MODELING AND ANALYSIS OF COMMUNICATION-SYSTEMS BASED ON COMPUTATIONAL METHODS FOR MARKOV-CHAINS

被引:31
作者
KRIEGER, UR [1 ]
MULLERCLOSTERMANN, B [1 ]
SCZITTNICK, M [1 ]
机构
[1] UNIV DORTMUND,DEPT COMP SCI,W-4600 DORTMUND 50,GERMANY
关键词
D O I
10.1109/49.62851
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We describe a computational approach for modeling and analyzing modern communication systems based on numerical methods for Markov chains. Advanced direct and iterative procedures for the calculation of the stationary distribution of a homogenous discrete- or continuous-time Markov chain with finite state space are presented. They are implemented in a convenient software tool for interactive modeling and performance evaluation of communication systems. The versatility of these algorithms is illustrated by their application to Markovian queueing models derived from telecommunication networks.
引用
收藏
页码:1630 / 1648
页数:19
相关论文
共 130 条
  • [1] ├a┬cinlar E., 1975, INTRO STOCHASTIC PRO
  • [2] A STABLE METHOD FOR THE LU FACTORIZATION OF M-MATRICES
    AHAC, AA
    OLESKY, DD
    [J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1986, 7 (03): : 368 - 378
  • [3] AKINPELU JM, 1984, BELL SYST TECH J, V63, P1261
  • [4] Ananthakrishnan M., 2012, COMM STAT STOCHASTIC, V11, P1
  • [5] [Anonymous], 1979, REVERSIBILITY STOCHA
  • [6] ASH GR, 1985, 11 P ITC KYOT
  • [7] SEMI-ITERATIVE AND ITERATIVE METHODS FOR SINGULAR M-MATRICES
    BARKER, GP
    YANG, SJ
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1988, 9 (02) : 168 - 180
  • [8] CONVERGENT ITERATIONS FOR COMPUTING STATIONARY DISTRIBUTIONS OF MARKOV-CHAINS
    BARKER, GP
    PLEMMONS, RJ
    [J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1986, 7 (03): : 390 - 398
  • [9] ON THE SMALLEST POSITIVE SINGULAR VALUE OF A SINGULAR M-MATRIX WITH APPLICATIONS TO ERGODIC MARKOV-CHAINS
    BARLOW, JL
    [J]. SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1986, 7 (03): : 414 - 424
  • [10] Berman A, 1979, MATH SCI CLASSICS AP, V9, DOI DOI 10.1137/1.9781611971262