Explain transient and steady state behaviour of queue system
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1.) Transient state of a queuing system is the state whereby the probability of the number of customers in the system depends upon time.
Let Pₓ(t) be the probability that X customers are in the system at time to.
Then if Pₓ(t) depends upon time, the queuing system is said to be transient.
2.) Steady state of a queuing system is the state where the probability of the number of customers in the system is independent of time.
After the questing system becomes operative for sometime the Pₓ(t) may become independent of time and at this point it is known as steady state probabilities.
The transient state comes first whereas the steady state comes with time after the system operates for some time.
Let Pₓ(t) be the probability that X customers are in the system at time to.
Then if Pₓ(t) depends upon time, the queuing system is said to be transient.
2.) Steady state of a queuing system is the state where the probability of the number of customers in the system is independent of time.
After the questing system becomes operative for sometime the Pₓ(t) may become independent of time and at this point it is known as steady state probabilities.
The transient state comes first whereas the steady state comes with time after the system operates for some time.
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