I am trying to understand the Optaplanner CVRPTW example and have the below questions:
Does every node require both distance and travel time to every other node? Or it just requires any one of them? Example data set does not contain both of them. I think it uses euclidean formula to calculate the distance, but how does it automatically calculate travel time?
Is it possible to use real time data (precalculated road distance data)?
Depends if the dataset is using AirLocation or RoadLocation. See docs on vehicle routing, chapter 3.
Yes, if you can hold all the data in memory. At 10k+ locations this becomes a problem because (10k)² ints require almost 2GB RAM. The goal of SegmentedRoadLocation is to scale up to 100k locations without using a lot of RAM, but generating good segmented road location has proven to be difficult.
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While I'm certain this must have been tried before, I cant seem to find any examples of this concept being done myself.
What I'm describing goes off of the idea that effectively you could model all "things" which are as objects. From their you can make objects which use other objects. An example would be starting at the fundamental particles in physics combine them to get certain particles like protons neutrons and electrons - then atoms - work your way up to the rest of chemistry etc....
Has this been attempted before and is it possible? How would I even go about it?
If what you mean by "the Universe," is the entire actual universe, the answer to "Is it possible?" is a resounding "Hell no!!!"
Consider a single mole of H2O, good old water. By definition a mole contains ~6*1023 atoms, and knowing the atomic weights involved yields the mass. The density of water is well known. Pulling all the pieces together, we end up with 1 mole is about 18 mL of water. To put that in perspective, the cough syrup dose cup in my medicine cabinet is 20mL. If you could represent the state of each atom using a single byte—I doubt it!—you'd require 1011 terabytes of storage just to represent a snapshot of that mass, and you'd need to update that volume of data every delta-t for the duration you wish to simulate. Additionally, the number of 2-way interactions between N entities grows as O(N2), i.e., on the order of 1046 calculations would be involved, again at every delta-t. To put that into perspective, if you had access to the world's fastest current distributed computer with exaflop capability, it would take you O(1028) seconds (on the order of 1020 years) to perform the calculations for a single simulated delta-t update! You might be able to improve that by playing games with locality, but given the speed of light and the small distances involved you'd have to make a convincing case that heat transfer via thermal radiation couldn't cause state-altering interactions between any pair of atoms within the volume. To sum it up, the storage and calculation requirements are both infeasible for as little as a single mole of mass.
I know from a conversation at a conference a couple of years ago that there are some advanced physics labs that have worked on this approach to get an idea of what happens with a few thousand atoms. However, I can't give specific references since I haven't seen the papers and only heard about it over a beer.
I have 4 people to visit 22.000 places. So, I need to minimize the total time of the visits.
I have the spatial location of the places, and I'm thinking of getting a distance between them or using euclidian distance or using the Google Maps API.
It's possible to solve this problem using OptaPlanner.
I think of solving using the Vehicle Routing modeling. This is the best option? Would OptaPlanner support this amount of input data?
OptaPlanner has done cases like this, but you'll need to enable "nearby selection" explicitly because it's above 1k locations.
Because it's above 10k locations, it might be interesting to benchmark (using the benchmarker) with Partitioned Search too. For example, to speed up the Construction Heuristic, you might want to wrap that in a Partitioned Search. You probably can't wrap it all, because there are only 4 people.
As for using Google Maps API, first read this blog. Then: 10k locations takes 2GB of RAM IIRC to store the distance matrix in its most efficient form (double array of 32-bits) - this has nothing to do with optaplanner. I suspect 22k will bring you near 10GB of RAM just to load that in memory.
This question somewhat overlaps knowledge on geospatial information systems, but I think it belongs here rather than GIS.StackExchange
There are a lot of applications around that deal with GPS data with very similar objects, most of them defined by the GPX standard. These objects would be collections of routes, tracks, waypoints, and so on. Some important programs, like GoogleMaps, serialize more or less the same entities in KML format. There are a lot of other mapping applications online (ridewithgps, strava, runkeeper, to name a few) which treat this kind of data in a different way, yet allow for more or less equivalent "operations" with the data. Examples of these operations are:
Direct manipulation of tracks/trackpoints with the mouse (including drawing over a map);
Merging and splitting based on time and/or distance;
Replacing GPS-collected elevation with DEM/SRTM elevation;
Calculating properties of part of a track (total ascent, average speed, distance, time elapsed);
There are some small libraries (like GpxPy) that try to model these objects AND THEIR METHODS, in a way that would ideally allow for an encapsulated, possibly language-independent Library/API.
The fact is: this problem is around long enough to allow for a "common accepted standard" to emerge, isn't it? In the other hand, most GIS software is very professionally oriented towards geospatial analyses, topographic and cartographic applications, while the typical trip-logging and trip-planning applications seem to be more consumer-hobbyist oriented, which might explain the quite disperse way the different projects/apps treat and model the problem.
Thus considering everything said, the question is: Is there, at present or being planned, a standard way to model canonicaly, in an Object-Oriented way, the most used GPS/Tracklog entities and their canonical attributes and methods?
There is the GPX schema and it is very close to what I imagine, but it only contains objects and attributes, not methods.
Any information will be very much appreciated, thanks!!
As far as I know, there is no standard library, interface, or even set of established best practices when it comes to storing/manipulating/processing "route" data. We have put a lot of effort into these problems at Ride with GPS and I know the same could be said by the other sites that solve related problems. I wish there was a standard, and would love to work with someone on one.
GPX is OK and appears to be a sort-of standard... at least until you start processing GPX files and discover everyone has simultaneously added their own custom extensions to the format to deal with data like heart rate, cadence, power, etc. Also, there isn't a standard way of associating a route point with a track point. Your "bread crumb trail" of the route is represented as a series of trkpt elements, and course points (e.g. "turn left onto 4th street") are represented in a separate series of rtept elements. Ideally you want to associate a given course point with a specific track point, rather than just giving the course point a latitude and longitude. If your path does several loops over the same streets, it can introduce some ambiguity in where the course points should be attached along the route.
KML and Garmin's TCX format are similar to GPX, with their own pros and cons. In the end these formats really only serve the purpose of transferring the data between programs. They do not address the issue of how to represent the data in your program, or what type of operations can be performed on the data.
We store our track data as an array of objects, with keys corresponding to different attributes such as latitude, longitude, elevation, time from start, distance from start, speed, heart rate, etc. Additionally we store some metadata along the route to specify details about each section. When parsing our array of track points, we use this metadata to split a Route into a series of Segments. Segments can be split, joined, removed, attached, reversed, etc. They also encapsulate the method of trackpoint generation, whether that is by interpolating points along a straight line, or requesting a path representing directions between the endpoints. These methods allow a reasonably straightforward implementation of drag/drop editing and other common manipulations. The Route object can be used to handle operations involving multiple segments. One example is if you have a route composed of segments - some driving directions, straight lines, walking directions, whatever - and want to reverse the route. You can ask each segment to reverse itself, maintaining its settings in the process. At a higher level we use a Map class to wire up the interface, dispatch commands to the Route(s), and keep a series of snapshots or transition functions updated properly for sensible undo/redo support.
Route manipulation and generation is one of the goals. The others are aggregating summary statistics are structuring the data for efficient visualization/interaction. These problems have been solved to some degree by any system that will take in data and produce a line graph. Not exactly new territory here. One interesting characteristic of route data is that you will often have two variables to choose from for your x-axis: time from start, and distance from start. Both are monotonically increasing, and both offer useful but different interpretations of the data. Looking at the a graph of elevation with an x-axis of distance will show a bike ride going up and down a hill as symmetrical. Using an x-axis of time, the uphill portion is considerably wider. This isn't just about visualizing the data on a graph, it also translates to decisions you make when processing the data into summary statistics. Some weighted averages make sense to base off of time, some off of distance. The operations you end up wanting are min, max, weighted (based on your choice of independent var) average, the ability to filter points and perform a filtered min/max/avg (only use points where you were moving, ignore outliers, etc), different smoothing functions (to aid in calculating total elevation gain for example), a basic concept of map/reduce functionality (how much time did I spend between 20-30mph, etc), and fixed window moving averages that involve some interpolation. The latter is necessary if you want to identify your fastest 10 minutes, or 10 minutes of highest average heartrate, etc. Lastly, you're going to want an easy and efficient way to perform whatever calculations you're running on subsets of your trackpoints.
You can see an example of all of this in action here if you're interested: http://ridewithgps.com/trips/964148
The graph at the bottom can be moused over, drag-select to zoom in. The x-axis has a link to switch between distance/time. On the left sidebar at the bottom you'll see best 30 and 60 second efforts - those are done with fixed window moving averages with interpolation. On the right sidebar, click the "Metrics" tab. Drag-select to zoom in on a section on the graph, and you will see all of the metrics update to reflect your selection.
Happy to answer any questions, or work with anyone on some sort of standard or open implementation of some of these ideas.
This probably isn't quite the answer you were looking for but figured I would offer up some details about how we do things at Ride with GPS since we are not aware of any real standards like you seem to be looking for.
Thanks!
After some deeper research, I feel obligated, for the record and for the help of future people looking for this, to mention the pretty much exhaustive work on the subject done by two entities, sometimes working in conjunction: ISO and OGC.
From ISO (International Standards Organization), the "TC 211 - Geographic information/Geomatics" section pretty much contains it all.
From OGS (Open Geospatial Consortium), their Abstract Specifications are very extensive, being at the same time redundant and complimentary to ISO's.
I'm not sure it contains object methods related to the proposed application (gps track and waypoint analysis and manipulation), but for sure the core concepts contained in these documents is rather solid. UML is their schema representation of choice.
ISO 6709 "[...] specifies the representation of coordinates, including latitude and longitude, to be used in data interchange. It additionally specifies representation of horizontal point location using coordinate types other than latitude and longitude. It also specifies the representation of height and depth that can be associated with horizontal coordinates. Representation includes units of measure and coordinate order."
ISO 19107 "specifies conceptual schemas for describing the spatial characteristics of geographic features, and a set of spatial operations consistent with these schemas. It treats vector geometry and topology up to three dimensions. It defines standard spatial operations for use in access, query, management, processing, and data exchange of geographic information for spatial (geometric and topological) objects of up to three topological dimensions embedded in coordinate spaces of up to three axes."
If I find something new, I'll come back to edit this, including links when available.
We're building a GIS interface to display GPS track data, e.g. imagine the raw data set from a guy wandering around a neighborhood on a bike for an hour. A set of data like this with perhaps a new point recorded every 5 seconds, will be large and displaying it in a browser or a handheld device will be challenging. Also, displaying every single point is usually not necessary since a user can't visually resolve that much data anyway.
So for performance reasons we are looking for algorithms that are good at 'reducing' data like this so that the number of points being displayed is reduced significantly but in such a way that it doesn't risk data mis-interpretation. For example, if our fictional bike rider stops for a drink, we certainly don't want to draw 100 lat/lon points in a cluster around the 7-Eleven.
We are aware of clustering, which is good for when looking at a bunch of disconnected points, however what we need is something that applies to tracks as described above. Thanks.
A more scientific and perhaps more math heavy solution is to use the Ramer-Douglas-Peucker algorithm to generalize your path. I used it when I studied for my Master of Surveying so it's a proven thing. :-)
Giving your path and the minimum angle you can tolerate in your path, it simplifies the path by reducing the number of points.
Typically the best way of doing that is:
Determine the minimum number of screen pixels you want between GPS points displayed.
Determine the distance represented by each pixel in the current zoom level.
Multiply answer 1 by answer 2 to get the minimum distance between coordinates you want to display.
starting from the first coordinate in the journey path, read each next coordinate until you've reached the required minimum distance from the current point. Repeat.
I'm using GPS units and mobile computers to track individual pedestrians' travels. I'd like to in real time "clean" the incoming GPS signal to improve its accuracy. Also, after the fact, not necessarily in real time, I would like to "lock" individuals' GPS fixes to positions along a road network. Have any techniques, resources, algorithms, or existing software to suggest on either front?
A few things I am already considering in terms of signal cleaning:
- drop fixes for which num. of satellites = 0
- drop fixes for which speed is unnaturally high (say, 600 mph)
And in terms of "locking" to the street network (which I hear is called "map matching"):
- lock to the nearest network edge based on root mean squared error
- when fixes are far away from road network, highlight those points and allow user to use a GUI (OpenLayers in a Web browser, say) to drag, snap, and drop on to the road network
Thanks for your ideas!
I assume you want to "clean" your data to remove erroneous spikes caused by dodgy readings. This is a basic dsp process. There are several approaches you could take to this, it depends how clever you want it to be.
At a basic level yes, you can just look for really large figures, but what is a really large figure? Yeah 600mph is fast, but not if you're in concorde. Whilst you are looking for a value which is "out of the ordinary", you are effectively hard-coding "ordinary". A better approach is to examine past data to determine what "ordinary" is, and then look for deviations. You might want to consider calculating the variance of the data over a small local window and then see if the z-score of your current data is greater than some threshold, and if so, exclude it.
One note: you should use 3 as the minimum satellites, not 0. A GPS needs at least three sources to calculate a horizontal location. Every GPS I have used includes a status flag in the data stream; less than 3 satellites is reported as "bad" data in some way.
You should also consider "stationary" data. How will you handle the pedestrian standing still for some period of time? Perhaps waiting at a crosswalk or interacting with a street vendor?
Depending on what you plan to do with the data, you may need to supress those extra data points or average them into a single point or location.
You mention this is for pedestrian tracking, but you also mention a road network. Pedestrians can travel a lot of places where a car cannot, and, indeed, which probably are not going to be on any map you find of a "road network". Most road maps don't have things like walking paths in parks, hiking trails, and so forth. Don't assume that "off the road network" means the GPS isn't getting an accurate fix.
In addition to Andrew's comments, you may also want to consider interference factors such as multipath, and how they are affected in your incoming GPS data stream, e.g. HDOPs in the GSA line of NMEA0183. In my own GPS controller software, I allow user specified rejection criteria against a range of QA related parameters.
I also tend to work on a moving window principle in this regard, where you can consider rejecting data that represents a spike based on surrounding data in the same window.
Read the posfix to see if the signal is valid (somewhere in the $GPGGA sentence if you parse raw NMEA strings). If it's 0, ignore the message.
Besides that you could look at the combination of HDOP and the number of satellites if you really need to be sure that the signal is very accurate, but in normal situations that shouldn't be necessary.
Of course it doesn't hurt to do some sanity checks on GPS signals:
latitude between -90..90;
longitude between -180..180 (or E..W, N..S, 0..90 and 0..180 if you're reading raw NMEA strings);
speed between 0 and 255 (for normal cars);
distance to previous measurement matches (based on lat/lon) matches roughly with the indicated speed;
timedifference with system time not larger than x (unless the system clock cannot be trusted or relies on GPS synchronisation :-) );
To do map matching, you basically iterate through your road segments, and check which segment is the most likely for your current position, direction, speed and possibly previous gps measurements and matches.
If you're not doing a realtime application, or if a delay in feedback is acceptable, you can even look into the 'future' to see which segment is the most likely.
Doing all that properly is an art by itself, and this space here is too short to go into it deeply.
It's often difficult to decide with 100% confidence on which road segment somebody resides. For example, if there are 2 parallel roads that are equally close to the current position it's a matter of creative heuristics.