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Farhad Assadian 《Journal of The Franklin Institute》2002,339(3):347-360
The performance enhancement of dynamic systems is accomplished by the application of active control components. Control strategies are derived to accomplish the task. Among the various control strategies, those that are designed to minimize a specified cost function while satisfying the necessary system constraints are referred to as optimal controllers. An important constraint is the amount of power and energy consumed by the control device. In this paper, the effect of optimal control strategies on the power and energy requirement of control devices is investigated. 相似文献
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《Journal of The Franklin Institute》2023,360(7):4695-4718
In the digital age, rumor spreading is becoming more widespread and faster than ever before, and results in the more social panic and instability. Because of this, it is crucial to implement effective control strategies to prevent the continued spread of rumors, and avoid all kinds of unnecessary harm caused by rumors. In this paper, a stochastic rumor spreading model incorporating time delay within the framework of the event-triggered impulsive control (ETIC) strategies are presented. To begin with, the stability problem of this model is discussed and proved. Besides, the optimal ETIC strategies are explored by the particle swarm optimization (PSO) algorithm. Furthermore, some numerical simulations are performed to illustrate the optimal ETIC strategies of the given model. In addition, a real case is used to prove the validity of given model. Finally, the following conclusions are drawn that the stochastic model is feasible and consistent with actual rumor propagation trends, and ETIC strategies can help control rumors effectively. Meanwhile, different ETIC strategies should be used according to the different situations of rumor spreading. For instance, control strategies need to be more frequent and robust when transmission rates are higher or time delay are shorter. 相似文献
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In this paper, we investigate the optimal denial-of-service attack scheduling problems in a multi-sensor case over interference channels. Multiple attackers aim to degrade the performance of remote state estimation under attackers’ energy constraints. The attack decision of one attacker may be affected by the others while all attackers find their own optimal strategies to degrade estimation performance. Consequently, the Markov decision process and Markov cooperative game in two different information scenarios are formulated to study the optimal attack strategies for multiple attackers. Because of the complex computations of the high-dimensional Markov decision process (Markov cooperative game) as well as the limited information for attackers, we propose a value iteration adaptive dynamic programming method to approximate the optimal solution. Moreover, the structural properties of the optimal solution are analyzed. In the Markov cooperative game, the optimal joint attack strategy which admits a Nash equilibrium is studied. Several numerical simulations are provided to illustrate the feasibility and effectiveness of the main results. 相似文献
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运用演化博弈方法,建立政府引导产学研协同创新和风险投资引导产学研协同创新2个模型,研究这两种模式下产学研协同创新的演化稳定策略。分析结果表明,在两种引导模式下,协同创新的演化稳定策略均有2个:产方和学研方都选择积极合作策略,产方和学研方都选择消极合作策略。在政府引导模式下,当奖励和罚金相等时达到最优;在风险投资引导下,当收益分配调整系数为0且风险投资分得的收益与投入的金额相等时达到最优。对比2种引导模式达到最优时的情况可知,当收益倍增系数大于临界值时,风险投资引导更具优势,当其小于临界值时,政府引导更具优势。 相似文献
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供应链中制造商与云服务商合作创新是应对当今激烈市场竞争的必然选择。基于演化博弈的视角,本文分析了影响制造商和云服务商选择信任策略的关键因素。研究表明,增值收益与双方采取信任策略正相关;风险系数、合作成本、投机收益与双方采取信任策略负相关;存在一个最优收益分配系数使得双方采取相互信任策略的可能性最大;进一步得到,能力水平越高,其获得的增值收益越多。在此基础上,提出了有效提高双方合作创新信任度的策略建议。 相似文献
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This paper presents an application of online booking data, comprised of big data crawled from a hotel booking website to hotel revenue management. It is important to build a quantitative revenue management method for online hotel booking systems incorporating overbooking strategies, because of increasing numbers of bookings through online booking websites and last-minute cancellations, which cause serious damage to hotel management. We construct a quantitative overbooking model for online booking systems combined with customers’ choice behaviors estimated from the data. Firstly, we present the overbooking model for online booking systems. Secondly, we estimate the choice behaviors of the customers from the online booking data by a discrete choice model. Thirdly, combining the estimated discrete choice model with the theoretical overbooking model, we investigate the expected sales maximization problem where we numerically solve the optimal overbooking level and room charge. Finally, we provide numerical examples of the optimal overbooking strategies and room charges using online booking data of two major luxury hotels in Shinjuku ward, Tokyo. This method, which utilizes online booking data available by crawling from booking websites, helps hotels obtain an optimal room charge and overbooking level maximizing the expected sales. 相似文献
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放松第三市场模型假定条件,引入企业技术许可这一策略性行为,建立一个四阶段的双寡头研发竞赛博弈模型,利用非合作博弈中常用的逆推归纳法,来考察具有不完全议价能力的竞争企业各自的政府在考虑消费者剩余时最优的研发政策。研究结论表明:首先,各国政府对本国消费者剩余的考虑影响其对本国企业研发的补贴率,进而影响竞争企业的研发行为。其次,只有当技术领先企业进行较小程度的非显著创新时,技术许可这一策略性行为才会对政府的研发政策产生影响。最后,在不同的技术许可策略下,双边政府最优的研发政策不同。对许可企业而言,该国对其研发的补贴率在固定费许可下要高于在产量提成许可下的情况。而在一定的技术许可策略下,许可双方企业对议价能力的预期则会明显影响各自政府的研发政策。如在产量提成许可下,对被许可企业而言,该国对其研发的补贴率随着自身议价能力的降低反而增大。 相似文献
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本文依据一类特殊耐用品的使用特性,将该类耐用品分为耐用和易耗两个部分。研究了两阶段情况下存在易耗部件的耐用品垄断厂商的策略问题。结果表明:租赁纯策略是垄断厂商的最优选择;第一阶段的耐用品最优产量受到耐用品耐用度和第一阶段易耗部件耐用度的双重影响,但与第二阶段易耗部件耐用度无关;第二阶段耐用品的最优产量则受到耐用品耐用度、第一阶段易耗部件耐用度和第二阶段易耗部件耐用度的三重影响;第一阶段易耗部件的最优价格随耐用品耐用度的增加先递减后递增,而第二阶段易耗部件的最优价格与耐用品耐用度无关,各阶段易耗部件的最优价格只与同一阶段易耗部件的耐用度负相关。 相似文献
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This paper deal with an optimal control problem for a haptotaxis model of solid tumor invasion by considering the multiple treatments of cancer (a combination of radiotherapy and chemotherapy). Firstly, we obtain the existence and uniqueness of weak solution for the controlled system with spatial dimensions by applying the Leray–Schauder fixed point theorem and developing adapted a priori estimates. Subsequently, the existence of optimal pair are proved by means of the technique of minimizing sequence. Furthermore, we verify the Lipschitz continuity of control-to-state mapping based on some a priori estimates, hence derive the first-order necessary optimality condition and establish the optimality systems. Finally, the ringlike diffusion and aggregation patterns and the dynamics of tumor invasion as well as the optimal control strategies are presented numerically, which demonstrate that the optimal treatment strategies are capable of breaking the pattern formation, and preventing the tumor invading and metastasizing, even eliminating the tumor possibly. The results of this work improved and extended previous results partially. 相似文献
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回收成本结构对需求不确定闭环供应链系统决策的影响分析 总被引：1，自引：1，他引：0
在价格敏感型随机需求的闭环供应链中,分析了集中式决策和三种分散式回收渠道下系统的最优决策,探讨了不同的回收成本结构对系统决策以及回收渠道选择的影响。数值仿真的结果表明:无论在何种回收渠道下,与成本规模不经济的情形相比,规模经济时最优回收率更高,成员从再制造中获益更大。当成本结构规模经济时,零售商回收效率最高;而当成本结构规模不经济时,制造商回收效率最高。提出二部定价契约对分散式供应链进行协调。 相似文献
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Yaning Lin 《Journal of The Franklin Institute》2021,358(10):5262-5280
This paper is concerned with the finite horizon linear quadratic (LQ) Stackelberg game for stochastic systems with Poisson jumps under the open-loop information structure. First, the follower solves a LQ stochastic optimal control problem with Poisson jumps. With the aid of an introduced generalized differential Riccati equation with Poisson jumps (GDREP), the sufficient conditions for the optimization of the follower are put forward. Then, the leader faces an optimal control problem for a forward-backward stochastic differential equation with Poisson jumps (FBSDEP). By introducing new state and costate variables, a sufficient condition for the existence and uniqueness of the open-loop Stackelberg strategies is presented in terms of the solvability of two differential Riccati equations and a convexity condition. In addition, the state feedback representation of the open-loop Stackelberg strategies is obtained via the related differential Riccati equation. Finally, two examples shed light on the effectiveness of the obtained results. 相似文献
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考虑两个竞争企业的研发投资存在非对称溢出效应时的最优研发投资策略问题。运用博弈论构建有无研发投资的模型并求解分析,揭示不同强度的研发投资溢出、吸收能力和研发成功概率等因素对竞争企业研发投资博弈均衡的影响。结果表明：两个企业的研发投资溢出均较弱时,它们都会投资;一方的溢出较弱而另一方的较强时,双方将分别成为唯一的投资方和搭便车者;溢出效应中等时,它们或者都投资,或者都不投资;溢出效应均足够强时,二者都不投资。敏感性分析显示,企业会依据不同水平的产品差异度、吸收能力和研发成功概率调整最优研发投资策略。此外,消费者剩余和社会福利在两个企业都投资时最优,单一企业投资时次之,无研发投资时最差。 相似文献
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动态规划是处理情报信息领域信息获取方式与路径选择,网络信息的传递与交换途径等阶段决策问题的重要方法。本研究介绍一种动态规划方法,给出了Java网络算法软件,该软件可在兼容Java的网络浏览器上运行,可用于计算最优策略和目标泛函的阶段最优和总最优值。同时,用该算法进行了用例分析,以期为有关情报信息研究与应用提供一种在线计算工具。 相似文献
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构建一个两阶段的博弈模型,综合考虑OEM可能采取再制造、回收但不再制造、收取再售特许费这三种阻止策略下,探讨新产品、再制品的最优定价。通过数值仿真分析,发现三种策略均能起到缓解外部竞争的作用。同时探讨不同再制品价值折扣和产品特性下的OEM策略选择。最后分析不同策略对再制造市场和消费者的影响,提出引导OEM策略选择的建议。 相似文献
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Nai-Kuan Tsao 《Journal of The Franklin Institute》1981,311(6):355-381
A systematic study on the problems encountered in the orthogonal factorization of a general band-structured matrix and its updating subject to a rank-one modification of the original matrix is given. A selective set of efficient algorithms is described. A set of strategies suitable for devising an “optimal” algorithm is also presented with some applications. 相似文献