Software Defined Networking Applications in Distributed Datacenters by Heng Qi & Keqiu Li

Author:Heng Qi & Keqiu Li
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

2.2.2 Request-Allocation Algorithm

The first-order optimality conditions of Eq. 2.11 can be written as

(2.16)

(2.17)

(2.18)

(2.19)

where α = (α 1, α 2, …, α M ) T corresponds to the Lagrange multiplier for the constraint in Eq. 2.12. Similarly, β = (β 1, 1, …, β 1, N , …, β K, 1, …, β K, N ), is a (KN × 1) matrix that denotes the Lagrange multiplier for the constraint in Eq. 2.13. Directly applying Newton’s method yields

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