In queuing theory, the ratio of the mean arrival rate and the mean service rate is called the-

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RRB JE CBT-2 (Mechanical) Official Paper (Held On: 30 Aug, 2019 Shift 1)
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  1. Work factor 
  2. Slack constant 
  3. Productivity rate
  4. Utilization factor 

Answer (Detailed Solution Below)

Option 4 : Utilization factor 
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Explanation:

  • The ratio of arrival to the service rate indicates the percentage of time sever is busy, it is known as utilization factor, system utilization channel efficiency, and clearing ratio. It indicates the probability that a new customer has to wait.
  • The arrival rate of customer = λ  (Follows poisons distribution)
  • Service rate  = μ  (Follows exponential distribution)
  • If the ratio of  mean arrival to mean service rate is increased
  • λ > μ
  • The customer arrival rate is more than the service rate, hence the customer moves slower in the system and the queue length will keep on increasing and after a certain time, the incoming population will not get service.
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