Lab05-1

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Texas A&M University *

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625

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Industrial Engineering

Date

Feb 20, 2024

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docx

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1

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Name: ___________________________ UIN: __________________ Lab 5 Customers arrive at a service center at the rate of 240 per hour (exponentially distributed). There are two service desks located at a distance of 60 meters from the entry door. There is an equal likelihood of a customer choosing any one of the two service desks. It has been observed that the processing time for customer requests at each service desk is spread between 0.1 – 0.3 minutes with a most likely value of 0.2 minutes. About half of the customers require additional service at a separate desk located 60 meters from the two service desks. This desk is staffed by one representative. The additional service time is found to be following a Gamma distribution with a mean of 12 seconds and a variance of 6 second 2 . After completion of service, all customers leave through the exit door that is located 110 meters from the two service desks, and 50 meters from the additional service desk. The manager of the facility is interested in collecting statistics from the system to determine if the facility is meeting their desired level of service. The manager wants to determine the amount of additional time spent in the facility by the customers requiring additional service. The customers move at the rate of 1 meter per second. What is your choice of distribution for the service time at the service desks and the additional service desk? Triangular Distribution Why The processing time at the desk has been shown to exhibit a spread across two values, with the most likely falling between them Develop a Simio model of the system. What is the warm-up period for this model? 1 Hour (specify the time units as well) Why? _______________________________________________________________________________ Create an Experiment Design Scenario with 10 replications. Report the following point and interval estimates for steady state conditions from 10 replications using your own custom defined statistics. Each replication is for 24 hours. Point estimate (estimate of the mean) Interval Estimate (confidence interval on the estimate of the mean) Additional service and move time for customers requiring additional service 124.915 seconds [124.792,125.037] seconds Total time in system for customers requiring additional service 201.021 seconds [208.78 201.] seconds Total time in system for customers not requiring additional service 186.112 Seconds [186.013, 186.210] seconds Number of customers at the service center [ , ] Fill in your observations in this sheet. Create a zip file of your Simio model and this file, and upload to canvas.tamu.edu.
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