I had read about genetic algorithms a long time ago, thinking to myself, "hey this sounds neat, I should try that one day!" Well, ten years later (what is that in Internet years?) I've finally scrounged up some time to play around with the concept. As with similar posts I've made in the past, I like to start off with a disclaimer: I've never formally studied genetic algorithms, nor do I claim to be an expert. I like to write about what I learn because it helps solidify the concepts in my head and because it forces me to actually finish small projects. Hopefully the reader learns something new, or corrects me where I get something wrong. In other words...
![](/image.axd?picture=/article_images/path_finding_with_ga/fireman-dog-has-know-idea-what-hes-doing.jpg)
Code
The code for the project is available on Github.
The Problem Space
Before discussing genetic algorithms, let's briefly discuss the problem we will be throwing at it. Our little program will take in as input a maze (or if none is provided we will randomly generate one). Mazes are bitmap files, where the color black (#000000) is uncrossable and white (#ffffff) is a crossable path. A single blue pixel is the starting point and a single red pixel is the end point.
Here is an example (zoomed in) maze generated by the program.
![](data:image/png;base64,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)
The goal of the GA is to find the shortest path between the starting point and the end point.
Some notes if you're playing at home:
- We move one pixel at a time
- Our instruction set is "Up", "Left", "Down", and "Right." Note that we do not have the ability to move in a diagonal within a single step, so design your maze accordingly
As a final word before we get started, I want to just state that I selected this problem space because I thought it would be an easy project. There are other algorithms that are better suited to path finding, such as A*.
Genetic Algorithms
Genetic algorithms (GA) are adaptive heuristic searches based off of very (and I mean very) simple models of sexual reproduction and Darwin's theory of evolution. Like similar algorithms (hill climbing, simulated annealing, etc) GA's are a randomized search that use historical information to get closer and closer to the goal state. The GA difference is the use of crossover, where parts (genes) of a chromosome (algorithm) are spliced with another selected chromosome. Selection usually combines the best chromosomes together such that with each successive generation only the most fit chromosomes survive and reproduce. GA's also have a mutation component to them, where every so often some genes randomly mutate. This is to keep genetic diversity in the population and keeping us from getting stuck in local minima (or maxima).
Encoding
Chromosomes are made up of genes, and those genes need to be encoded. Binary encoding used to be the preferred method (as I will use), though other types of encoding can be used. Regardless, you'll need a way of reading a chromosome and interpreting the algorithm.
Example: Using a binary encoding, each gene will be two bits, and interpreted as follows:
Gene |
Instruction |
00 |
Move Up |
01 |
Move Left |
10 |
Move Down |
11 |
Move Right |
An example chromosome would be 0100101100.
Population
A population is compromised of a set of chromosomes, from which some will be selected (discussed later) to reproduce into the next generation's population. You'd think that a very large population would introduce more variance into the population which would help yield better results, but bigger population sizes slow down the GA. Population sizes that I've seen recommended are 20-30, or 50-100, depending on the problem.
Crossover and Crossover Rate
As discussed earlier, crossover is the process of combining genes from one chromosome with genes from another. There are different crossover methodologies such as:
Single Point Crossover
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOcAAABkCAYAAAB90CdWAAAMZ0lEQVR4Ae2de4xdRR3Hv2dv91Gg2N0WRMQiIMRWs9qoaFDjCzWmGEGDr2BNjA80Kmp8oGITH4hITYSoCBolxqiIxojyj0YxxvBoxSpFlAooVNqi7tJ2t933PeZ79zdl9px77rnbvXte9zvJzbln7pyZ33zm/O7MmTPz+9WgkCeBrwE4HcC2PIVQ2cUk0FNMsSSVCIiACIiACIiACIiACIiACIhABQjUKlCHMlfhiQD6AEyWuRKSfXkISDmXh2u7uV4J4GTN1raLq7vSBVWq7q3rhq8NEb62LHXaOvLI6lP7+mcuXLX2UFlklpzLTyAERl/x8M7hFctfVJYlhGsAPDnLEpdSVl9PgF40/h9XLyUfXVstAgEwwBpVTDnL1Uhn9A7ghFpvuYSWtJkRkHJmhjpe0KbjhuKRihEBI6AVQroVRKCgBKScBW0YiSUCUs4c74Htk2PYNT2RowQqusgEpJw5ts7tE2O4d+pwjhKo6CITaKWc9wAI7fNfAD8AwFcVWYZ/A3hulgWqLBEoCoG02dq3m1KeBuBGAF8E8J42hWfes22m7UiyehDuCurBHR3JLINMxutzp43V5yYQYl8GxamIshDowf40UdlzXuQl+gQA3vifA/AQgDEAOwC8xEvDm+yTAP4M4G8Wz/WjPwbwHwD/AvDhSHrmy83G/wBwg/fu9Rum3Hvsus123WcB7AUaFbgPwNlefmX7+jwAZ5VNaMmbPwFfOY8DcCuA7wF4CwAqHNflvgvAowBWmrhUzlsA9AONpS9c/nIbgK2YX/VwKgAq1CYv/U8B8E08P3cCeKtX9eiw9jmmqCdYGvbop3jp9VUEuoIAlZPdKxWOuyaonM2WxrE3fJYRYdpXeXQYf8AU2UV/wHpInjO93/Nebors0kaVk/mxBz7XdnO4dDqKQOUIpD1zfhrATwA8BmDaas/hJRXsJABztqtirUeGQ04X2FOyF/2rizCl4rDXhRH3BQDfK7SadPoLgEsBXGHDwV/YMJkTVgoiUCkCrWZrWVH2ehy2OsU8E8DVAN4B4CkAngqAvZu/u4UzvC7stt53PYCn24cGrV7vEqQc601+/w4APqudAeAJAC5rkqYsUR8H8MayCCs5syWQppxRaY4HwBdznLxh4PYsPvclBfZ0/wTAfYt8buVz6oZFTOJwCPs0L/NnADjHJo0OAhjPekbYk6UTX9cBOLETGSmP6hFYrHLeBeCHNhv7e3u+9IesUULs+c63oe/9AP4HgD1fu1uk+OrmKhtWc/KJCv51AKMAHjEl/UK0UJ2LgAiIwFIJ0G7t+5eaia6vJgH/WbH0NRzeePW1QE9pLCGE4WwABGEQyFpM6W++jlYgHL17xwerZQkhCII1YRg2e93TUXSdyuxxpfTn0DqVu/IpMYGGJYTFPnOWuL4SXQTKRUDKmWN7zc0dRr0+laMEKrrIBKScObbOvr234LERrlhUEIE4ASlnnIliRKAQBKSchWgGCSECcQJpa2vjVyimYwQGBk5Cb+9gx/JTRtUiIOXMsT3XrH1xjqWr6KITqJRyhvVgF4KwNJYQin5zSL7cCKRaQshNMhUsAiIwv0tEHPIj8DLb9sZteQoisICAZmsX4Mj85A0A9OCZOfZyFCjlLEc7ScouJCDl7MJGV5XLQUB7lfJtJ87K/R2AbCDl2w4qXQREQAREQAREQAREQAQKQoD2kyvlV0fPnPneWR8y42fOdUW+0pS7dBp9+6NZh0yrCc250kAdXX0UNlRq+V5hKScLRrOfS3X2xDZcah7JEi7PL8shM12FVCroVUpxm/NkcwDF1UO0ik+Toi7QjYVzGLXTIqnovzYzouyJfWPVSc6fkuKT8qLTKXoA8AONjF9jEWlOq6Iy+/nwO+v1GQC3m5eAb0bcbiTJxWv9YS3zaeUgi94Kbo44yIrKovMuJ5BkGpN/mtsB0NPaKnNp4a8k4s3nO4zi48m95gGuz1Yd0QvcswEkOX9Kim+VF91r0Kg4ZWJgWrrfeIFZ/U9zWuXLbFksOLh6sWflh+mdRf9WcjGTqHIuxkHWAiF0IgIkcKx5X4vS2GhuLOhnplngTew7jKJ7Cj5z8YZ24dvmFCrJ+VNSfKu8mPcfADh3jK8E8IAV2I7TKl9mJ6d/ZL1e40W82vOzkyZXVDkX4yDLK7I4XzWszbctDpkHt6gU9EPDSYtW1r98h1EcAtMCvv/syZuVZkJ9509c7PB9AHShmBTfKi/KSQ/ndAPJQHeNPGfwnVZxYQU/9MVKFx4u+DK7uOjR3wRAZaU8DGlyWbIjh6iDLHoLKFWQchazuegAin5HOURNCr6xW846UhH9npNOpqiwDEnOn5rFp+V1E4CXmnwXeMrZjtMqX2YTLXbwfe/Q6ZWbUU2TK5ZRi4hmDrJaJM/nJylnPtxdqfw3bxgQdhF2pItEOov6ivmH4fDWf+aMJMefzG8pXTbSCfELbUKIvVqS86ek+FZ5sVz2vr8D8F1zUuVeAy3VaZWr00etZ6cryE8BuNF+SJPLXd/OMeogq51rlKbLCCRNCBEDe0JOatD5E4dofIZ0gcO9Z7oTO9J9/W/sWZVDSjf0fD6AHQDolY2KxZ6PhouS4pldUl6uyLcBYC/4MRdhR87WcthM+ejTlVYp3HNmM5kjlzeuu8T+mFjn620yzKVrJVf0mdPnw0klzvy6QBeU7OkpIx1kKYhAjEAr5Ywl7oKIdhS4CzDMV1HD2q5palW0bASknPm2GH2WugmPfCVR6SIgAiIgAiIgAiIgAiIgAiLQeQJcr6iQH4FzbAWNzJTk1waFLVkTQvk2DZe/0XatggjECEg5Y0gUIQLFICDlLEY7SAoRiBHQM2cMSaYREwDuA+DvxMhUABVWXAJBcUVbvGS/XTe8GUHIDcalCIfCganLhi5K2rNZijpIyM4TqAcY37njki3+FqPOl5JxjgHC88IQF2Zc7NEX1xOMhkEwdPQZ6MoqEgjmNzps0TNnFVtXdaoEASlnjs1489i+/oMH7slRAhVdZAJSzhxbZ/f0ZG1mmqZ/FEQgTkDKGWeiGBEoBIF2lTNtE6y/C93/Hq3kVgBfikbqXAREIE7AV056WaZZCdol5VpP2gzl2s92whYAD7WTUGkeJ7B58JSJwTW0FqIgAnECTjnfbQabaI3tTPvQgJOzTxq/cmEMTeEvdfF2pV7rLMTT/GxVz4qwp0evOZvTUSyVcyWAKwHQ6hkNKtGcIp260uz+ez1E7EVpae0AgBsiZhiThrIbANxp1/wSwGovP37lcDlqoj/NpH+Smf1I1joVgXITYG9Fs/xUmh81qYpvZ/TNtoOCNj/poYm+OJxB4SaXNkz1/8x65KsAnAvg5wC+Gkn8IrMEN20m/XkNzfqvA0BF/RWAXTbM5qVnm+lHfqf18SNyTNXrF/eHtY9E8i/s6aMzY7XpidGgr2/INwZdWHklWDYEenvn5lxJrwMw7k4SjuzhnIlDJrnCTP275H7P6b5TiWjW0V+/y+dYf0Iomm87Jv1bmdl38pTlKOt7ZWmpHORkz0n7oPTZQbP5tG2aFHxDVHQjQIvkrQLN5z8M4Mi/AIAHm1zgm+j3Tfq7pLR6TiPLLkTN7NP4sIIIVI4AlfMue8Z8E4BvRWrIhfH+0Dbyc8tTKvOJkRQcpkYV1M/fN+nvx0ey0akIVJ8AJ4S4belSG6a+E8CT7BmUr1bogu5oA5WeedO6NgNngTfZ96RDp0z6J+VftHiOLOgaQEEEYgTc64vrbHhL8/p0hMphK2dZL49d0X4Eh7N0dMPemMrPVy2cEGoVONl0vvkIoU1Xvmfgfke+R61i+HIVK6U6iYAIiIAIiIAIiED2BCplCWF44zWbg7A8lhAm9m8fet/h28LhlcfS25WCCMwTqGP85bt3VswSQoDzQgSlsYRwcOz+yQfrkwPDA3yTpSACRiBovN6UJQTdECJQVAJu4XtR5ZNcItC1BKScOTb90PHrZzb0H5OjBCq6yASknDm2zuCq9TNn9XFTkIIIxAlIOeNMFCMChSAg5SxEM0gIEYgTkHLGmWQWs3fkjv5tE2OZlaeCykXAra0tl9QVkfbw5J7anjr3mCuIQJxApZRzdmr24lptRWksIYzsv/vzNwWzD1xwzFqafVEQgQaB2ooZfw+0qOREQJYQcgKvYkUgjQA3nw+mJdLvIiACIiACIiACIiACIiACIlBSAr7ZypJWodRic0LodADbSl0LCb8sBLQIYVmwKlMRWDqB/wPLInh4XYJVOAAAAABJRU5ErkJggg==)
Two Point Crossover
![](data:image/png;base64,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)
Uniform Crossover
![](data:image/png;base64,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)
(Above images taken from the Wikipedia article on GA crossover).
We will be using uniform crossover.
Not all chromosomes will crossover. The rate of crossover is determined by the crossover rate. The crossover rate is recommended to be high for best performance. We will be using 0.6, which is actually on the low end of recommendations.
Selection
Chromosomes from a population must be selected to mate to generate the next generation. There are few strategies, such as tournement or roulette wheel. Selecting the best chromosomes is called elitist selection. We will be using elitist selection.
Mutation and Mutation Rate
Randomly a GA will modify a chromosome's genes, based on the mutation rate. Unlike crossover rate, the mutation rate is suggested to be low. If the mutation rate is too high, it will be difficult to converge on good solutions because the GA will start diverging away. Some people like to start off with a higher rate to promote genetic diversity and slowly lower the rate through the generations to let evolution do it's work. There are multiple mutation strategies such as flipping a bit or swapping genes.
Fitness
Throughout this post we've been discussing "solutions," "best chromosomes," etc. But how do we know which chromosomes are the best? This is done via the fitness function, and this is really where all of the magic happens, and where you'll be spending most of your time experimenting. The meat and potatoes of our fitness function is shown below:
var steps = walker.Walk(out repeatedSteps, out closest);
if (steps < int.MaxValue)
{
steps = steps + repeatedSteps;
}
else
{
steps -= this.maze.Height * this.maze.Width * 50; // prevent overflow
var open = 0;
for (int x = 0; x < this.maze.Width; x++)
{
for (int y = 0; y < this.maze.Height; y++)
{
if (m[x, y] == Maze.State.Open)
{
open++;
}
}
}
steps += (open * 50) + ((int)closest * 2);
}
return -(steps);
The Walk()
method (not shown) walks the genes of the chromosome, where each gene represents an instruction for a step to be taken in the maze. Walk()
counts the total number of steps
taken. Steps that were crossed one or more times are represented by repeatedSteps
. A repeated step is weighted by the number of repeats. For instance, if the number of steps taken were 10, and 2 pixels were repeated 5 times, repeatedSteps
would be 5, not 2. If Walk()
does not encounter End,
steps returned will be Int.Max
. If End
is encountered, instructions past End
(in terms of genes in a chromosome) will not be counted as steps. Walk()
will also return the closest point to End
encountered in the walk.
If the walk reaches the end point, we return the negative of steps
, since the goal is to minimize the number of steps taken (so fitness is highest when the score is lowest). To discourage the algorithm from walking around like a drunken sailor, we add repeatedSteps
to steps
(to give a lower fitness).
![](/image.axd?picture=/article_images/path_finding_with_ga/drunk-o.gif)
What do we do when the walk has not encountered the end point? Here we get a little creative to help (we hope) the GA converge faster. In this situation, we sort of want the opposite of what we wanted earlier; we want to encourage more steps so that we cover more ground in search of the end point. We also give a slight preference to chromosomes that edge toward the endpoint.
Performance
So how does our GA perform? Here's a run on a randomly generated maze. It was instructed to stop at 5 minutes or at stagnation, which was set at 300 (meaning no new better was found within 300 generations).
![](/image.axd?picture=/article_images/path_finding_with_ga/output.gif)
As noted earlier, the white lines represent the crossable paths, the blue point is the where we start and the red point is the target. Green represents paths that were only crossed once, and yellow are steps that repeated one or more times. We can see that the algorithm quickly found the shortest path and then optimized away most of the repeated steps. Setting the stagnation rate to a higher number would have optimized the remaining repeated steps away.
Now let's try a maze that I hand crafted. In this case the GA was still finding better and better results before we hit the 5 minute cap (by the way, all of these caps are configurable via command line options, but 5 minutes was the extent of my patience. Use the --help
switch for a list of options). It looks like here the GA was close to finding the shortest path, but still had much optimizing to do to get rid of the repeated steps.
![](/image.axd?picture=/article_images/path_finding_with_ga/output2.gif)
Finally, can we come up with a maze that tortures our GA? Here's what I came up with. While this is laughably easy for a human, it kills our GA because it will take a boat load of mutations before it covers the entire maze to find the end point (note that the start and end are on the opposite ends of the maze, and there is only a single path). I set the parameters to (what I thought) were obscenely large numbers. Apparently not obscene enough though; this run terminated at the 50 minute mark without ever hitting it's goal; though you can see that it got close and would have hit it's goal sooner than later. I wouldn't want this thing driving my taxi around town though.
![](/image.axd?picture=/article_images/path_finding_with_ga/output3.gif)
Libraries Used
GeneticSharp is a genetic algorithm library that's pretty easy to use and has a bunch of options and is well documented and is actively maintained. As I've stated earlier, I'm far from an expert in GAs, so I can't speak to the quality of the library when compared to others, but given all of the positive aspects I noted I imagine that it is a strong contender.
Command Line Parser is a library for parsing command line arguments. I almost feel silly for saying this, but I'd never considered even looking for a library for parsing command line arguments and for displaying help hints; leading me to reinvent the wheel quite a few times (and probably a poor job in doing so). This library can be a fantastic addition to any console application.
Gifed is a library used for making animated gifs. Finding a gif library was more challenging than I thought it would be, and finding an easy to use library was even harder. This one did a great job though.
Notes
Every so often the program would throw an error that I had never seen before; "Attempted to read or write from corrupted memory.
" Very odd, I certainly am not using any unmanaged code (I'm not sure where in managed code memory would get corrupted), and I briefly looked through GeneticSharp and didn't see any unmanaged code in there either. Perhaps the issue is further down the stack, such as in his use of the SnippetSmartThreadPool library. It was quite annoying to have a long running evolution get stopped by an exception, so my solution was to catch the exception and not evaluate the "corrupted" chromosomes. Note that this type of exception cannot be caught normally, so I had to use [HandleProcessCorruptedStateExceptions].
Final Thoughts
While I had fun with the project, should I now use GA's anywhere I need a heuristic search (not that I personally run into that need often)? No, I don't think so. The entire time I was working on this project, it just felt like a good fitness function with some randomness would yield similar results. Apparently I am not alone in this. As I later looked for sources to write this post, I ran into the following:
and then the following quotes:
[I]t is quite unnatural to model applications in terms of genetic operators like mutation and crossover on bit strings. The pseudobiology adds another level of complexity between you and your problem. Second, genetic algorithms take a very long time on nontrivial problems. [...] [T]he analogy with evolution—where significant progress require [sic] millions of years—can be quite appropriate.
[...]
I have never encountered any problem where genetic algorithms seemed to me the right way to attack it. Further, I have never seen any computational results reported using genetic algorithms that have favorably impressed me. Stick to simulated annealing for your heuristic search voodoo needs.
— Steven Skiena
That's not to say that GA's have never been used to produce anything. Here's an antenna used by NASA that was "designed" by a GA (Source):
![](data:image/png;base64,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)
I'd love what some of you that have more experience with this type of thing have to say about it!
Follow Up
In response to this post, a Redditor made the following comment, which I thought was fantastic:
Every time an article pops up about GA, I'm excited again for the prospect of finding something useful to do with GA. And every time I'm disappointed again.
While I commend the author for implementing a genetic algorithm for path finding, what the author does is really just evaluating random walks and selecting the best. Sure, there is a bit of breeding in there, but especially the last example shows that we're basically waiting for a random walk to the end of the tunnel, and then would use GA to "optimize" away the unnecessary steps. In fact, this could be more easily achieved by preprocessing the labyrinth and turning it into a graph of possible routes. All the shown examples would have been solved much quicker had the GA algorithm not tried to step its way through it.
At least, the GA algorithm should have killed solutions that back-track, ie. that cross their previous path, immediately, since those solutions are never good solutions. This would have turned it into somewhat of a genetic Dijkstra.And at the very least, the GA algorithm should have dis-allowed immediate backtracking, ie. taking a step and then stepping back, which would have helped with the last labyrinth massively and with the others greatly.And that's the main gripe I have with GA in general: you implement something silly and random and get very bad solutions that take ages. Then you add a bit of domain knowledge, then a bit more and another bit more until you finally arrive at a regular algorithm for solving your problem. If you go that far before you give up.
Note that any of the well-known path-finding algorithms would have solved each of these mazes in milliseconds.
...
Here's another point I'd like to make in connection to what the guy said: GA isn't an optimization algorithm, it's a search algorithm. It searches really well if your solution space is full of viable solutions, without any obvious gradients and very rich in non-obvious parameters. The kind of problems we usually apply it to (like path-finding or crossing-minimization or any of the well-defined NP problems) aren't like that, and that's why we see no real benefits with GA over them.
And if you look at the inspiration for GAs, biological systems, that's exactly how they are: lots of parameters with rather un-defined functions (genes), lots of solutions (basically any combination of millions of genes) and completely non-obvious gradients.
Also bonus points for being greatly parallelizable, because that's another real benefit if you're doing massive searches.
- habeamus
Regarding his/her note about GA's and path-finding; I did find it necessary to point out at the beginning of my post that an algorithm like A* would be far better at pathfinding than a GA. I really hope that this isn't lost on anyone reading.