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	NationMaster - Encyclopedia: Traveling salesman 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.
		In May 2004, the traveling salesman problem of visiting all 24,978 cities in Sweden was solved: a tour of length approximately 72,500 kilometers was found and it was proven that no shorter tour exists.
		In March 2005, the traveling salesman problem of visiting all 33,810 points in a circuit board was solved using CONCORDE: a tour of length 66,048,945 units was found and it was proven that no shorter tour exists, the computation took approximately 15.7 CPU years.
	www.nationmaster.com /encyclopedia/Traveling-salesman-problem (3806 words)

	Bottleneck traveling salesman problem - Wikipedia, the free encyclopedia
		The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization.
		Euclidean bottleneck TSP, or planar bottleneck TSP, is the bottleneck TSP with the distance being the ordinary Euclidean distance.
		An example would be a salesperson traveling by train with a special ticket that is valid for any number of trips between two cities up to a certain distance.
	en.wikipedia.org /wiki/Bottleneck_traveling_salesman_problem (390 words)

	Bottleneck traveling salesman problem - Definition, explanation
		In an asymmetric bottleneck TSP, there are cases where the weight from node A to B is different from the weight from B to A (e.
		Euclidean bottleneck TSP, or planar bottleneck TSP, is the bottleneck TSP with the distance being the ordinary Euclidean distance.
		An example would be a salesperson traveling by train with a special ticket that is valid for any number of trips between two cities up to a certain distance.
	www.calsky.com /lexikon/en/txt/b/bo/bottleneck_traveling_salesman_problem.php (415 words)

	Travelling salesman problem - Wikipedia, the free encyclopedia
		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.
		In May 2004, the travelling salesman problem of visiting all 24,978 cities in Sweden was solved: a tour of length approximately 72,500 kilometers was found and it was proven that no shorter tour exists.
		In March 2005, the travelling salesman problem of visiting all 33,810 points in a circuit board was solved using CONCORDE: a tour of length 66,048,945 units was found and it was proven that no shorter tour exists, the computation took approximately 15.7 CPU years.
	en.wikipedia.org /wiki/Traveling_salesman_problem#Algorithms (2554 words)

	Insurance Salesman
		The insurance salesman Has a Birthday: Essays Celebrating the Fiftieth Anniversary of Arthur Miller's Death of a insurance salesman.' The bottleneck traveling insurance salesman finally confronts the shattered dreams of the longest edge.
		The insurance salesman Has a Birthday: Essays Celebrating the Fiftieth Anniversary of Arthur Miller's Death of a insurance salesman.' The bottleneck traveling insurance salesman finally confronts the shattered dreams of success and the decision problem version ("given the costs of travelling from one to the starting city does not increase.
		Birth Of A death of a salesman cliff note Miller's Death of a death of a salesman cliff note.' The bottleneck traveling death of a salesman cliff note problem (TSP).
	directmail.2vv1.com /insurancesalesman.html (1809 words)

	Death Salesman
		Documents include essays, articles, and fiction, which have created or explored the social expectations of a death salesman is a prominent illustration of a death salesman is a problem in discrete or combinatorial optimization.
		The tragedy of a death salesman The Greatest death salesman in the materialistic East.
		Heuristics Various approximation algorithms, including the emerging area of domination analysis of a death salesman Death of a death salesman Death of a death salesman This volume, which contains chapters written by reputable researchers, provides the state of the network is a major theme throughout the world, on the phone.
	leadsmortgage.2vv1.com /deathsalesman.html (1090 words)

	traveling salesman (Site not responding. Last check: 2007-11-01)
		Definition: Find a path through a weighted graph which starts and ends at the same vertex, includes every other vertex exactly once, and minimizes the total cost of edges.
		See also bottleneck traveling salesman, Hamiltonian cycle, optimization problem, Christofides algorithm, similar problems: all pairs shortest path, minimum spanning tree, vehicle routing problem.
		Paul E. Black, "traveling salesman", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.nist.gov /dads/HTML/travelingSalesman.html (297 words)

	Good Salesman
		M. Johnson, Solution of a good salesman.' The bottleneck traveling good salesman problem (bottleneck TSP) is a long-standing (since 1975) open problem to improve 1.5 to a smaller constant.
		In the general case, there is an algorithm that has a provable upper bound on the perimeter of a good salesman is a particular case of TSP algorithms, TSPLIB a library of sample instances of Euclidean TSP than on general instances.
		History Death of a sexually voracious bed good salesman whose life is dominated by his adventures with women opens in l962 as thirty-year-old Heinrich Hampel crosses the Berlin Wall leaving the West for East.
	directmail.2vv1.com /goodsalesman.html (579 words)

	American Mathematical Society :: Feature Column
		The salesman, who must travel by car, might want to route himself via his favorite cousin's hometown and perhaps take in an antiques show on the way, while the employer might want to have the salesman follow the cheapest route possible.
		It turns out that the traveling salesman problem is not only an important applied problem with many fascinating variants; it also has important ties to theoretical mathematics and computer science.
		Talamo, Algorithms for the on-line traveling salesman, Algorithmica, 29 (2001) 560-581.
	www.ams.org /featurecolumn/archive/tsp.html (5321 words)

	Traveling Salesman
		The traveling salesman problem or travelling salesman problem (TSP), also known as the traveling salesperson problem, is a problem in discrete or combinatorial optimization.
		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 once and then returns to the starting city?
		Colin M Davidson ---- :''How fast are the best known deterministic algorithms?'' ---- "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?" Shouldn't it be "...
	www.artistbooking.com /trips/207/traveling-salesman.html (938 words)

	Salesman - Traveling Salesman Problem -- From MathWorld (Site not responding. Last check: 2007-11-01)
		Death of a Salesman - Was Rafik Hariri's assassination a Syrian
		The traveling salesman problem or travelling salesman problem (TSP), also known as the A related problem is the Bottleneck traveling salesman problem
		Solution to the traveling salesman problem is implemented in Mathematica Skiena, SS "Traveling Salesman Problem." §8.5.4 in The Algorithm Design Manual.
	supersearching.com /?q=salesman (490 words)

	Traveling Salesman - Resources and Information
		The traveling salesman problem The traveling salesman problem, or TSP for short, is this: given a finite number of ``cities'' along with the cost of travel between each pair of them, find the...
		Traveling Salesman The Expert Salesman by Norman Rockwell Framed Artwork Traveling Salesman The Expert Salesman by Norman Rockwell Traveling Salesman The Expert Salesman by Norman Rockwell "Traveling...
		Traveling Salesman Joke There's a traveling salesman, on one fine day he stops by a large retail chain to peddle his wares.
	www.ubetraveling.com /travelingsalesman (1217 words)

	Traveling Salesman Problem (Site not responding. Last check: 2007-11-01)
		Imagine a traveling salesman who has to visit each of a given set of cities by car.
		Implementations: The world-record-setting traveling salesman program is by Applegate, Bixby, Chvatal, and Cook [ABCC95], which has solved instances as large as 7,397 vertices to optimality.
		Algorithm 608 [Wes83] of the Collected Algorithms of the ACM is a Fortran implementation of a heuristic for the quadratic assignment problem, a more general problem that includes the traveling salesman as a special case.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE175.HTM (1630 words)

	Seven Habits of Highly Effective Programmers
		There's no point in taking twice the time to write twice as much code that has to be maintained and debugged if the application performance is good enough, and in particular if that piece of code is not the bottleneck in the application.
		If you do need to optimize for speed or space in you application, attacking anything other than the bottleneck is a waste of time.
		But some of the engineers would run around excitedly saying "it's the traveling salesman problem!" every time they saw a problem that couldn't be solved in linear time, and in other cases we boasted of "linear-time" algorithms which probably meant linear-time most-of-the-time.
	www.technicat.com /writing/programming.html (4722 words)

	The Traveling Salesman Problem and its Variation (Site not responding. Last check: 2007-11-01)
		The travelling salesman problem (TSP) is perhaps the most well-known combinatorial optimization problem.
		The problem is to find the shortest route for a travelling salesman to set out from home, visit a set number of other cities and return home.
		TSP is a typically hard problem, but recent developments in polyhedral theory and branch-and-cut algebra have significantly increased the number of instances that can be solved to optimality.
	www.booknews.co.uk /Books/2532.htm (123 words)

	Traveling Salesman Travel Hotels & Tickets
		Computational evaluation of a transformation procedure for the symmetric generalized traveling salesman problem
		The travelling salesman problem 1 (TSP) is a problem in discrete or combinatorial...
		A related problem is the bottleneck traveling salesman problem...
	travel4u.camedwards.com /traveling-salesman.html (221 words)

	Perspectives of Monge Properties in Optimization - Burkard, Klinz, Rudolf (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		11 vertex traveling salesman problem that can be solved in O (context) - Park, case et al.
		4 Polynomially solvable cases of the traveling salesman proble..
		1 the role of bottleneck Monge matrices in combinatorial optim..
	citeseer.ist.psu.edu /71816.html (1874 words)

	Roadlink post your load, truck and freight.
		The word "street" was kept for roads that had been prepared to ease travel in some way (thus, many "Roman Roads" have the word "street" in their names whose origin is the Latin roadlink strata, given before the usage changed).
		In ancient times, transport by river was far easier and faster than travel by road, especially considering the cost of road construction and the difference in carrying capacity between carts and river barges - provided only that the rivers were navigable in the right places; availability of water transport also influenced settlement patterns.
		Today, roads are almost exclusively built to enable travel by car and other wheeled vehicles, and in most countries road transport is the most utilized way to move goods.
	www.matchtruckloads.com /roadlink.html (2398 words)

	Search Result (Site not responding. Last check: 2007-11-01)
		Gerard Sierksma: The Skeleton of the Symmetric Traveling Salesman Polytope.
		Gregory Gutin, Anders Yeo, Alexey Zverovich: Traveling salesman should not be greedy: domination analysis of greedy-type heuristics for the TSP.
		Michael B. Dillencourt: Traveling Salesman Cycles are not Always Subgraphs of Delaunay Triangulations or of Minimum Weight Triangulations.
	www.informatik.uni-trier.de /ley/dbbin/dblpquery.cgi?title=travel (1672 words)

	Foresight Update 41 Page 4
		Please keep sending these when they are only available on paper, but if you can find the same article on the web, it's better to post it directly to nanodot, thereby avoiding the bottleneck here at the office.
		In the first few chapters, they cover a number of ant behaviors and tasks, ranging from path optimization to resource and task allocation to structure building.
		These range in generality from simulated food-finding to solving traveling salesman problems.
	www.foresight.org /Updates/Update41/Update41.4.html (1620 words)

	A Linear Time Algorithm for the Bottleneck Biconnected Spanning Subgraph Problem - Manku (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		This improves the hitherto best-known solution, which has a running time of O(m+ n log n), where m and n are the number of edges and vertices of the graph.
		A linear time algorithm for the bottleneck biconnected spanning subgraph problem.
		1 The bottleneck traveling salesman problem: Algorithms and pr..
	citeseer.ist.psu.edu /manku96linear.html (418 words)

	Traveling (Site not responding. Last check: 2007-11-01)
		Traveling Buddies are stuffed animals that What to Eat in Spain the participating school communicate between each other.
		Finnish Tourist Board problem using a genetic algorithm A Java implementation Traveling with HIV -- AEGIS traveling.ch - travel information about travelling in switzerland Time Approximation Schemes for Euclidean Traveling Salesman and Bottleneck traveling salesman problem new information that was recently uploaded.
		Cyprus algorithm Traveling with HIV -- AEGIS This is all
	backpacker.aroudtheworld.net /traveling (1398 words)

	Stochastic Integer Programming Bibliography
		Random tours in the traveling salesman problem: analysis and application.
		A priori optimization of the probabilistic traveling salesman problem.
		The stochastic traveling salesman problem: finite size scaling and the cavity prediction.
	mally.eco.rug.nl /biblio/sip.html (3015 words)

	TravellingSalesmanProblem - GenCore - Confluence
		defines the travelling salesman problem, or TSP, like this
		A classical example is in printed circuit manufacturing – scheduling of a route of the drill machine to drill holes in a PCB.
		The problem has been shown to be NP-hard (more precisely, it is complete for the complexity class FPNP; see the function problem article), and the decision problem version ("given the costs and a number x, decide whether there is a roundtrip route cheaper than x") is NP-complete.
	docs.codehaus.org /display/GENCORE/TravellingSalesmanProblem (261 words)

	THE MAXIMUM SCATTER TRAVELING SALESMAN PROBLEM (Site not responding. Last check: 2007-11-01)
		The second part is the Introduction, which explains what the Maximum Scatter Traveling Salesman Problem is and why we should care about it.
		The Traveling Salesman Problem (TSP) is a classic NP-Complete problem.
		S. "Simplicity and hardness of the maximum traveling salesman problem under geometric distances", Proceedings of the 10th ACM-SIAM Symposium on Discrete Algorithms (SODA 99), 337 - 345, 1999.
	www.cs.caltech.edu /~elliottk/final_report (5280 words)

	IE 631 References (Site not responding. Last check: 2007-11-01)
		Karp, R.M. ``Probablilistic Analysis of Partitioning Algorithms for the Traveling Salesman Problem in the Plane,'' Math.
		Lin, S. and B.W. Kernighan [1973], ``An Effective Heuristic Algorithm for the Traveling Salesman Problem,'' Operations Research, 21, 498-516.
		Parker, R.G. and R.L. Rardin, [1984], ``Guaranteed Performance Heuristics for the Bottleneck Traveling Salesman Problem,'' O.R. Letters, 2, 269-272.
	palette.ecn.purdue.edu /~rardin/ie631/refs.html (845 words)

	bottleneck traveling salesman
		Definition: Find a tour where no edge is more costly than some (bottleneck) amount.
		HTML page formatted Mon Sep 11 09:46:01 2006.
		Paul E. Black, "bottleneck traveling salesman", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology.
	www.nist.gov /dads/HTML/bottleneckTravelingSales.html (83 words)

	Published Papers (Site not responding. Last check: 2007-11-01)
		AP Punnen, "On bottleneck assignment problem under categorization", Computers and Operations Research 31 (2004) 151-154.
		AP Punnen and S N Kabadi, "Domination Analysis of some heuristics for the asymmetric traveling salesman problem", Discrete Applied Mathematics 119 (2002) 117-128.
		F Glover and AP Punnen, "The travelling salesman problem: New solvable cases and linkages with the development of approximation algorithms" Journal of the Operational Research Society, 48 (1997) 502-510
	v5o5jotqkgfu3btr91t7w5fhzedjaoaz8igl.unbsj.ca /~punnen/publ.html (837 words)

	Amazon.ca: The Traveling Salesman Problem and Its Variations: Books: G. Gutin,A.P. Punnen (Site not responding. Last check: 2007-11-01)
		Amazon.ca: The Traveling Salesman Problem and Its Variations: Books: G. Gutin,A.P. Punnen
		This volume, which contains chapters written by reputable researchers, provides the state of the art in theory and algorithms for the traveling salesman problem (TSP).
		Appropriate as a reference work or as a main or supplemental textbook in graduate and senior undergraduate courses and projects.
	www.amazon.ca /exec/obidos/ASIN/1402006640 (313 words)

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