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Oct 31, 2022 12:50 AM
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Queuing simulation
Given parameters:
- 1) Service time; and 2) Mean inter-arrival time (); 3) Random Digits for calculating of Interarrival time.
A few calculations need to know to find the Average waiting time; this is listed below step by step:
1. Interarrival time
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2Ff93e6315-4f7c-40ce-b313-42ca7246e47b%2FUntitled.png%3Ftable%3Dblock%26id%3D22371d1a-d390-4722-a598-543c441adec6%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DQtAbN_uPUnucp20fI7pAmQWZ3kKVC3v1gi1ND4qO-n8?table=block&id=22371d1a-d390-4722-a598-543c441adec6&cache=v2)
2. Arrival Time
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F8b01d1d5-a37b-494d-af7a-f2c67e131bb1%2FUntitled.png%3Ftable%3Dblock%26id%3Dd75f6442-785c-42cc-b157-d5cfc51c1928%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DAiLrdTrZkJINqc3UHJb-J_I_EQzLM8Y2fqIF7gpjOnE?table=block&id=d75f6442-785c-42cc-b157-d5cfc51c1928&cache=v2)
3. Service Start
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F8912f213-f17c-457f-86fb-ff1893207b06%2FUntitled.png%3Ftable%3Dblock%26id%3D65a732ca-f06b-4105-a5c9-ebe65d29eb51%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DHVu9jIgxvnbPLwVRkDe-_pdjHf6P3E6fQgRndQvlyt0?table=block&id=65a732ca-f06b-4105-a5c9-ebe65d29eb51&cache=v2)
4. Service Finish
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F1dc3d9cf-418c-4861-ba44-07c138adc2b3%2FUntitled.png%3Ftable%3Dblock%26id%3Ddec32cda-c3e6-4e60-a549-2b7a55602e12%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DHTJewwHVU9Rl8m2u7B9NRlrlbDCGFshm5ZBovSNgDjM?table=block&id=dec32cda-c3e6-4e60-a549-2b7a55602e12&cache=v2)
5. Waiting Time
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2F26cd0f11-7d5d-4308-bfaa-027a31fbf191%2FUntitled.png%3Ftable%3Dblock%26id%3D64f4ac6f-e05a-4edd-acf8-9fd8ad356528%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DtDahAWj30gdt-S4G3ZdeOvJeziEZAUWZ94hQ7lSKuzM?table=block&id=64f4ac6f-e05a-4edd-acf8-9fd8ad356528&cache=v2)
Finally, averaging waiting time will be the mean of waiting time.
Random Number generator
![notion image](https://www.notion.so/image/https%3A%2F%2Ffile.notion.so%2Ff%2Ff%2Fe1c5ba0e-562a-49b0-8505-ce5e38fc061b%2Fe6cd2c4c-7de0-427c-b526-8370f4994d23%2FUntitled.png%3Ftable%3Dblock%26id%3D32a0f45c-1a66-4e11-b33e-33da740719ae%26spaceId%3De1c5ba0e-562a-49b0-8505-ce5e38fc061b%26expirationTimestamp%3D1725487200000%26signature%3DNp_96uy9q6YWxqdcH4l78-HJq7-Zfp3NcPO_1SiypAM?table=block&id=32a0f45c-1a66-4e11-b33e-33da740719ae&cache=v2)
- Author:Jason Siu
- URL:https://jason-siu.com/article%2F14c4cfbc-f05e-4a6e-96d9-6a6c1b39c97f
- Copyright:All articles in this blog, except for special statements, adopt BY-NC-SA agreement. Please indicate the source!
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