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.)

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?

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

whole quiz

1. the sum of all activities involved in getting high-quality products into the marketplace

2.operations

3. the principle of looking at the supply chain as a whole in order to improve the overall flow through the system.

4. produced; performed

5. activities producing tangible products, such as radios, newspapers, buses, and textbooks.

6. activities producing intangible and tangible products, such as entertainment, transportation, and education.

7.   customer focus

8. analyzing a competitor's products to identify desirable improvements

9. the systematic direction and control of the processes that transform resources into finished projects that create value for and provide benefits to consumers.

10. operation management.

your welcome leave a rate and a < 3

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