Question

The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer...

The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer that comes to see a game can be sold a ticket at the rate of 8 per minute. For normal games, customers arrive at the rate of 5 per minute. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution. Use the decimal places provided in the output (ie up to 4).

The Flyers are playing in the league playoffs and anticipate more fans, estimating that the arrival rate will increase to 12 per minute.

Explore using a 2-cashier model and a 3 cashier model, the operating characteristics for the future designs.

The rink has space for six customers to wait indoors to buy tickets. What are the corresponding queue lengths for each model?

2-cashier 3-cashier
Queue Length

Homework Answers

Answer #1

Number of Channels

2

3

Arrival Rate

12

12

Service Rate

8

8

Probability of No Units in System

.1429

.2105

Average Waiting Time

.1607

.0197

Average Time in System

.2857

.1447

Average Number Waiting

1.9286

.2368

Average Number in System

3.4286

1.7368

Probability of Waiting

.6429

.2368

Probability of 7 in System

.0381

.0074

The three-cashier system is probably too good and not cost effective.

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