What mathematical models are used to describe the Smart City?

Question

Mathematics

It is necessary to recreate a complete picture of a smart city in mathematical modeling. Perhaps there are ready-made concepts for describing Smart Cities?

Answer 1

Here it is no longer mathematics itself, but its very practical part - information theory and cybernetics. The first drags the checkmate. apparatus that explains entropy from an informational point of view, looking for ways to maximize information for each bit of entropy. The second one quite popularly explains the feedback theory, the mathematics of the first is friends with physics. Also, sociology may be required, and this is an obscene use of graph theory, but oh well. Otherwise, the task is relatively simple - to solve the function of maximizing productivity from minimizing energy, the question is in the criteria for additional restrictions (for example, a naive solution does not pay attention to ecology at all). As practice shows, there is nothing impossible to make even a plot of two acres completely self-sufficient, to say nothing of the city. For the rest,
In any case, it's not very clear what exactly you want to model. The function to be maximized is multicriteria, and the topic is very shaky. In fact, you can get any results you want. Everything depends on desires.

Answer 2

Banal logic suggests that any city consists of buildings, structures, communications and population (residents). It is logical to assume that a "smart city" consists of "smart" buildings, structures, communications and, most importantly, smart residents.
In short, your task is to mathematically describe smart buildings, smart communications and smart people who will use it all. The task, frankly, is not trivial. Start by answering the question why there are no smart cities in real life.

Answer 3

I will answer briefly about the Smart House (I have not met the city yet).
Main tasks: comfort and economy of resources.
Basic systems: access control, alarm sensors, climate control, automation (lighting, curtains...), multi-room (video, sound), remote control.