MATH803: Mathematical Modelling and Simulation - Mathematics Assignment Help

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Assignment Task:

 

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The purpose of this assignment is to assess your analytical and computing skills on the queuing theory with an application on traffic congestion problems using SAS.

(a) Describe this traffic problem in terms of queuing theory, e.g., how to apply the queuing theory to model this type of data, and discuss the data collection from the chosen ramp. 

(b) Verify your data collection by showing some snapshot pictures and explain how to calculate all necessary parameters.

2. Queuing System  

(a) Discuss the queuing process in this problem.

(b) Explain the queue configuration. 

The websites above provide snapshots of the road ramps with the random update time. During the peak hours, e.g., 7:30-8:30 am where the ramp lights are operating, take the snapshot pictures for 5 minutes (you can simply copy the image), see example below: 

(c) Explain the queuing model including all parameters.  

3. Results and Implications 

(a) Report and discuss the results. 

(b) Suggest a solution to the problem.

(c) (Bonus) Use a simulation to demonstrate your suggested solution in (b).

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