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 am using the FFD Algorithm in Optaplanner as a construction heuristic for my CVRP problem. I thought I understood the FFD-Alg from bin picking, but I don't understand the logic behind it when applied in OP on CVRP. So my thought was, it focuses on the demands (Sort cities in decreasing order, starting with the highest demand). To proof my assumption, I fixed the city coordinates to only one location, so the distance to the depot of all cities is the same. Then I changed the demands from big to small. But it doesn't take the cities in decrasing order in the result file.
The Input is: City 1: Demand 16, City 2: Demand 12, City 3: Demand 8, City 4: Demand 4,
City 5: Demand 2.
3 Vehicles with a capacity of 40 per vehicle.
What I thougt: V1<-[C1,C2,C3,C4], V2<-[C5]
What happened: V1<-[C5,C4,C3,C2], V2<-[C1]
Could anyone please explain me the theory of this? Also, I would like to know what happens the other way around, same capacities, but different locations per customer. I tried this too, but it also doesn't sort the cities beginning with the farthest one.
Thank you!
(braindump)
Unlike with non-VRP problems, the choice of "difficulty comparison" to determine the "Decreasing Difficulty" of "First Fit Decreasing", isn't always clear. I've done experiments with several forms - such as based on distance to depot, angle to depot, latitude, etc. You can find all those forms of difficulty comperators in the examples, usually TSP.
One common pitfall is to tweak the comperator before enabling Nearby Selection: tweak Nearby Selection first. If you're dealing with large datasets, an "angle to depo" comparator will behave much better, just because Nearby Selection and/or Paritioned Search aren't active yet. In any case, as always: you need to be using optaplanner-benchmark for this sort of work.
This being said, on a pure TSP use case, the First Fit Decreasing algorithm has worse results than the Nearest Neighbor algorithm (which is another construction heuristics for which we have limited support atm). Both require Local Search to improve further, of course. However, translating the Nearest Neighbor algorithm to VRP is difficult/ambiguous (to say the least): I was/am working on such a translation and I am calling it the Bouy algorithm (look for a class in the vrp example that starts with Bouy). It works, but it doesn't combine well with Nearby Selection yet IIRC.
Oh, and there's also the Clarke and Wright savings algorithm, which is great on small pure CVRP cases. But suffers from BigO (= scaling) problems on bigger datasets and it too becomes difficult/ambiguous when other constraints are added (such as time windows, skill req, lunch breaks, ...).
Long story short: the jury's still out on what's the best construction heuristic for real-world, advanced VRP cases. optaplanner-benchmark will help us there. This despite all the academic papers talking about their perfect CH for a simple form of VRP on small datasets...
How can we optimize Optaplanner to select the fastest route? See the highlighted point in the below image. It is taking the long route.
Note: Vehicles does not need to come back depot. I think i cannot use CVRPTW as arrivalAfterDueTimeAtDepot is a build-in hard constraint (and besides i do not have any time constraints).
How can we write a constraint to select the less capacity vehicle?
For example, A customer needs only 3 items and we have two vehicles with 4 and 9 capacities. Seems like Optaplanner is selecting the first vehicle from the order of input by default.
I presume it's taking the blue vehicle for the center of Bengaluru because the green in is already at full capacity.
Check what the score is (calculated through Solver.getScoreDirectorFactory()) if you manually put that location in the green trip and swap the vehicles of the green and blue trip. If it's worse (or breaks a hard constraint), then it's normal that OptaPlanner selects the other solution. In that case, either your score function has bug (or you realize don't want that solution at all). But if it has indeed a better score, OptaPlanner's <localSearch> (such as Late Acceptance) should find it (especially when scaling out because ironically local optima are a bigger problem when scaling down). You can try to add <subchainSwapMoveSelector> etc to escape local optima faster.
If you want to guide the search more (which is often not a good idea), you can define a planning value strength comparator to sort small vehicles before big vehicles and use the Construction Heuristic WEAKEST_FIT(_DECREASING).
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.
Sorry I know the question isnt as specific as it could be. I am currently working on a replenishment forecasting system for a clothing company (dont ask why it's in VBA). The module I am currently working on is distribution forecasts down to a size level. The idea is that the planners can forecast the number to sell, then can specify a ratio between the sizes.
In order to make the interface a bit nicer I was going to give them 4 options; Assess trend, manual entry, Poisson and Normal. The last two is where I am having an issue. Given a mean and SD I'd like to drop in a ratio (preferably as %s) between the different sizes. The number of the sizes can vary from 1 to ~30 so its going to need to be a calculation.
If anyone could point me towards a method I'd be etenaly greatfull - likewise if you have suggestions for a better method.
Cheers
For the sake of anyone searching this, whilst only a temporary solution I used probability mass functions to get ratios this allowed the user to modify the mean and SD and thus skew the curve as they wished. I could then use the ratios for my calculations. Poisson also worked with this method but turned out to be a slightly stupid idea in terms of choice.