Some Comments On Highly Dynamic Network Routing
Some Comments On Highly Dynamic Network Routing
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ForO< a, . < 1, 2«, = 1 Define di = a, /, - and compute the partial derivatives which will be needed in finding minima of W . for J = 1, ... , « — 1 and aa, (M-, - - oCiXf dd„ \^nL da, (l^n - "nM' by taking a„ = 1 - aj — ... — a„_i, so that the critical points of W as a function of ttj, ... , a„ _ 1 occur when = i. E. When dW M-, -/, - M-n In aaj ~ (tJL, - a, -\)2 {^„ - a„X)2 \^ili 2 (jjL. - - a. X)2 -8- for some t independent of i, i = 1, ... , n . We will solve these equations for a, -, but first note that iLi - a, \ = e, (ii'ili) with €, • = ±1. The negative value of e, - is "unphysical", since that would require an overload of the first queue on path / by the distributed traffic. Thus we accept only the positive roots and obtain 1 "'= X M-, (y^iii) 1 2^ We can solve for t by i = S«/ = x2m-. - - -^^ii^ih) T = so that a. - = — \^i - (Sm-; - M (M-//, ) 2(M-, /, ) While all the resulting values of a, - are certainly critical points of W, they may not be valid minima.
What to read after Some Comments On Highly Dynamic Network Routing?
You can find similar books in the "Read Also" column, or choose other free books by Herbert J Bernstein to read online
To quickly assess the difficulty of the text, read a short excerpt:
ForO< a, . < 1, 2«, = 1 Define di = a, /, - and compute the partial derivatives which will be needed in finding minima of W . for J = 1, ... , « — 1 and aa, (M-, - - oCiXf dd„ \^nL da, (l^n - "nM' by taking a„ = 1 - aj — ... — a„_i, so that the critical points of W as a function of ttj, ... , a„ _ 1 occur when = i. E. When dW M-, -/, - M-n In aaj ~ (tJL, - a, -\)2 {^„ - a„X)2 \^ili 2 (jjL. - - a. X)2 -8- for some t independent of i, i = 1, ... , n . We will solve these equations for a, -, but first note that iLi - a, \ = e, (ii'ili) with €, • = ±1. The negative value of e, - is "unphysical", since that would require an overload of the first queue on path / by the distributed traffic. Thus we accept only the positive roots and obtain 1 "'= X M-, (y^iii) 1 2^ We can solve for t by i = S«/ = x2m-. - - -^^ii^ih) T = so that a. - = — \^i - (Sm-; - M (M-//, ) 2(M-, /, ) While all the resulting values of a, - are certainly critical points of W, they may not be valid minima.
What to read after Some Comments On Highly Dynamic Network Routing?
You can find similar books in the "Read Also" column, or choose other free books by Herbert J Bernstein to read online
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