S-38.149 Postgraduate Course in Teletraffic Theory

Exercises to be handed in 12.10.1998

Kaisa Kyläkoski

1.

Consider the central server system with N = 3, K = 1, p₁ = 1, p₂ = p, p₃ = 1-p and X_i(m) = 1 for i = 1,2,3. Identify its a) states

b) transition rates

and write down its

c) equilibrium equations

Solve the equilibrium equations without using the solution given in eq. 2.3.2.

2.

Consider the case X_i(m)=mX_i. Equation 2.4.4. gives G(K,N) as .

Derive an alternate form suitable for numerical evaluation.