SIT399: IT - Optimization Modelling And Decision Analysis - Deakin - Integer Programming - Computer Science Assignment Help

Subject Code: SIT399

Integer Programming - Computer Science Assignment Help

Assignment Task: SIT399 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 a commercial software to solve the mathematical programming problem. The assessment is to be submitted online via 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 - SIT399 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. What is cool about the polynomial-size formulation is that 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 timestamp 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. 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 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 sub tours 4. Code up the model in CPLEX OPL modeling language 5. Solve the data instance provided in the assignment folder and write down the solution

This SIT399: IT/Computer Science Assignment has been solved by our IT/Computer Science experts at My Uni Paper. 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.