1. Travelling Salesman Problem - Wikipedia, The Free Encyclopedia From Wikipedia, the free encyclopedia. (Redirected from Traveling salesman problem). Jump to navigation, search. If a salesman starts at point A, http://en.wikipedia.org/wiki/Traveling_salesman_problem

Travelling salesman problem From Wikipedia, the free encyclopedia (Redirected from Traveling salesman problem Jump to: navigation search If a salesman starts at point A, and if the distances between every pair of points are known, what is the shortest route which visits all points and returns to point A? The travelling salesman problem TSP ) is a problem in discrete or combinatorial optimization . It is a prominent illustration of a class of problems in computational complexity theory which are classified as NP-hard . Mathematical problems related to the travelling salesman problem were treated in the 1800s by the Irish mathematician Sir William Rowan Hamilton and by the British mathematician Thomas Kirkman . A discussion of the early work of Hamilton and Kirkman can be found in Graph Theory 1736-1936 The general form of the TSP appears to have been first studied by mathematicians during the 1930s in Vienna and at Harvard, notably by Karl Menger . The problem was later undertaken by Hassler Whitney and Merrill M. Flood at Princeton. A detailed treatment of the connection between Menger and Whitney as well as the growth in the study of TSP can be found in Alexander Schrijver 's 2005 paper "On the history of combinatorial optimization (till 1960)".

2. CiteULike: Tag Traveling_salesman_problem [1 Article] posted to tsp traveling_salesman_problem optimization marco_dorigo dorigo combinatorial_optimization ant_system ant_colony_optimization by vthakr on http://www.citeulike.org/tag/traveling_salesman_problem

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups Tag traveling_salesman_problem [1 article] Recent papers classified by the tag traveling_salesman_problem. The Ant System: Optimization by a colony of cooperating agents IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics , Vol. 26, No. 1. (1996), pp. 29-41. by Marco Dorigo , Vittorio Maniezzo , Alberto Colorni posted to tsp optimization dorigo by vthakr on 2007-04-11 06:00:17 as along with 2 people pkomkrit Note: You may cite this page as: http://www.citeulike.org/tag/traveling_salesman_problem RIS BibTeX RSS Related Tags Tags related to: traveling_salesman_problem Filter: dorigo optimization tsp CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. It helps undergraduates and postgraduates. People studying for PhDs or in postdoctoral (postdoc) positions. The service is similar in scope to EndNote or RefWorks or any other reference manager like BibTeX, but it is a social bookmarking service for scientists and humanities researchers.

3. Traveling Salesman Problem LinkedWords™ - Contextually Find And Manage Added April 6, 2006, 233 am Found in page http//www.linkedwords. com/computers/algorithms/traveling_salesman_problem.php - Main site http://www.linkedwords.com/computers/algorithms/traveling_salesman_problem.php

March 31, 2008 traveling salesman problem Web Users Web Publishers About Help Path: Home computers algorithms traveling salesman problem Page Tools Clustered InsideWeb Language Contextual Path (URL): http://www.linkedwords.com/computers/algorithms/traveling_salesman_problem.php Keyword LookUp: all keyword pages categories linked keyword pages only Choose Category Arts Brands Business Computers Games Health Home Local News / Media Recreation Reference Science Shopping Society Sports More Search Options: Search within this category only Search the web... Main Categories Arts Brands Business Computers ... Sports Page Tools: (RSS, Email, Print, etc..) Generate RSS Email to Friend / Colleague Printer Friendly Format Add to Favorites ... Make Home Page Change Language Default French German Spanish ... Help Us Translate Archives: Home July August September ... February traveling salesman problem This page contains listings contextually, grammatically and meaningfully related to the keyword/phrase '... traveling salesman problem ...'. If you have text in any page containing the keyword/phrase '...traveling salesman problem...'

4. Travelling Salesman Problem - Wikipedia, The Free Encyclopedia From Wikipedia, the free encyclopedia. (Redirected from Traveling salesman problem). Jump to navigation, search. It has been suggested that Wandering http://masters.donntu.edu.ua/2006/fvti/zaytsev/library/traveling_salesman_proble

var skin = 'monobook';var stylepath = '/skins-1.5'; Your continued donations keep Wikipedia running! Travelling salesman problem From Wikipedia, the free encyclopedia (Redirected from Traveling salesman problem Jump to: navigation search It has been suggested that Wandering salesman problem be merged into this article or section. ( Discuss The travelling salesman problem TSP ) is a problem in discrete or combinatorial optimization . It is a prominent illustration of a class of problems in computational complexity theory which are hard to solve. Contents Problem statement Computational complexity NP-hardness Algorithms ... edit Problem statement Given a number of cities and the costs of traveling from any city to any other city, what is the cheapest round-trip route that visits each city exactly once and then returns to the starting city? An equivalent formulation in terms of graph theory is: Given a complete weighted graph (where the vertices would represent the cities, the edges would represent the roads, and the weights would be the cost or distance of that road), find a Hamiltonian cycle with the least weight.

5. Online Dictionary - Over 2 Million References Online Dictionary. Chinese to English. English. to Chinese. to French. to German. to Italian. to Japanese. to Latin. to Russian. to Spanish. to Swedish http://www.online-dictionary.biz/english/chinese/vocabulary/reference/traveling_

var language=24; var from='english'; var to='chinese'; Online Dictionary Chinese to English English to Chinese ... French to English German to English to Japanese Italian to English Japanese to English to German Latin to English Russian to English ... Swedish to English If you can't find the translation you need, try our free translation Online dictionary - over 2 million references A B C D ... Z All content on this website is property of LocalTranslation unless stated otherwise. document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)'; document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)';

6. Traveling Salesman Problem - Wikipedia Traveling salesman problem. The traveling salesman problem (TSP), also known as the traveling salesperson problem, is a prominent illustration of a class of http://facetroughgemstones.com/wikipedia/tr/Traveling_salesman_problem.html

Office Supplies Buy Posters A-Z Products Website Advertising ... Traveling salesman problem The traveling salesman problem (TSP), also known as the traveling salesperson problem , is a prominent illustration of a class of problems in computational complexity theory . The problem can be stated as: Given a number of cities and the costs of travelling from one to the other, what is the cheapest roundtrip route that visits each city and then returns to the starting city? The most direct answer would be to try all the combinations and see which one is cheapest, but given that the number of combinations is N! (the factorial of the number of cities), this solution rapidly becomes impractical. How fast are the best known deterministic algorithms? The problem has been shown to be NP-hard , and the decision version of it ("given the costs and a number x , decide whether there is a roundtrip route cheaper than x ") is NP-complete The problem is of considerable practical importance, for example in printed circuit assembly automation, where holes or component locations play the part of cities. Various approximation algorithms, which "quickly" yield "good" solutions with "high" probability, have been devised. An approximative solution for 15,112 cities in Germany was found in 2001 by Princeton University scholars. The first algorithm used to solve the traveling salesman problem is the nearest neighbour algorithm , which is normally fairly close to the optimal route, and doesn't take too long to execute. Upper and lower bounds for the length of the optimal route can be found using the

7. The Forum intermediate nodes but not necessarily in order. http//en.wikipedia. org/wiki/traveling_salesman_problem HaJo. Your comment. Name. eMail. Subject http://c-evo.org/forum/2005q2/p-2423-3.html

Posted 30-Aug-05 14:56 by HaJo pathfinder : a grid of dimension 200 x 200, within this environment : you have upto 20 nodes ... the pathfinder must find the : shortest path from node#1 to node#20 ... passing all : intermediate nodes but not necessarily in order. http://en.wikipedia.org/wiki/Traveling_salesman_problem -HaJo Your comment Name eMail Subject pathfinder Text : : a grid of dimension 200 x 200, within this environment : : you have upto 20 nodes ... the pathfinder must find the : : shortest path from node#1 to node#20 ... passing all : : intermediate nodes but not necessarily in order. : : http://en.wikipedia.org/wiki/Traveling_salesman_problem : : -HaJo :

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Cockos Confederated Forums REAPER Forums REAPER lounge... PDA View Full Version : Day jobs nunyabizzness 01-28-2008, 08:53 AM Hey everybody, I've been a bit of a lurker here and less of a poster, so I'm trying to remedy that now. Basically, I'm starting a thread to find out what everybody does for a living here. I think for most of us the musicianship constitutes a hobby (well, that applies for me certainly). I personally work in the construction industry. The company I work for makes precast stone... Think decorative concrete in the shape of columns or window sills and decorative trim. It's basically a faux limestone look. How bout the rest of you folks? -Nunya Bizz 01-28-2008, 09:20 AM I work part-time (four hours a day) as a journalist at Sveriges Television, which is a public service network in Sweden. Right now I'm a reporter at a weekly program covering current affairs and religious issues. Regards, - Jonas Eriksson jamester 01-28-2008, 09:52 AM I'm a guitar instructor, but I also do some recording/mixing on the side. Mostly just helping out friends, or helping record demos for new bands and such. Youn 01-28-2008, 10:28 AM

9. 342F06:Traveling Salesman Problem - Classwiki is less than or equal to twice the minimal cost. Retrieved from http//153.42. 40.32/~cstaecker/classwiki/index.php/342F06traveling_salesman_problem http://153.42.40.32/~cstaecker/classwiki/index.php/342F06:Traveling_salesman_pro

342F06:Traveling salesman problem From Classwiki Jump to: navigation search A salesman starts at house A and needs to go to each of the three other houses, B, C, and D in the neighborhood and return to A in the shortest distance. How can we find this distance? One way to solve this problem would be to find all possible Hamilton circuits , calculate the distance traveled for each one, and choose the minimum value. However, this method proves tedious and inefficient as the difficulty grows factorially with the size of the graph, which is called factorial complexity . The difficulty depends on factorially. A better way to solve this problem is the Approximate Tour Construction edit An example and an interesting question The most "cost-efficient" circuit of the graph shown above (with its corresponding cost matrix) can be estimated using the Approximate Tour Construction (ATC) Method. For example, in class, we found the circuit , which has cost 26. An interesting question is: what difference would it make to start with a different vertex? To answer this, I tried it. I used the ATC, starting with every vertex, and including all the different ciruits that could be made within those starting points (because of vertices of equal "closeness" to the subcircuit). I came up with: So, the answer is: it makes a big difference what vertex you start with! If only there were some way to tell which one is best...

10. Traveling Salesman Problem - Indopedia, The Indological Knowledgebase Retrieved from http//www.indopedia.org/traveling_salesman_problem.html . This page has been accessed 2919 times. This page was last modified 2107, http://www.indopedia.org/Traveling_salesman_problem.html

Indopedia Main Page FORUM Help ... Log in The Indology CMS In other languages: Deutsch Categories Graph theory Optimization ... Wikipedia Article Traveling salesman problem ज्ञानकोश: - The Indological Knowledgebase The traveling salesman problem TSP ), also known as the traveling salesperson problem , is a problem in discrete or combinatorial optimization . It is a prominent illustration of a class of problems in computational complexity theory which are hard to solve. Contents showTocToggle("show","hide") 1 Problem statement 2 Computational complexity 3 NP-hardness 4 Algorithms ... edit Problem statement Given a number of cities and the costs of travelling from one to the other, what is the cheapest roundtrip route that visits each city once and then returns to the starting city? An equivalent formulation in terms of graph theory is: Find the Hamiltonian cycle with the least weight in a weighted graph It can be shown that the requirement of returning to the starting city does not change the computational complexity of the problem. A related problem is the Bottleneck traveling salesman problem (bottleneck TSP): Find the Hamiltonian cycle in a weighted graph with the minimal length of the longest edge The problem is of considerable practical importance, apart from evident transportation and logistics areas. A classic example is in

11. Traveling Salesman Problem - Wikipedia Retrieved from http//nostalgia.wikipedia.org/wiki/traveling_salesman_problem . This page was last modified 2304, 5 December 2001. http://nostalgia.wikipedia.org/wiki/Traveling_salesman_problem

Traveling salesman problem From Wikipedia HomePage Recent changes View source Page history ... Log in Special pages Double redirects Broken redirects Disambiguation pages Log in Preferences My watchlist Recent changes Upload file File list Gallery of new files User list Statistics Random page Orphaned pages Uncategorized pages Uncategorized categories Uncategorized files Uncategorized templates Unused categories Unused files Wanted pages Wanted categories Most linked to pages Most linked to categories Most linked-to templates Pages with the most categories Most linked to files Pages with the most revisions Pages with the fewest revisions Short pages Long pages New pages Oldest pages Dead-end pages Protected pages Protected titles All pages Prefix index List of blocked IP addresses and usernames User contributions What links here Book sources Categories Export pages Version System messages Logs MIME search Search for duplicate files List redirects Unused templates Random redirect Pages without language links File path Search List of Wikimedia wikis Expand templates CategoryTree Gadgets Parser diff test Cross-namespace links Wikimedia Board of Trustees election Search web links Printable version The traveling salesman problem is a prominent illustration of a class of problems in complexity theory . See Sharp-P An approximative solution for 15112 cities in Germany was found 2001 by the Princeton University.

12. Keyword: Traveling Salesman ProblemePrints@IISc - Open Access Archive Of IISc Re Keyword Traveling salesman problem. Chandran, Sunil L and Ram, Shankar L (2007) On the relationship between ATSP and the cycle cover problem. http://eprints.iisc.ernet.in/view/keyword/Traveling_salesman_problem.html

Home About Browse Search ... Help Keyword: Traveling salesman problem Chandran, Sunil L and Ram, Shankar L On the relationship between ATSP and the cycle cover problem Theoretical Computer Science pp. 218-228 Powered by EPrints Browsers at 800x600 resolution A service from NCSI

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14. Nabble - Re: NON Optimal Solution http//en.wikipedia.org/wiki/traveling_salesman_problem . org/wiki/traveling_salesman_problem Traveling Salesman Problem, Evolutionary http://www.nabble.com/Re:-NON-optimal-solution-p14762298.html

Nabble.setVar("skin",null); Nabble.page = 'forum.ViewPost'; Nabble.addCssRule(document.styleSheets[0],'.nabble a:link','color:'+document.linkColor); Nabble.addCssRule(document.styleSheets[0],'.nabble a:visited','color:'+document.vlinkColor); Nabble Software Math Software Nabble.userHeader(14350); Nabble.deleteCookie("query"); Nabble.deleteCookie("searchuser"); Nabble.deleteCookie("searchterms"); NON optimal solution Re: NON optimal solution document.write(Nabble.ratingStars(3)); by document.write(''); document.write(''); document.write(Nabble.formatDateLong(new Date(1200075387000))); :: Rate this Message: Reply to Author View in Thread - In , "William H. Patton" <pattonwh@...> wrote: [mailto: > s.com, "William H. Patton" <pattonwh@> > > Wikipedia clarifies the asymmetry and the reference to "infinity > > edgs" on the reply below to your question. http://en.wikipedia http://en.wikipedia.org/wiki/Traveling_salesman_problem > > > In my case, I set my variables corresponding to "choose the > > > infinity-edge" to zero manually, while creating the LP.

15. Math Lets Say, I Want To Calculate It In Less Than 10 Minutes BadElvis: Check Ou TRWBW, BadElvis check out http//en.wikipedia.org/wiki/traveling_salesman_problem it talks about approximate solutions. there are a lot of good ones http://ircarchive.info/math/2007/5/9/69.html

#math - Wed 9 May 2007 between 18:31 and 18:40 Page: Prev Next Last Day: Previous Next BadElvis lets say, i want to calculate it in less than 10 minutes TRWBW BadElvis: check out http://en.wikipedia.org/wiki/Traveling_salesman_problem it talks about approximate solutions. there are a lot of good ones whaleofconfusion you would need to use heuristics to decrease your search space BadElvis i read that whaleofconfusion don't listen to him, it has several significant differences from the travelling salesman problem BadElvis i think its kind of a tsp whaleofconfusion for one you aren't trying to go to all of the cities you are just trying to go to a certain number of them, as many as you can BadElvis yes i do whaleofconfusion and total path distance is irrelevant because each new square is 1 unit away from any square that is adjacent to it BadElvis yes whaleofconfusion so all paths that cover x squares are distance x tapas except for diagonal [if allowed] whaleofconfusion if you could find ONE potential hamilton path, you would be done, regardless of its cost, because you know its cost is the number of squares BadElvis yes, but i want as few double- and triple-visits as possible

16. : GECCO '06, Reformulation Of The Generation ... Holt, Rinehart and Winston, New York, 1976. 13. Wikipedia The free encyclopaedia, http//en.wikipedia.org/wiki/traveling_salesman_problem. http://portal.acm.org/citation.cfm?id=1143997.1144318&coll=GUIDE&dl=ACM&type=ser

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http://www.vimeo.com/shiffman/likes Vimeo / Videos shiffman likes http://50.media.vimeo.com/d1/5/56/84/portrait-5684945.jpg http://www.vimeo.com/shiffman/likes Thu, 27 Mar 2008 00:09:48 CDT http://www.vimeo.com/829474 Young Sang Cho Boys from Nowhere from Young Sang Cho on Vimeo by Young Sang Cho ITP Big Screens Show at IAC 2007 winter music : "I wrote this song for the girl Paris Hilton" Cast: Young Sang Cho http://www.vimeo.com/829474 Boys from Nowhere Young Sang Cho by Young Sang Cho ITP Big Screens Show at IAC 2007 winter music : "I wrote this song for the girl Paris Hilton" processing Wed, 19 Mar 2008 22:22:57 CDT http://www.vimeo.com/803781 Tommy Smith "On Playwriting" from Tommy Smith on Vimeo The first in a series of web videos commissioned by the New York Council of Poets and Playwrights (NYCPP). With Patricia Nelson. Music is Pachabel. Cast: Tommy Smith http://www.vimeo.com/803781 "On Playwriting" Tommy Smith The first in a series of web videos commissioned by the New York Council of Poets and Playwrights (NYCPP). With Patricia Nelson. Music is Pachabel. playwriting, Tommy Smith, The Habit

18. Muhammad Von Aurum's Encyclopedia Of Graph Theory - Traveling Salesman Problem CMSimple is a simple content management system for smart maintainance of small commercial or private sites. It is simple small - smart! http://www.cs.rit.edu/~maa2454/Graphs/?T:Traveling_Salesman_Problem

19. * Traveling Salesman Problem - (GIS): Definition traveling salesman problem This is a classic tour problem in which a hypothetical salesman must find the most efficient sequence of destinations in his http://en.mimi.hu/gis/traveling_salesman_problem.html

wr("What is what? Everything you always wanted to know.") Home Menu(0); pozicio('GIS','Traveling salesman problem') MimiF1("GIS",0); Traveling salesman problem InitAdv(0) traveling salesman problem This is a class ic tour problem in which a hypothetical salesman must find the most efficient sequence of destination s in his territory, stopping only once at each. InitAdv(1) The shortest path between two or more points* The solution to the traveling salesman problem TSP The identification of the closest facility The computation of origin destination distance matrices The allocation of service areas to a location See also: Route Interface Traverse Transit ... Tracing MimiF2("GIS",0); Topic: GIS

20. Traveling Salesman Problem | Traveling Salesman Problem News, Research And Curre Brightsurf Traveling Salesman Problem news and Traveling Salesman Problem current events, research and discoveries. http://www.brightsurf.com/search/r-a/Traveling_Salesman_Problem/1/Traveling_Sale

Brightsurf Science News The latest science news and science current events. Top Science News The top science news articles and science current events news from the past week. Add Brightsurf Science News to your Web Site Science Resources Earth Science Space Science Life Science Fields of Scientific Study ... Nanotechnology Articles Science RSS News Feeds Earth, Life and Space Science RSS News Feeds. Earth Science RSS News Space Science RSS News Life Science RSS News Fields of Scientific Study RSS ... Next Sort By: Page Views Date Computer solution to delivery problem With the gift-giving season almost upon us and increasing concerns about the environmental effects of all those deliveries and pickups, it is timely that researchers should turn their attention to the so-called Traveling Salesman Problem. view more Venous thrombosis after travel Traveling for more than 4 hours by air, car, bus or train is associated with an increased risk of venous thrombosis. view more UNH Researcher Uncovering Mysteries Of Memory By Studying Clever Bird Keeping track of one set of keys is difficult enough, but imagine having to remember the locations of thousands of sets of keys. Do you use landmarks to remember where you put them? Do you have a mental map of their locations? view more New findings contradict a prevailing belief about the inner ear A healthy ear emits soft sounds in response to the sounds that travel in. Detectable with sensitive microphones, these otoacoustic emissions help doctors test newborns' hearing. A deaf ear doesn't produce these echoes.

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