Capacity allocation for fast path restoration

Multiplex communications – Pathfinding or routing – Switching a message which includes an address header

Reexamination Certificate

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C370S230000, C370S231000, C370S232000, C370S235000, C370S238000, C370S395210, C709S223000, C709S226000, C709S229000, C709S241000, C709S239000

Reexamination Certificate

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10357559

ABSTRACT:
Capacity design of an optical network for demands of fast path restorable (FPR) connections forms a linear programming sizing problem for a optimal routing. A dual of the linear programming sizing problem is formed and solved with an approximation algorithm. Edge lengths are initialized based on i) the inverse of the edge's capacity and ii) a scalar constant. Then, the approximation algorithm proceeds in phases to route each commodity over the edges of a graph. During each phase, the demand's flow is sent from the source to destination via multiple iterations. During each iteration, the set of shortest disjoint paths from the source to the destination is determined, a portion of the flow is sent, and the lengths of the edges that carry the flow are updated. The value employed to scale the network is generated after the last phase from the maximum ratio of edge flow to edge capacity.

REFERENCES:
patent: 6498778 (2002-12-01), Cwilich et al.
patent: 6909700 (2005-06-01), Benmohamed et al.
patent: 7145867 (2006-12-01), Aicklen et al.
“Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems” by Naveen Garg and Jochen Kömann, pp. 1-10.
“A Simple Efficient Approximation Scheme for the Restricted Shortest Path Problem” by Dean H. Lorenz and Danny Raz, pp. 1-10.

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