Modelling and solving algorithm for two-stage scheduling of construction component manufacturing with machining and welding process

This paper focuses on a two-stage machining and welding scheduling problem based on an investigation at a structural metal manufacturing plant, aiming to minimise the total makespan. Several parts processed at Stage one according to classical job-shop scheduling are grouped into a single construction component at the second welding stage. Fabrication of the construction component cannot begin until all comprising parts have been completed at Stage one. This paper establishes a novel mathematic model to minimise the total makespan by mainly considering the dominance relationship between the construction component and the corresponding parts. In order to solve this two-stage problem, we propose an improved harmony search algorithm. A local search method is applied to the best vector at each iteration, so that a more optimal vector can be subsequently realised. The average value, minimum value, relative percentage deviation and standard deviation are discussed in the experimental section, and the proposed local best harmony search algorithm outperforms the genetic algorithm, immune algorithm and harmony search algorithm without local search. Moreover, six optimal solutions are given as Gantt charts, which vividly illustrate that the mathematical model established in this paper can facilitate the development of a better scheduling scheme.     

Scheduling trees with large communication delays on two identical processors

We consider the problem of scheduling trees on two identical processors in order to minimize the makespan. We assume that tasks have unit execution times, and arcs are associated with large identical integer communication delays. We prove that the problem is NP-hard in the strong sense even when restricted to the class of binary trees, and we provide a polynomial-time algorithm for complete binary trees.This work has been partially supported by the French-Greek bilateral exchange program PLATON and the GDR-PRS Ordonnancement pour le parallélisme program of the French government.     

Hybridization of Metaheuristics Based Energy Efficient Scheduling Algorithm for Multi-Core Systems

The developments of multi-core systems (MCS) have considerably improved the existing technologies in the field of computer architecture. The MCS comprises several processors that are heterogeneous for resource capacities, working environments, topologies, and so on. The existing multi-core technology unlocks additional research opportunities for energy minimization by the use of effective task scheduling. At the same time, the task scheduling process is yet to be explored in the multi-core systems. This paper presents a new hybrid genetic algorithm (GA) with a krill herd (KH) based energy-efficient scheduling technique for multi-core systems (GAKH-SMCS). The goal of the GAKH-SMCS technique is to derive scheduling tasks in such a way to achieve faster completion time and minimum energy dissipation. The GAKH-SMCS model involves a multi-objective fitness function using four parameters such as makespan, processor utilization, speedup, and energy consumption to schedule tasks proficiently. The performance of the GAKH-SMCS model has been validated against two datasets namely random dataset and benchmark dataset. The experimental outcome ensured the effectiveness of the GAKH-SMCS model interms of makespan, processor utilization, speedup, and energy consumption. The overall simulation results depicted that the presented GAKH-SMCS model achieves energy efficiency by optimal task scheduling process in MCS.     

流水作业批调度问题优化算法研究

为解决流水作业环境作业尺寸有差异的批调度问题,建立了基于混合整数规划方法的最大时间跨度模型,分析问题的计算复杂性,给出设备数、作业数既定情况下的可行解规模.设计一种混合蚁群算法对最大时间跨度进行优化,结合算法的搜索机制和批调度启发式规则,实现了最小化最大时间跨度.利用模拟退火方法改进蚁群算法路径选择,避免算法陷入局部最优和过早收敛.实验设计随机算例,对各类不同规模的算例进行仿真实验,实验结果表明混合蚁群算法在最优解、平均运行时间和最大时间跨度等方面优于其他同类算法.     

基于总空闲时间增量的无等待流水调度混合遗传算法

将NP-难的最小化最大完工时间无等待流水调度问题等价转化为最小化总空闲时间的问题,改变传统求解调度序列目标函数的模式,通过目标函数变化量判断新解的优劣,大大降低算法所需计算时间.分析启发式算法基本操作和进化算子的总空闲时间增量性质,设计基本总空闲时间增量法以快速评估新产生解的质量.提出混合遗传算法IHGA(increment based hybrid genetic algorithm)求解该问题,构造相应初始种群生成方法和进化算子,提出进化概率动态更新策略和种群收敛判断与再生机制;算法混合了迭代改进局部搜索以进一步提高解的质量,基于120个经典Benchmark实例,将IHGA与目前求解该问题的有效算法RAJ,GR,SA2,TSM和FCH进行比较,实验结果表明:IHGA在性能方面优于其他,计算效率方面优于SA2和TSM,略逊于GR,RAJ和FCH.     

基于深度优先搜索算法的连铸过程调度方法的研究

炼钢连铸过程是连接铁区生产和轧制生产的桥梁,连铸是炼钢连铸过程的最后一道工序,因此连铸过程的调度成为了整个钢铁生产过程降低生产成本,保证生产有序进行的关键.本文提出了以完成时间最小化为目标的调度数学模型,通过对计划层编制的浇次计划属性与连铸机属性匹配构造出的浇次集合,采用基于启发式的深度优先搜索算法进行求解,摒弃了以往现场调度人员传统的经验调度方法,该方法已经通过了国内某大型钢铁厂实际数据的测试,不仅能够保证生产的顺利进行,同时也能够有效的辅助现场调度人员有效的降低钢铁生产的生产周期,提高钢铁生产的产能.     

一种新的混合生产调度问题的优化求解

研究了一种新的生产调度问题的优化问题,针对这种新的调度模式,设计了一种两层遗传算法进行优化求解。算法采用了上下两层共同进化,上层遗传算法优化产品生产过程中每类产品对应每台设备所生产的物料类型的分配,下层遗传退火算法优化了所有产品子批量的一个排序。在算法的求解过程中,引入了针对该问题的一个新的批量加工时间计算方法来求得最大完成时间指标的值。最后通过系统仿真论证了算法以及批量完工时间计算的有效性。     

Studying the effect of server side-constraints on the makespan of the no-wait flow-shop problem with sequence-dependent set-up times

This paper deals with the problem of scheduling the no-wait flow-shop system with sequence-dependent set-up times and server side-constraints. No-wait constraints state that there should be no waiting time between consecutive operations of jobs. In addition, sequence-dependent set-up times are considered for each operation. This means that the set-up time of an operation on its respective machine is dependent on the previous operation on the same machine. Moreover, the problem consists of server side-constraints i.e. not all machines have a dedicated server to prepare them for an operation. In other words, several machines share a common server. The considered performance measure is makespan. This problem is proved to be strongly NP-Hard. To deal with the problem, two genetic algorithms are developed. In order to evaluate the performance of the developed frameworks, a large number of benchmark problems are selected and solved with different server limitation scenarios. Computational results confirm that both of the proposed algorithms are efficient and competitive. The developed algorithms are able to improve many of the best-known solutions of the test problems from the literature. Moreover, the effect of the server side-constraints on the makespan of the test problems is explained using the computational results.     

Scheduling to maximise worker satisfaction and on-time orders

Two important managerial objectives incorporated in production planning are the maximisation of the on-time delivery of orders and worker satisfaction. While the maximisation of on-time deliveries has frequently been considered in past production planning research, the component of maximising worker satisfaction has typically been ignored. The assignment of workers to their preferred jobs is an important factor since it results in a productive working environment with high worker performance and a low turnover rate. This study presents a job scheduling model that considers both criteria simultaneously and derives solution approaches to generate non-dominated solutions. The solution approaches are examined under various experimental conditions to evaluate their performance. Finally, a prototype tool developed as a proof of concept is presented.     

Minimising general setup costs in a two-stage production system

This paper addresses a problem arising in the coordination between two consecutive stages of a production system. Production is organised in batches of identical jobs. Each job is characterised by two distinct attributes, and all jobs sharing the same attributes are processed together as a single batch. Due to the structural and organisational characteristics of the production system, the two stages have to process the same batch sequence. When two consecutive batches with different attributes are processed, at least one stage must pay a setup, in order to reconfigure its own devices. Each stage incurs a setup cost that is a general non-decreasing function of the number of its own setups, and the problem consists of finding a batch sequence minimising the total setup costs of the production system. We present an original solution approach for the considered problem that is shown to be very effective using an extensive experimental campaign.