Calculating the operating characteristics of single-channel

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Calculating the Operating Characteristics of a Single-Channel, Single-Phase System with the Single-Server Model

The manager of a grocery store in the retirement community of Sunnyville is interested in providing good service to the senior citizens who shop in her store. Currently, the store has a separate checkout counter for senior citizens. On average, 30 senior citizens per hour arrive at the counter, according to a Poisson distribution, and are served at an average rate of 35 customers per hour, with exponential service times. Find the following operating characteristics:

  1. Probability of zero customers in the system
  2. Average utilization of the checkout clerk
  3. Average number of customers in the system
  4. Average number of customers in line
  5. Average time spent in the system
  6. Average waiting time in line

Reference no: EM132701775

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