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IE 3810 Probabilistic Operations Research, Exam #2 8. (2 points) A Poisson Proce

ID: 2909626 • Letter: I

Question

IE 3810 Probabilistic Operations Research, Exam #2 8. (2 points) A Poisson Process should have _ each blank is one word and were increments. Note that 9. (2 points) A food establishment has advertised that they are able to bring your meal to the table within 15 minutes of you ordering it, or the meal is free. Assuming that the time it takes to bring an order is exponentially distributed, what is the minimum mean time it should take them to bring orders to ensure that the restaurant does not give more than 5 percent of the meals for free? a) There is not enough information given to solve this problem b) 15 minutes c) 10 minutes d) 7.5 minutes e) 5 minutes f 2.5 minutes 8) 1 minute 10. (2 points) Suppose there are 2 servers taking orders at a fast food restaurant, the service time follows an Erlang distribution, and the arrival of customers follows a Poisson process Using Kendall's notation, what type of queue is this? a) M/M/2 b) G/M/2 c) M/G/2 d) M/M/1 e) G/M/1 f) M/G/1

Explanation / Answer

8)th ans

Poisson process should have stationary and independent increments.