I am not a writer nor an artist but I am creating a video game and I am looking for a realistic imaginary world based on science. I am looking for realistic data to support the strategical framework of the game that follows:
It is based on a company that wants to select $p$ locations among a set of $m$ possible sites for constructing polluting plants in a contemporary world. The $m$ candidate sites are located on a territory containing different cities. We have:
- $d_{ij}$ the distance between city $i$ and site $j$
- $P_i$ the population (in thousand of inhabitants) of city $i$
I imagined experts that thought that a city was threatened if there was a polluting plant located less than 2 km from it.
There are two different factions :
The authorities' point of view that wants to minimize nuisance. They want to minimize the number of inhabitants threatened by the $p$ selected plants.
The company point of view that wants to minimize the transportation costs.
They take into account the volume of goods transported between the $p$ plants and the $n$ clients. The transportation cost from a plant $j$ to a client city $i$ is $1.5€$ per kilometer and per $m^3$ of transported good. The annual demand of city $i$ is $V_i$ (in $m^3$). It will be needed to transform the first model so that :- At most 5% of the population of $n$ cities are threatened (constraint imposed by the authorities).
- The demand of a city is delivered by a single plant
- The company minimizes its total transportation cost
I'm specifically looking for data, real or fictional, that would support this game framework, for instance the number of city in a given environment that would make it realistic in a given context (for example: are 10 sites for a population of 60 million people in 36,552 cities realistic? What would be the distances in this case?)