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# Transport modeling assignment 1

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### Transcript

• 1. Assignment 1<br />
• For each of the random variables defined below, indicate whether the random value is a discrete or continuous variable.
• 2. Inter-arrival time of customers
• 3. Number of customers arriving at a bank
• 4. Waiting time for customers waiting in a queue
• 5. Number of vehicles required to serve a distribution company.
• 6. Service time at a teller in a bank
• 7. Distance travelled by a forklift in a warehouse.
• 8. Defective rate in a production center.
• 9. Number of daily defects found in the output of a production center.
• 10. The arrival times of the customers at two branches of a company are recorded as follow:
Customer NoArrival time branch (A)Arrival time branch (B)18:04:00 AM8:04:00 AM28:09:00 AM8:09:00 AM38:12:00 AM8:12:00 AM48:15:00 AM8:13:00 AM58:19:00 AM8:15:00 AM68:24:00 AM8:19:00 AM78:28:00 AM8:24:00 AM88:32:00 AM8:28:00 AM98:37:00 AM8:32:00 AM108:40:00 AM8:37:00 AM118:44:00 AM8:40:00 AM128:49:00 AM8:44:00 AM138:53:00 AM8:49:00 AM148:58:00 AM8:53:00 AM159:02:00 AM8:58:00 AM169:07:00 AM9:02:00 AM179:10:00 AM9:06:00 AM189:13:00 AM9:09:00 AM199:17:00 AM9:12:00 AM209:22:00 AM9:22:00 AM<br />
• Compute the descriptive statistics that define the inter-arrival time of customers if the company starts it business at 8:00 AM.
• 11. What is the difference between the inter-arrival time at branch B in comparison to the inter-arrival time at branch A?
• 12. Given the service time of the first 10 customers arriving at branch A, compute the descriptive statistics of the time spent in the system.
Customer NoArrival time branch (A)Service time18:04:00 AM828:09:00 AM838:12:00 AM448:15:00 AM658:19:00 AM768:24:00 AM778:28:00 AM788:32:00 AM498:37:00 AM4108:40:00 AM5<br />