多自由度系统及结构非线性自由振动的摄动谐波平衡法

本文在谐波平衡法的基础上,引入摄动的思想,得出了解多自由度系统及结构的非线性自由振动的新方法。其解的形式为小参数和谐波的级数形式,因此,其解不会遗漏任何项,方程为线性的代数方程;利用线性变换,将系数矩阵变换为对角阵,一旦求出线性模态,就可得其解,比线性化迭代法优越得多。算例表明,本文方法对于小振幅有较高的精度,对于较大振幅其结果也是令人满意的。     

高可靠、强实时分布式系统的切换技术研究

本文首先给出某高可靠、强实时分布式系统及系统的两种切换方案的简要描述，然后对切换技术的实现进行讨论；最后，在建立强实时双工系统的可靠性模型基础上，对系统的两种切换方案进行分析与比较。研究结果表明：对于本系统，机组级切换优于结点机级切换，且可以减少程序的复杂度，提高系统的可靠性与实时性。     

Energy‐efficient scheduling for sustainable manufacturing systems with renewable energy resources

Environmentally friendly energy resources open a new opportunity to tackle the problem of energy security and climate change arising from wide use of fossil fuels. This paper focuses on optimizing the allocation of the energy generated by the renewable energy system to minimize the total electricity cost for sustainable manufacturing systems under time‐of‐use tariff by clipping the peak demand. A rolling horizon approach is adopted to handle the uncertainty caused by the weather change. A nonlinear mathematical programming model is established for each decision epoch based on the predicted energy generation and the probability distribution of power demand in the manufacturing plant. The objective function of the model is shown to be convex, Lipchitz‐continuous, and subdifferentiable. A generalized benders decomposition method based on the primal‐dual subgradient descent algorithm is proposed to solve the model. A series of numerical experiments is conducted to show the effectiveness of the solution approach and the significant benefits of using the renewable energy resources.     

Optimal allocation of minimal repairs in parallel and series systems

In reliability engineering, the concept of minimal repair describes that the repair brings the failed unit (eg, system or component) to the situation which is same as it was just before the failure. With the help of the well‐known Gamma‐Poisson relationship, this paper investigates optimal allocation strategies of minimal repairs for parallel and series systems through implementing stochastic comparisons of various allocation policies in terms of the hazard rate, the reversed hazard rate, and the likelihood ratio orderings. Numerical examples are presented to illustrate these findings as well. These results not only strengthen and generalize some known ones in the seminal work of Shaked and Shanthikumar, but also solve the open problems proposed by Chahkandi et al.'s study and Arriaza et al.'s study.     

Optimal control policies for an inventory system with commitment lead time

We consider a firm which faces a Poisson customer demand and uses a base‐stock policy to replenish its inventories from an outside supplier with a fixed lead time. The firm can use a preorder strategy which allows the customers to place their orders before their actual need. The time from a customer's order until the date a product is actually needed is called commitment lead time. The firm pays a commitment cost which is strictly increasing and convex in the length of the commitment lead time. For such a system, we prove the optimality of bang‐bang and all‐or‐nothing policies for the commitment lead time and the base‐stock policy, respectively. We study the case where the commitment cost is linear in the length of the commitment lead time in detail. We show that there exists a unit commitment cost threshold which dictates the optimality of either a buy‐to‐order (BTO) or a buy‐to‐stock strategy. The unit commitment cost threshold is increasing in the unit holding and backordering costs and decreasing in the mean lead time demand. We determine the conditions on the unit commitment cost for profitability of the BTO strategy and study the case with a compound Poisson customer demand.     

Single‐machine scheduling with deadlines to minimize the total weighted late work

We consider scheduling a set of jobs with deadlines to minimize the total weighted late work on a single machine, where the late work of a job is the amount of processing of the job that is scheduled after its due date and before its deadline. This is the first study on scheduling with the late work criterion under the deadline restriction. In this paper, we show that (i) the problem is unary NP‐hard even if all the jobs have a unit weight, (ii) the problem is binary NP‐hard and admits a pseudo‐polynomial‐time algorithm and a fully polynomial‐time approximation scheme if all the jobs have a common due date, and (iii) some special cases of the problem are polynomially solvable.     

Oligopolistic contracting: Channel coordination under competition

We study contracts between a single retailer and multiple suppliers of two substitutable products, where suppliers have fixed capacities and present the retailer cost contracts for their supplies. After observing the contracts, the retailer decides how much capacity to purchase from each supplier, to maximize profits from the purchased capacity from the suppliers plus his possessed inventory (endowment). This is modeled as a noncooperative, nonzero‐sum game, where suppliers, or principals, move simultaneously as leaders and the retailer, the common agent, is the sole follower. We are interested in the form of the contracts in equilibrium, their effect on the total supply chain profit, and how the profit is split between the suppliers and the retailer. Under mild assumptions, we characterize the set of all equilibrium contracts and discuss all‐unit and marginal‐unit quantity discounts as special cases. We also show that the supply chain is coordinated in equilibrium with a unique profit split between the retailer and the suppliers. Each supplier's profit is equal to the marginal contribution of her capacity to supply chain profits in equilibrium. The retailer's profit is equal to the total revenue collected from the market minus the payments to the suppliers and the associated sales costs.     

线性系统的鲁棒容错控制设计方法

考虑了线性故障系统的鲁棒容错控制问题。利用状态反馈特征结构配置参数化结果,提出了一种鲁棒容错控制设计方法。该方法将故障系统的鲁棒容错控制问题转化为含有约束的最小化问题。数值算例及其仿真结果验证了所设计方法的简单性和有效性。     

对我国农村环境污染防治对策的系统分析

分析了现阶段我国农村环境污染的主要特点,并对农村环境污染防治的宏观对策进行了系统性分析。由手农村污染严重、防治形势严峻且比城市环境污染情况复杂,在制定农村环境污染防治对策时,需要运用系统工程原理全方位、全过程分析实际情况,制定整体效果最优的系统化对策组合,并注意对策措施的系统性、协调性、连续性和针对性。     

一种面向Agent的概念化建模方法*

面向Agent的建模方法为基于Agent系统的概念化描述提供了一种新的技术.针对多Agent系统分析与建模问题,扩展并规范了面向Agent概念化建模过程,定义了Agent模型及其扩展模型,并给出了形式化描述.同时,给出面向Agent的分析和设计过程,为其具体建模提供了一种高层指导.最后,与其它现有面向Agent的方法在应用方面进行了类比分析,为该方法的广泛和深入地应用研究打下基础.