A Single-Server Waiting Line System Has an Arrival Pattern Characterized

question 82

Multiple Choice

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.
-A system has 5 servers. Customers arrive at a rate of 6 per hour and service time is 20 minutes. What is the system utilization?

• A) .83
• B) .40
• C) .50
• D) 20

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Definitions:

Present Value

Present value is the current value of a future sum of money or stream of cash flows given a specified rate of return, reflecting the time value of money.

Future Value

The value of an investment or cash flow at a specified future date, calculated by applying expected rates of return or interest rates.

Market Rate

The prevailing price or interest rate at which goods, services, or securities are bought and sold in a competitive marketplace.

Per-Capita Consumption

The average consumption of goods or services per person within a specific population or area.