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A telephone station, having a single telephone line, operates so that a request (call), which comes at a time when the line is busy, is denied. The rate of the flow of arriving requests is λ = 0.8 requests per minute. The serving capability of the station is µ = 0.667. All flows of events are Poisson.
Requested: Evaluate system performance parameters if the number of places in the queue m= 4, number of devices n = 4.


1. Define a type of queuing system that corresponds to real system. Depict the structure of the system
2. Determine and describe the system stats
3. Build a state transition diagram
4. Build the system of balance equations
5. Calculation of steady state probabilities Pi, (i = 1,.., n).
6. Calculation of all performance parameters of system, using expressions given in the file TABLES.

Sagot :

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