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Georgia Institute Of Technology - ISYE 6644 / ISYE6644 Week 12 Homework Simulation
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(Lesson 8.1: Introduction to Input Modeling.) It's GIGO time! Let's consider an queueing system with Exp( ) interarrivals and Exp( ) FIFO services at a single server. You may recall from some class ... (either this one or stochastic processes) that the steady-state expected cycle time (i.e., the time that the customer is in the system, including wait + service) is . If you were to try this out in Arena, let's say with interarrivals and services (note the notation change between my usual "Exp" and Arena's ), then we'd get . Go ahead, see for yourself in Arena, but make sure that you run the system for 100,000 or so customers so that you can be sure that you're in steady-state! Finally, here's the GIGO question, which will show what can happen when you mis-model a component of your process: What is the (approximate) steady-state expected cycle time if you have i.i.d. interarrivals instead of interarrivals? Note that both interarrival distributions have the same mean (10), but that doesn't 4/15/2020 Week 12 Homework: Simulation - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/106512/quizzes/96335?module_item_id=530704 2/14 necessarily imply that they'll have the same expected cycle times. Hint: You may want to use Arena as described above. a. about 1 ou Answered b. about 10 c. about 23 orrect Answer d. about 40 e. about 62 (c). The case has waaaay smaller tails than the , so it's reasonable to assume that the cycle times will tend to be lower for the case. In fact, after 100,000 customers in Arena, I got an average time of 23.5. Thus, (c) is the right answer. Ques 1 / 1 pts tion 2 (Lesson 8.2: Identifying Distributions.) Let's play Name That Distribution! The number of times a "3" comes up in 10 dice tosses. a. Bernoulli b. Binomial Correct! c. Geometric d. Negative Binomial e. Pareto 4/15/2020 Week 12 Homework: Simulation - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/106512/quizzes/96335?module_item_id=530704 3/14 (b). Ques 1 / 1 pts tion 3 (Lesson 8.2: Identifying Distributions.) Name That Distribution! The number of dice tosses until a 3 comes up. a. Bernoulli b. Binomial c. Geometric Correct! d. Negative Binomial e. Pareto (c). Q 0 / 1 pts uestion 4 (Lesson 8.2: Identifying Distributions.) Name That Distribution! The number of dice tosses until a 3 comes up for the 4th time. a. Bernoulli b. Binomial ou Answered 4/15/2020 Week 12 Homework: Simulation - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/106512/quizzes/96335?module_item_id=530704 4/14 c. Geometric d. Negative Binomial orrect Answer e. Pareto (d). Q 1 / 1 pts uestion 5 (Lesson 8.2: Identi [Show More]
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