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M/M/1: Derivation of L, W, Wg, and Lg ∑mP=∑mp"(-p)=(-p)∑np”=(1-p)p∑mp =(1-p)p O(2 =(-p)p 1-p)2)(1-p)1 L元 W λ-2 W=W q uu(u .L=nW=2. (4-1)(-x)M/M/1: Derivation of L, W, Wq , and Lq m l l m l m l r r r r r r r r r r r r r r r r r r r r - = - = - =÷ ÷ ø ö ç ç è æ - = - ÷ ÷ ø ö ç ç è æ - ÷ = - ø ö ç è æ = - · = = - = - = - å å å å å ¥ = ¥ = - ¥ = ¥ = ¥ = (1 ) (1 ) 1 1 (1 ) 1 1 (1 ) (1 ) (1 ) (1 ) (1 ) 2 0 1 1 0 0 0 d d d d L nP n n n n n n n n n n n n n m l l m l l l - × = - · = = L 1 1 W ( ) 1 1 1 m m l l m m l m - - = - · W = W - = q ( ) ( ) 2 m m l l m m l l l l - = - · = = × L q W q
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