Simulation. Chapter 14 week 3 Homework. Problems 1a& b, 2, 3, 5 and 6a

| February 12, 2015

Q. 1.Me: The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5 or 6 hours according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week: Time between Emergency calls(hr) 1, 2, 3, 4, 5, 6 Probability: .05,.10,.30, .30, .20, .05

a) simulate the emergency calls for 3 days ( note that this will require a “running”, or cumulative, hourly clock), using the random number table. b) Compare the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the results different?

Q.2. The time between arrivals of cars at the Petroco Service station is defined by the following probability distribution:

TIME BETWEEN ARRIVALS( min) PROBABILITY: 1 .15 2 .30 3 .40 4 .15

a) Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between arrivals. b) simulate the arrival of the cars for 1 hour using a different stream of numbers from those used in (a) and compute the average time between arrivals. c) Compare the results obtained in (a) and (b).

Q.5 Simulate the decision situation described in problem 16(a) at the end of chapter 12 for 20 weeks and recommend the best decision.

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