TY - GEN

T1 - On the structural uniqueness of alternate routing schemes in non-hierarchical networks

AU - Kaniyil, Jaidev

AU - Hagiya, Noriaki

AU - Shimamoto, Shigeru

AU - Onozato, Yoshikuni

AU - Noguchi, Shoichi

PY - 1993/1/1

Y1 - 1993/1/1

N2 - Structural relation between load and blocking probability of an alternate routing scheme employed in a fully connected homogeneous non-hierarchical network is already known. In this paper, we inspect the structural aspects of such a scheme when blocked messages make retrial, and when different alternate routing strategies are employed so as to overcome congestion. the model employed for analysis is based on the flow approximation. It is found that retrials push the stable equilibrium state away from the zero blocking state, thereby aggravating congestion. The alternate routing strategies accommodate the stable equilibrium state close to the zero blocking state. However, both the retrials and the alternate routing strategies do not alter the fundamental structure of the system, namely, the fold catastrophe. By solving the degenerate equation, the valve of appropriate control parameters can be obtained. According to the present model, it is only under schemes with no alternate routing that the system attains stability, in the mathematical sense of the term.

AB - Structural relation between load and blocking probability of an alternate routing scheme employed in a fully connected homogeneous non-hierarchical network is already known. In this paper, we inspect the structural aspects of such a scheme when blocked messages make retrial, and when different alternate routing strategies are employed so as to overcome congestion. the model employed for analysis is based on the flow approximation. It is found that retrials push the stable equilibrium state away from the zero blocking state, thereby aggravating congestion. The alternate routing strategies accommodate the stable equilibrium state close to the zero blocking state. However, both the retrials and the alternate routing strategies do not alter the fundamental structure of the system, namely, the fold catastrophe. By solving the degenerate equation, the valve of appropriate control parameters can be obtained. According to the present model, it is only under schemes with no alternate routing that the system attains stability, in the mathematical sense of the term.

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M3 - Conference contribution

AN - SCOPUS:0027208304

SN - 0818635800

T3 - Proceedings - IEEE INFOCOM

SP - 330

EP - 337

BT - Proceedings - IEEE INFOCOM

PB - Publ by IEEE

T2 - Proceedings of the 12th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM '93

Y2 - 30 March 1993 through 1 April 1993

ER -