一个国外的数学建模竞赛题

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CHALLENGE 2 (Model with Budget)
In reality there are at least two other factors that have to be considered. First, the cost of opening a new shop depends on the location and there is a finite budget. Second, we are interested not in winning the competition but in attracting as many customers as possible.
Assume that the cost of opening up a new café is k units at a k-junction. In particular, it is 1 unit at a dead end, 2 units along a road, 3 units at a T-junction etc. You are to:

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CHALLENGE 3 (Generalised Model)
The first two models are very much simplifications of the real situation. In reality, customers might not be evenly distributed among the streets and the behaviour of the potential customers may be influenced by factors other than just distance alone. Also, there are limited places where new cafés can be opened.
Propose a few more general models that you can think of and describe their strengths and weaknesses. Think of real life scenarios that might be included in your models, such as pedestrian density, rental cost, availability of space, weather conditions, the size of budget etc that you can think of. You need to explain how your model takes into account these scenarios, state meaningful objectives to be optimised and outline your approach to solve the problem.
Your work will be judged based on
• Formulation and justification of your models;
• Solvability of your models and critical analysis of your solution.

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Map of City Hall Area     Map of City Hall Area     Map of City Hall Area     Map of City Hall Area     Map of City Hall Area     Map of City Hall Area     Map of City Hall Area

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Starbucks in cyan and Coffee Bean in red。Starbucks in cyan and Coffee Bean in red

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神奇~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~