Subject Code : SIT399
Country : Australia
Assignment Task:

Special Instructions 

This assessment task is for students to demonstrate their ability to understand an optimisation problem, be able to formulate a mathematical programming model and to apply commercial software to solve the mathematical programming problem. 

The assessment is to be submitted online via the Dropbox folder on or before the due date. The full mark for this Assessment Task is 15, and is worth 15% of the total mark for the unit. 

Problem description 

You have learned the Asymmetric Travelling Salesman Problem in Integer Programming, where you were taught an exponential-size formulation. What you may or may not know is that there is actually a polynomial-size formulation. 

It uses a continuous variable for each vertex on the graph as a time-stamp. Now, if we visit City j immediately after City i, then the time-stamp of City j, uj should be at least ui + 1, for ui the time-stamp of City i. With the u-variables and the original x-variables, we are able to model the Asymmetric Travelling Salesman Problem with polynomially many variables and constraints. 

The cool thing about polynomial-size formulation is that it can be 

Now, for this task, you are to find out what the polynomial-size formulation is, understand how it works, model it using CPLEX, and solve the data instance provided for this assignment (see Excel file: data.xlsx). 

In specific, you are required to perform the following tasks and to produce a report that is no longer than 8 pages. 

1. Research the web for references of the polynomial-size formulation for ATSP, it can be lecture notes, papers, or videos. Provide the URL (1 mark) 

2. Write down the entire polynomial-size formulation for ATSP 

3. Explain the constraints and the variables, and how the polynomially many constraints work in eliminating subtours, using an example (5 marks) 

4. Code up the model in CPLEX OPL modelling language 

5. Solve the data instance provided in the assignment folder and write down the solution 

Your report should be typed up in Word or LaTeX but submitted as a single PDF. The OPL model should be submitted as a separate file, but take a screen shot or copy-and-paste and include it in the report. 

This IT/Computer Science Assignment has been solved by our IT/Computer Science Experts at UniLearnO. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+ Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.

Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.

  • Uploaded By : Mia
  • Posted on : May 30th, 2019
  • Downloads : 169

Whatsapp Tap to ChatGet instant assistance