Ask Question
30 August, 11:53

A waiting line problem has an average of 250 arrivals per eight hour day. Suppose there are several servers, and each has an average service time of 8 minutes. (Assume Poisson arrivals and exponential service times.)

+3
Answers (1)
  1. 30 August, 12:08
    0
    Complete Question

    A waiting line problem has an average of 250 arrivals per eight hour day. Suppose there are several servers, and each has an average service time of 8 minutes. (Assume Poisson arrivals and exponential service times.)

    What is the average service rate of a server per hour?

    Answer:

    7½ arrivals per hour

    Explanation:

    Given

    Arrivals = 250 arrivals per 8 hour day

    Service Time of Servers = 8 minutes

    The service time of Servers is given as 8 minutes.

    This means that; on average, a server will attend to 1 arrival in every 8 minutes.

    Calculating this per hour;

    Average service rate of a server per hour = Service Rate * 1 hour per hour

    Average service rate of a server per hour = 1 arrival per 8 minutes * 1 hour per hour

    (1 hour = 60 minutes);

    So, we have.

    Average service rate of a server per hour = 1/8minutes * 60minutes/hour

    = ⅛ * 60 arrivals/hour

    = 60/8 arrivals/hour

    = 7½ arrivals per hour
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A waiting line problem has an average of 250 arrivals per eight hour day. Suppose there are several servers, and each has an average ...” in 📗 Business if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers