A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and...
|
A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 61 per hour, and this rate is Poisson-distributed. |
| a. |
Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) |
| Average number of customer |
| b. |
Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
| Average time | minutes |
| c. |
Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
| Average number | customers |
Homework Answers
| arrivals/time period = | λ= | 1.016667 | /minute | ||
| served/time period= | μ= | 2.00 | /minute | ||
a)
| average number of customers in queue Lq = | λ2/(μ(μ-λ))= | 0.53 | |||||
b)
| average time spend in system W = | 1/(μ-λ)= | 1.02 | |||||
c)
| average number of customers in system L = | λ/(μ-λ)= | 1.03 | |||||
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