后勤物资消耗测算系统设计需求分析

针对当前后勤物资消耗测算方法过于简单粗略的问题,以构建有效的后勤物资消耗测算系统为目的,对系统的设计进行了需求分析。介绍了后勤物资消耗测算的基本流程以及关键理论,研究了后勤物资消耗测算系统的用户特点以及应用流程,着重对系统的功能需求进行了分析,确定了系统各主要功能的相关内容,并按照功能需求确定了系统的组成结构和接口关系,为系统的设计和实现奠定了基础。     

Single batch machine scheduling with deliveries

We consider the problem of scheduling a set of n jobs on a single batch machine, where several jobs can be processed simultaneously. Each job j has a processing time p_j and a size s_j. All jobs are available for processing at time 0. The batch machine has a capacity D. Several jobs can be batched together and processed simultaneously, provided that the total size of the jobs in the batch does not exceed D. The processing time of a batch is the largest processing time among all jobs in the batch. There is a single vehicle available for delivery of the finished products to the customer, and the vehicle has capacity K. We assume that K = rD, where and r is an integer. The travel time of the vehicle is T; that is, T is the time from the manufacturer to the customer. Our goal is to find a schedule of the jobs and a delivery plan so that the service span is minimized, where the service span is the time that the last job is delivered to the customer. We show that if the jobs have identical sizes, then we can find a schedule and delivery plan in time such that the service span is minimum. If the jobs have identical processing times, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most 11/9 times the optimal service span. When the jobs have arbitrary processing times and arbitrary sizes, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most twice the optimal service span. We also derive upper bounds of the absolute worst‐case ratios in both cases. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 470–482, 2015     

A sequential scheduling problem with impatient jobs

There are n customers that need to be served. Customer i will only wait in queue for an exponentially distributed time with rate λ_i before departing the system. The service time of customer i has distribution F_i, and on completion of service of customer i a positive reward r_i is earned. There is a single server and the problem is to choose, after each service completion, which currently in queue customer to serve next so as to maximize the expected total return. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 659–663, 2015     

基于WBS的装备作战需求联合论证任务流程设计方法

针对装备作战需求联合论证中任务分解与协同困难的问题,以构建融合业务活动与管理活动的集成论证活动为目标,提出了基于WBS的装备作战需求论证活动分解方法,分析了装备作战需求论证活动分解的原理、原则和活动表示方法,研究了业务活动与管理活动的WBS分解过程,研究了业务活动与管理活动的集成方法和协同分析方法,初步构建了基于WBS的装备作战需求联合论证任务流程模型,为进一步优化和调整装备作战需求论证流程、提高论证工作效率和成果质量提供了新的方法。     

Single machine just‐in‐time scheduling problems with two competing agents

In scheduling problems with two competing agents, each one of the agents has his own set of jobs to be processed and his own objective function, and both share a common processor. In the single‐machine problem studied in this article, the goal is to find a joint schedule that minimizes the total deviation of the job completion times of the first agent from a common due‐date, subject to an upper bound on the maximum deviation of job completion times of the second agent. The problem is shown to be NP‐hard even for a nonrestrictive due‐date, and a pseudopolynomial dynamic program is introduced and tested numerically. For the case of a restrictive due‐date (a sufficiently small due‐date that may restrict the number of early jobs), a faster pseudopolynomial dynamic program is presented. We also study the multiagent case, which is proved to be strongly NP‐hard. A simple heuristic for this case is introduced, which is tested numerically against a lower bound, obtained by extending the dynamic programming algorithm. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 61: 1–16, 2014     

基于关键路径和任务复制的多核调度算法

针对目前大多数多核处理器任务分配优化算法没有考虑关键路径上节点对任务完成时间的重要影响,导致任务完成总时间延迟的问题,提出了基于关键路径和任务复制(CPTD)的单任务调度算法。CPTD算法通过复制任务图中fork节点的方式将任务图转化为与之相对应的产品加工树;再在生成的产品加工树中找到关键路径,并采取使关键路径上节点的紧前节点尽早调度的方式,使关键路径上节点尽早开始执行,进而使产品加工树中节点完成时间得以提前,达到缩短任务执行总时间的目的。理论分析表明,CPTD算法能够实现应用程序在多核上充分并行处理,并能缩短任务完成时间。     

一类分段线性费用网络流问题

本文通过把一类分段线性费用网络流问题化成线性费用网络流问题,给出了求解这类分段线性费用网络流问题的算法。     

高超音速化学平衡流粘性激波层数值计算

本文给出了层流化学平衡粘性激波层方程对于细长解析体的数值解。这些求解结果是通过空间步进方法得到的,并且与参考文献里的计算结果作了比较,以估价该方法的精确度。结果表明,这种控制方程完全耦合求解的方法能够给出相当精确和稳定的结果,这些结果与参考文献的计算结果相当吻合。     

Stochastic scheduling subject to machine breakdowns: The preemptive‐repeat model with discounted reward and other criteria

We consider the problem of scheduling a set of jobs on a single machine subject to random breakdowns. We focus on the preemptive‐repeat model, which addresses the situation where, if a machine breaks down during the processing of a job, the work done on the job prior to the breakdown is lost and the job will have to be started from the beginning again when the machine resumes its work. We allow that (i) the uptimes and downtimes of the machine follow general probability distributions, (ii) the breakdown process of the machine depends upon the job being processed, (iii) the processing times of the jobs are random variables following arbitrary distributions, and (iv) after a breakdown, the processing time of a job may either remain a same but unknown amount, or be resampled according to its probability distribution. We first derive the optimal policy for a class of problems under the criterion to maximize the expected discounted reward earned from completing all jobs. The result is then applied to further obtain the optimal policies for other due date‐related criteria. We also discuss a method to compute the moments and probability distributions of job completion times by using their Laplace transforms, which can convert a general stochastic scheduling problem to its deterministic equivalent. The weighted squared flowtime problem and the maintenance checkup and repair problem are analyzed as applications. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Flow shop scheduling with earliness,tardiness, and intermediate inventory holding costs

We consider the problem of scheduling customer orders in a flow shop with the objective of minimizing the sum of tardiness, earliness (finished goods inventory holding), and intermediate (work‐in‐process) inventory holding costs. We formulate this problem as an integer program, and based on approximate solutions to two different, but closely related, Dantzig‐Wolfe reformulations, we develop heuristics to minimize the total cost. We exploit the duality between Dantzig‐Wolfe reformulation and Lagrangian relaxation to enhance our heuristics. This combined approach enables us to develop two different lower bounds on the optimal integer solution, together with intuitive approaches for obtaining near‐optimal feasible integer solutions. To the best of our knowledge, this is the first paper that applies column generation to a scheduling problem with different types of strongly ????‐hard pricing problems which are solved heuristically. The computational study demonstrates that our algorithms have a significant speed advantage over alternate methods, yield good lower bounds, and generate near‐optimal feasible integer solutions for problem instances with many machines and a realistically large number of jobs. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.