For this problem set you will use NetLogo to build a simplified simulation of your algorithm for getting multiple Roombas to coordinate in the cleaning of a floor. You will need to strictly adhere to the limitations of the physical device (it is very easy to cheat in a simulation), as well as to provide solid evidence that your solution works well.
You simulation will have a slider for chosing among different number of robots, from 1 to 10. Each robot starts life in a randomly chosen location and does not know how many other robots there are or how big the world is (or even that its a square). Like the real Roomba, a robot can only see or clean the dirt that is in its patch. Unlike the real Roomba, your robots will be able to talk to each other but only if both robots are on the same patch. The robots can move at most a distance of 1 during each time click, but they can communicate as much as they want and turn as far as they want.
The robots also have an energy
variable which
starts at 300 and is reduced by 1 at each click. The only way to
re-charge is by going to the patch at 0,0. Once a robot reaches
0,0 it will gain 20 units of energy
at each time
click, up to 300. There is no limit on the number of robots that
can be recharging at one time.
Each patch will have a dirt
variable that
represents the amount of dirt that is located at that patch. The
higher the number the more dirt there is. 0 means no dirt. You
will want to ask the patches to set their color to reflect their
dirt. Dirt will be added to a patch at each tick, the amount
will be taken from a poisson distribution with a mean
lambda
where lambda itself will be chosen from a
poisson distribution of mean 5. In other
words:
The effect of this should be that some patches get dirty faster than others. Notice also that your robot cannot read;during setup do ask patches [set lambda random-poisson 5] ;then at each time click ask patches [ set dirt dirt + random-poisson lambda]
lambda
directly from the patch. When a robot
reaches a patch all it can do is clean it up, that is, set
dirt 0
.
The obvious monitor that you need to have, and by which I will
measure the effectiveness of your solution is sum
values-from patches [dirt]
over time. You should plot
this value so we can see how it changes over time.
A secondary measure of cleaniless is a low
standard-deviation values-from patches [dirt]
as we
want the house to be envenly clean. You should also monitor this
value.
There are several specific requirements that I want you to focus on.
This problem set is to be done individually. You cannot ask or receive help from anyone. As will all the problem sets, you will hand them in using our department's dropbox. You will hand in only one file, your .nlogo file. You will use the information tab of the program for writing your detailed explanation of the techniques you used, how the program works, how to set the controls to obtain the different behaviors you want to show, etc. The information tab needs to start with:
Name:
email: (I will email your grade and comments to this address)
I understand that it is the responsibility of every member of the
Carolina community to uphold an maintain the academic standards and
integrity of the University of South Carolina. Any member of the
University community, who has reasonable grounds to believe that an
infraction of the Code of Student Academic Responsibility has
occurred, has an obligation to report the alleged violation.
I certify that I have neither given nor received unauthorized aid on
this problem set.