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Question: Consider a factory with a two-identical servers where jobs can be run on either of the two servers. All jobs have the mean-arrival rate of λ and the same meanservice rate μ, and both distributions are assumed to be exponential. Assume that there is no limit on the number of jobs allowed in the system. Thus, the system is an M/M/2/∞ queue

(a) Develop the steady-state diagram connecting the states of the system.

(b) Develop the system of equations that the steady-state probabilities must satisfy.

(c) Develop the general probability relationship for pn in terms of p0.

(d) Develop a formula for p0.

Engineering Mathematics, Engineering

  • Category:- Engineering Mathematics
  • Reference No.:- M92276552

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