复杂关联约束的JSSP 提供了新思路和新方法。     

带负载均衡的混合算法求解分布式异构作业车间调度问题

针对以最小化最大完工时间为目标的分布式异构作业车间调度问题(DHJSP), 本文提出了一种新的混合遗传禁忌搜索算法. 首先, 综合考虑工厂的工件总负载与最大机器负载, 提出了一种新的工厂负载表达方式. 其次, 针对DHJSP总工序数不定的特性, 提出以最小化最大工厂负载为目标快速确定初始工件分配方案, 并验证了方法的高效性. 然后, 新设计了两种考虑负载均衡的单工件转移邻域结构, 根据工序调度的结果对工件分配方案进行局部搜索. 最后, 因DHJSP缺少标准算例和相关算法, 在分布式同构作业车间调度问题(DJSP)上与现有算法进行对比, 所提算法在TA算例的480个问题上更新了420个问题的最优解, 其余60个问题取得了同等最优解. 在随机生成的3个不同规模的异构算例中, 所提算法也均取得了较好解, 验证了所提方法的优越性.     

Single‐machine common flow allowance scheduling with aging effect,resource allocation,and a rate‐modifying activity

In this paper, we consider scheduling of deteriorating jobs on a single machine with slack (SLK) due date assignment, resource allocation, and a rate‐modifying activity. The rate‐modifying activity can change jobs’ processing rates such that the actual processing time of a job depends on whether the job is processed before or after the rate‐modifying activity. In addition, the actual processing time of a job also depends on its position in a processing sequence (i.e., the aging effect) and the amount of resource allocated to it. The objective is to determine the optimal sequence, optimal common flow allowance, optimal resource allocation, and optimal location of the rate‐modifying activity to minimize a total penalty function comprising the earliness, tardiness, common flow allowance, and resource allocation costs. We consider two variants of the problem associated with two different processing time functions and provide a polynomial‐time algorithm to solve each variant.     

人数少于任务数的全指派问题的迭代算法

针对人数少于任务数的情况,按每人至少承担一项任务,至多承担L项任务,但每项任务只允许一人承担的指派原则,给出了一种求解这种指派问题的迭代算法,该算法操作简便、易于用计算机运行。构建该算法的方法,用于某些其它指派问题,可以使相应的算法更加便捷。     

柔性作业车间人员配置及作业排序问题研究*

以最小化任务完成时间为目标,建立了柔性作业车间人员配置及作业排序模型,并设计了蚁群-遗传混合优化算法进行求解。首先,根据求解问题特征,设计了蚁群-遗传协调优化的算法结构。其中,蚁群算法求解资源配置,遗传算法求解既定资源配置方案下的作业排序;其次,为便于蚂蚁游历中配置任务的加工设备和操作人员,设计了一种新的蚂蚁游历地图及地图上启发式信息的计算方法和更新方式;再次,遗传算法采用基于工序优先权值的实数编码方式,并采用父子排序的精英保留策略以促进算法收敛;最后,通过两个不同规模的实例,比较其与其他算法及不同资源配置规则的运行结果,说明本算法能较好的求解柔性作业车间的人员配置及作业排序问题。     

Two-machine no-wait flowshop scheduling with learning effect and convex resource-dependent processing times

Two-machine no-wait flowshop scheduling problems in which the processing time of a job is a function of its position in the sequence and its resource allocation are considered in the study. The primary objective is to find the optimal sequence of jobs and the optimal resource allocation separately. Here we propose two separate models: minimizing a cost function of makespan, total completion time, total absolute differences in completion times and total resource cost; minimizing a cost function of makespan, total waiting time, total absolute differences in waiting times and total resource cost. Since each model is strongly NP-hard, we solve both models by breaking them down to two sub-problems, the optimal resource allocation problem for any job sequence and the optimal sequence problem with its optimal resource allocation. Specially, we transform the second sub-problem into the minimum of the bipartite graph optimal matching problem (NP-hard), and solve it by using the classic KM (Kuhn–Munkres) algorithm. The solutions of the two sub-problems demonstrate that the target problems remain polynomial solvable under the proposed model.     

Single-machine batch delivery scheduling with an assignable common due date and controllable processing times

We consider single-machine batch delivery scheduling with an assignable common due date and controllable processing times, which vary as a convex function of the amounts of a continuously divisible common resource allocated to individual jobs. Finished jobs are delivered in batches and there is no capacity limit on each delivery batch. We first provide an O(n⁵) dynamic programming algorithm to find the optimal job sequence, the partition of the job sequence into batches, the assigned common due date, and the resource allocation that minimize a cost function based on earliness, tardiness, job holding, due date assignment, batch delivery, and resource consumption. We show that a special case of the problem can be solved by a lower-order polynomial algorithm. We then study the problem of finding the optimal solution to minimize the total cost of earliness, tardiness, job holding, and due date assignment, subject to limited resource availability, and develop an O(nlog n) algorithm to solve it.     

Job scheduling and processor allocation for grid computing on metacomputers

Scheduling is a fundamental issue in achieving high performance on metacomputers and computational grids. For the first time, the job scheduling problem for grid computing on metacomputers is studied as a combinatorial optimization problem. A cost model is proposed for modeling communication heterogeneity on computational grids. A processor allocation algorithm is developed which always finds an optimal processor allocation that minimizes the effective execution time of a job when the job is being scheduled. It is proven that the list scheduling (LS) algorithm can achieve reasonable worst-case performance bound in grid environments supporting distributed supercomputing with large applications. We compare the performance of various job scheduling and processor allocation algorithms for grid computing on metacomputers. We evaluate the performance of 128 combinations of two job scheduling algorithms, four initial job ordering strategies, four processor allocation algorithms, and four metacomputers by extensive simulation. It is found that the combination of largest job first (LJF) initial job ordering and minimum effective execution time (MEET) or largest machine first (LMF) processor allocation algorithm yields the best average-case performance, and the choice of FCFS and LS depends on the range of job sizes. It is also observed that communication heterogeneity does have significant impact on schedule lengths.     

非确定型指派问题的求解算法

考虑了一类非确定型指派问题,每人所承担的工作数不确定,按每人至少承担一项工作,每项工作只允许一人承担的指派原则,针对人员无工作数限制和有工作数限制两种情况加以讨论和分析,借鉴Floyd算法的负回路思想,提出了一种迭代算法,并给出了应用此算法求解的具体实例。实验表明：与其他求解算法相比,该算法求解规模小,效率高,应用简便,易于编程实现。