HIGHER-ORDER LINDLEY EQUATIONS

被引:17
|
作者
KARPELEVICH, FI
KELBERT, MY
SUHOV, YM
机构
[1] RUSSIAN MINIST TRANSPORT COMMUN,MOSCOW INST TRANSPORT ENGINEERS,MOSCOW 107174,RUSSIA
[2] RUSSIAN ACAD SCI,INT INST EARTHQUAKE PREDICT THEORY & MATH GEOPHYS,MOSCOW 113556,RUSSIA
[3] UNIV COLL SWANSEA,SCH EUROPEAN BUSINESS MANAGEMENT,SWANSEA SA2 8PP,W GLAM,WALES
[4] RUSSIAN ACAD SCI,INST PROBLEMS INFORMAT TRANSMISS,MOSCOW 101447,RUSSIA
关键词
QUEUING NETWORKS; HIGHER-ORDER LINDLEY EQUATIONS; STATIONARY SOLUTIONS;
D O I
10.1016/0304-4149(94)90058-2
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A model of a queueing network is proposed which leads to a stochastic equation generalizing a standard Lindley equation for a single FCFS server. We study the problem of the existence and uniqueness of a stationary solution to this equation and its connection with random processes on a Cayley tree.
引用
收藏
页码:65 / 96
页数:32
相关论文
共 50 条
  • [1] Higher-order Lagrangian equations of higher-order motive mechanical system
    Zhao Hong-Xia
    Ma Shan-Jun
    Shi Yong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (02) : 479 - 481
  • [2] Higher-Order Lagrangian Equations of Higher-Order Motive Mechanical System
    ZHAO Hong-Xia MA Shan-Jun SHI Yong College of Physics and Communication Electronics
    Communications in Theoretical Physics, 2008, 49 (02) : 479 - 481
  • [3] Higher-order lazy narrowing calculus: A solver for higher-order equations
    Ida, T
    Marin, M
    Suzuki, T
    COMPUTER AIDED SYSTEMS THEORY - EUROCAST 2001, 2001, 2178 : 479 - 493
  • [4] HIGHER-ORDER DIFFERENTIAL-EQUATIONS AND HIGHER-ORDER LAGRANGIAN MECHANICS
    CRAMPIN, M
    SARLET, W
    CANTRIJN, F
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 99 : 565 - 587
  • [5] HIGHER-ORDER EQUATIONS AND CONSTITUENT FIELDS
    BARCI, DG
    BOLLINI, CG
    OXMAN, LE
    ROCCA, M
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1994, 9 (23): : 4169 - 4183
  • [6] HIGHER-ORDER GUIDING CENTER EQUATIONS
    WILSON, GE
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1968, 13 (02): : 311 - &
  • [7] Continua of cycles of higher-order equations
    Krasnosel'skii, M
    Rachinskii, DI
    DIFFERENTIAL EQUATIONS, 2003, 39 (12) : 1690 - 1702
  • [8] Oscillation of higher-order difference equations
    Agarwal, RP
    Grace, SR
    APPLIED MATHEMATICS LETTERS, 2000, 13 (01) : 81 - 88
  • [9] On the fractional counterpart of the higher-order equations
    D'Ovidio, Mirko
    STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) : 1929 - 1939
  • [10] Continua of Cycles of Higher-Order Equations
    A. M. Krasnosel'skii
    D. I. Rachinskii
    Differential Equations, 2003, 39 : 1690 - 1702