Multiple solutions for blocking probabilities in asymmetric networks

被引:0
|
作者
Dinwoodie, IH
Gamundi, E
Mosteig, E
机构
[1] Duke Univ, Dept Geol, Durham, NC 27708 USA
[2] Trinity Univ, Dept Math, Washington, DC 20017 USA
[3] Dept Math, Los Angeles, CA 90045 USA
来源
OPEN SYSTEMS & INFORMATION DYNAMICS | 2005年 / 12卷 / 03期
关键词
D O I
10.1007/s11080-005-0925-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Polynomial systems for blocking probabilities on networks with dynamic routing are formulated. Two parameters in the coefficient field representing link capacity are varied. A region of parameter values is identified on which the system has two solutions with a probabilistic interpretation. The region is bounded by contours of the constant term coefficients in the characteristic polynomials of certain traceform matrices. This generalizes earlier work on multiple blocking probabilities in symmetric networks.
引用
收藏
页码:273 / 288
页数:16
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