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Krajewski SN Supplement B

# Krajewski SN Supplement B - be simulated Minutes Random...

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Supplement B Simulation A. Reasons for Using Simulation 1. 2. 3. 4. B. The Simulation Process This process is known as Monte Carlo simulation , after the European gambling capital, because of the random numbers used to generate the simulation events . 1. Data collection for Example B.1 Specialty Steel Products 2. Random-number assignment a. Random number defined b. Random number assignment for Specialty Steel Products SN:B-1

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SN:B-2 Supplement B Simulation 3. Model formulation a. Decision variables b. Uncontrollable variables c. Relationships among variables. Example B.2, Specialty Steel Products continued d. Application B.1: Monte Carlo Simulation Car Arrival Distribution (time between arrivals) Famous Chamois is an automated car wash that advertises that your car can be finished in just 15 minutes. The time until the next car arrival is described by the following distribution. Minutes Probability Minutes Probability 1 0.01 8 0.12 2 0.03 9 0.10 3 0.06 10 0.07 4 0.09 11 0.05 5 0.12 12 0.04 6 0.14 13 0.03 7 0.14 1.00 Random Number Assignment Assign a range of random numbers to each event so that the demand pattern can

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Unformatted text preview: be simulated. Minutes Random Numbers Minutes Random Numbers 1 00–00 8 2 01–03 9 3 04–09 10 4 10–18 11 5 19–30 12 6 31–44 13 7 45–58 Supplement B Simulation SN:B-3 Simulation of Famous Chamois Operation Simulate the operation for 3 hours, using the following random numbers, assuming that the service time is constant at 6, (:06), minutes per car. Random Number Time to Arrival Arrival Time Number in Drive Service Begins Departure Time Minutes in System 50 7 0:07 0:07 0:13 6 63 8 0:15 0:15 0:21 6 95 12 0:27 49 68 11 40 93 61 48 82 09 08 72 98 41 39 67 11 11 00 07 66 00 29 4. Analysis C. Computer Simulation 1. Simulation with Excel spreadsheets SN:B-4 Supplement B Simulation a. Generating random numbers b. Random number assignment c. Simulation model for Example B.3 , BestCar 2. Simulation with SimQuick, Passenger Security process a. Flowchart b. Entering data c. Simulation results...
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