考虑蓄意攻击的第三方物流多周期可靠性网络设计

研究多周期环境下的第三方物流(3PL) 可靠性网络设计问题, 并考虑蓄意攻击中断. 建立多层的3PL 可靠性网络设计模型. 网络优化模型在满足可靠性约束条件下优化各周期的网络结构, 包括物流设施的开设和运输量的确定, 使网络总成本最小. 蓄意攻击模型优化各周期的攻击策略使网络服务水平最低. 根据问题模型的特点, 设计改进的两层分布估计算法, 上层分布估计算法求解多周期3PL 网络设计模型, 下层分布估计算法求解多周期攻击模型. 最后, 通过仿真实验表明了模型的合理性和算法的有效性.

     

A Two-Phase BMAP|G|1|N → PH|1|M – 1 System with Blocking

The stationary probability distribution of a two-phase queueing system with a finite or an infinite buffer for the first phase and a finite buffer for the second phase is derived. The input flow of the system is a batch Markov arrival process. Both phases have single-servers. The service time distribution is arbitrary for the first phase and of phase-type for the second phase. If the buffer of the second phase is full at the instant of completion of service at the first phase, the first server is blocked until the buffer is freed.     

On generalized |A|k-summability factors

The paper deals with absolute summability factors for infinite series. The main result obtained in this paper generalizes a recent paper of Rhoades and Savas [B. Rhoades, E. Savas, A summability factor theorem for generalized absolute summability, Real Anal. Exchange 31 (2) (2005–2006) 355–363].     

Control of M|M|1|N queue parameters under constraints

An optimal control of the MM1N queue is considered on the basis of the minimum criterion for the expected service time if constraints on the average number of rejected demands and average energy expenditure are present. Two variants of an input flow are studied: with the separation of demands according to priorities and without such a separation. A dual optimization method and a Lagrange multiplier rule are used to synthesize a constrained optimal control. Two iteration procedures, the effectiveness of which is analyzed on the basis of the numerical simulation results, are presented in order to solve numerically a dual problem.     

Priority-service discipline in anM N |G N |1|1 system

Formulas are obtained that represent the stationary probabilities of states of a single-channel queueing system with one waiting space and one priority repeat-identical discipline to serve interrupted requests. Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 181–184, September–October, 1999.     

具有x|x|非线性的蔡氏电路

研究以x｜x｜非线性函数取代折线非线性v_i特性后的蔡氏电路. 重点讨论非线性函数x｜x｜对于产生混沌振荡的作用, 并用Shil’nikov方法给予严格的证明. 用计算机模拟对电路中发生的分岔过程进行了分析, 并对在实验室实现这种非线性函数的实际蔡氏电路设计作了描述.     

A Queueing System MN |GN |1|1 with Loss of Interrupted Requests

Formulas of stationary probabilities of states are obtained for a queueing system with one waiting space and Poisson flows of arrived requests of different types. It is assumed that the request being serviced can be interrupted by an arrived request. Such an interruption is realized with probability depending on the types of these two requests.     

The MAP|GN|1|1 Queueing System with Two Special Service Disciplines

Single-server queueing systems with Markov flow of customers, one waiting place, and preemptive-resume service and LCFS discipline for customers differing in behavior after interruption are studied. Stationary state probabilities of these systems are determined.     

Optimal priorities in GI|Gn|1 queue

A polynomial-time algorithm based on reduction to a polyhedron minimization problem is proposed for minimizing a given function F(W₁,...,W_n) that depends on the mean waiting times in the Gl|G_n|l queue.Translated from Kibernetika, No. 2, pp. 80–85, March–April, 1991.     

Factors for |A|k summability of infinite series

In this paper we generalize Bor’s result by using the correct definition of absolute summability.     

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