Define flow-in equals flow-out approach

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Question: Consider solving the set of steady-state equations for a system with a limit on the number of jobs allowed (example M/M/1/3). Suppose there are steady state equations derived from the flow-in equals flow-out approach. Show that if only these equations (omitting the norming equation) are used and if they are linearly independent, then the solution for cannot satisfy the conditions for a pmf. This result leads to the conclusion that this set of equations must be dependent and, therefore, the norming equation must be used in place of one of the other equations.

Reference no: EM131467826

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