Step 1: Identify and Solve a Typical Problem There are a number of typical models in...

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Advance Math

Step 1: Identify and Solve a Typical Problem
There are a number of typical models in the Operations Researchfield which can be applied to a wide range of supply chainproblems. Select one of the following typical models:

• Travelling Salesperson Problem (TSP)
• Multiple Traveling Salesman Problem (mTSP)
• Knapsack Problem
• Vehicle Routing Problems (VRP)
• Job Shop Scheduling
• Parallel Machine Scheduling
• Christmas lunch problem
• Newsvendor problem
• Pickup and delivery
• Travelling thief problem
• Eight queens problem
• Minimum Spanning Tree
• Hamiltonian path problem

1.1. Background:
• Provide a detailed explanation of the selected problem.

1.2. Model
• Provide typical mathematical model of the selected problem andclearly explain different aspects of the model (e.g. decisionvariable, objective function, constraints, etc.)

1.3. Solving an Example
• Develop a mathematical model for a workable and reasonable sizeof the problem.
– For many typical problems, when size of the problem increases, itbecomes NP-Hard. In other words, your computer will not be able tosolve it mathematically. Therefore, ‘workable and reasonable size’here means that size of the selected problem should not be toosmall or too large.
• Solve the problem in Excel and transfer your solution to Word. Itis required that details and steps of getting the solution areprovided in the Word document.
• Interpret the findings and discuss.


Step 2: LR on Application of Selected Typical Model in Design andAnalysis of Supply Chain
• Identify at least 5 peer reviewed articles in which your selectedtypical problem has been employed to address knowledge gaps insupply chain field.
– At least one of the selected articles should be published after2010.
• Write a comprehensive literature review on the application of“your selected” typical model in design and analysis of supplychain and address the following (but not limited to) points:
– What type of problems in supply chain can be addressed by theselected typical problem?
– Compare similarities and differences of selected articles.
– Discuss the suitability of using the selected typical model indesign/analysis of various supply chains.
– What are the limitations of your selected typical problem?
– Undertaking any additional critical and/or content analysis onthe application of selected typical problem in design and analysisof supply chain is highly recommended.


Step 3: Summary of Findings
• A summary of findings regarding the strengths and weaknesses ofthe selected typical problem in design and analysis of supply chainshould be summarised in this section.
Note:
• From each article something unique should be explained in thereport. • Word limit: 2500 ± 500 words

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