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	Optimum Health -- Recommendations and Resources (Site not responding. Last check: 2007-10-06)
		The locality of the optimum is dependent on the neighborhood structure as defined by the metaheuristic that is used for optimizing the solution.
		The concept of a local optimum implies that the domain is a metric space or topological space, in order that the notion of "neighborhood" should be meaningful.
		Optimum population is where the amount of resources available in a country is equal to the country's population, so there are enough resources to maintain its population.
	www.becomingapediatrician.com /health/108/optimum-health.html (547 words)

	Structure of Intelligence: Chapter 2 - Optimization
		A local optimum is only better than those things which are very similar to it.
		The first key concept is that the search for an optimum is to be conducted on a finite number of "levels", each one determined by a certain characteristic distance.
		Once he finds a block-level optimum, he should then take a rough survey of the town in which the block sits, and make a guess as to which areas will be best (say by the Monte Carlo method).
	www.goertzel.org /books/intel/chapter_two.html (3180 words)

	CSE 150 Lecture Notes, January 27, 2004
		A strict local optimum is a state such that all its neighbors have strictly worse h.
		Note that a global optimum may be a plateau and therefore not a strict local optimum.
		The general local search algorithm, and GSAT in particular, do not automatically get stuck on plateaus or local optima, because they always take a step away from the current state, even if the step is not an improvement.
	www-cse.ucsd.edu /users/elkan/150winter04/jan27.html (1321 words)

	The diversification-bias compromise (D-B plots)
		When a local search component is started, new configurations are obtained at each iteration until the first local optimum is encountered, because the number of satisfied clauses increases by at least one.
		In fact, if the local optimum is strict, the application of a move will worsen the f value, and an additional move could be selected to bring the trajectory back to the starting local optimum.
		Even if the local optimum is not strict (plateau regions are typical for MAX-SAT) there is no guarantee that a simple local search component will not produce a localized trajectory, for example such that its maximum Hamming distance from the first local optimum encountered is bounded by a value much less than n.
	www.jea.acm.org /ARTICLES/Vol2Nbr2/node12.html (1507 words)

	Welcome to Local Access Communications (Site not responding. Last check: 2007-10-06)
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	home.localaccess.com /policy.php (1759 words)

	GA - TSP
		The combination of local search heuristics and genetic algorithms has been shown to be an effective approach for finding near-optimum solutions to tsp.
		Also the processing cost of doing the local exploration was considerable, adding to the time taken by the ga by 30-40%.
		The optimum is known to be 42029, and this ga is still at twice that, but it continues to make steady progress.
	www.cse.unr.edu /~miles/tsp/tsp.html (894 words)

	Local Steiner Improvement
		Local improvement algorithms involve sequences of small changes to some initial feasible solution which lead (one hopes) to an optimum solution.
		One reason that these algorithms work so well is that a local optimum within a certain radius of neighborhoods is found in each of the repeat loops.
		At the core of the local improvement algorithm is the transformation of a tree into its most attractive neighbor.
	www.cs.engr.uky.edu /~lewis/research/Papers/Steiner-Local/local.html (4174 words)

	Chapter6
		However, the property of quadratic termination to the optimum in a predetermined number of steps is applicable to quadratic functions only; and a stopping criterion has to be specified for general nonlinear functions.
		Then when a failure is encountered, i.e., a value of the economic model is less than the previous one, the pattern is said to be destroyed; and local explorations are performed to establish a new pattern of improved values of the economic model.
		To begin, local explorations are performed by moving in the positive coordinate axis direction first (open circles indicate failures; and solid circle indicate successes).
	www.mpri.lsu.edu /textbook/Chapter6-a.htm (5387 words)

	[No title]
		Since our final solution is a local optimum, none of these swaps could possibly improve the cost of the solution.
		Since each optimum center o appears in exactly one swap, the sum of OPT costs in the first summation is just the optimum solution, and the sum of OUR costs is just the cost of our solution.
		The optimum solution uses the 'super-node' along with all the clients which are not close to the super-node, and has cost (k+1)/2.
	www.cs.ucla.edu /classes/winter04/cs280CO/lesson13.txt (1308 words)

	A strategic assessment of warm-water fish farming potential in Africa
		Inputs at an optimum level are on 22% of the area and at a suitable level on 33% of the area.
		Optimum and suitably textured soils occur in many of the areas where the other physical factors are also favourable.
		A look at local market potential together with inputs for subsistence fish farming indicated that large parts of central equatorial Africa are marginal or suitable, but much of the area north and south is optimum, interspersed with patches of suitable areas (Fig.
	www.fao.org /DOCREP/005/V4740E/V4740E03.htm (2276 words)

	RIPS 2002 Project on Local Search - Background and Topics
		Every local optimum (under a suitably defined neighborhood move) is a vertex.
		By "adjacent" we mean that a sequence of neighborhood moves leads from one local optimum to the other without passing through any other basins of attraction, i.e., configurations where steepest descent would bring us to another local optimum.
		Local search heuristics constitute a branch of simulation whose performance remains poorly understood from a theoretical standpoint.
	www.c3.lanl.gov /~percus/Research/RIPS/details.html (1303 words)

	Maxima and minima - Wikipedia, the free encyclopedia
		In order to be able to define local maxima and local minima, the function needs to take real values, and the concept of neighborhood must be defined on the domain of the function.
		One refers to a local maximum/minimum as to a local extremum (or local optimum), and to a global maximum/minimum as to a global extremum (or global optimum).
		For twice-differentiable functions in one variable, a simple technique for finding local maxima and minima is to look for stationary points, which are points where the first derivative is zero.
	en.wikipedia.org /wiki/Local_minimum (681 words)

	[No title]
		A global optimum is a node whose value is greater than or equal to that of every node in the graph.
		A global optimum is always a local optimum, but a local optimum need not be global.
		Let P denote the Markov transition matrix of an unbiased random walk on a graph G. An eigenfunction of P with eigenvalue lambda assigns values to the vertices of G such that the average of the values of the neighbors of a node v is equal to lambda times the value of v.
	zoo.cs.yale.edu /classes/cs490/97-98a/97-98a/seitz (284 words)

	local optimum (Site not responding. Last check: 2007-10-06)
		Definition: A solution to a problem that is better than all other solutions that are slightly different, but worse than the global optimum.
		Note: Some search methods may get trapped in a local optimum and miss the global optimum.
		Paul E. Black, "local optimum", 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/localoptimum.html (97 words)

	Other things provided by local weighted models (Site not responding. Last check: 2007-10-06)
		In this section we discuss predicting the distribution of future responses, estimating the probability that a local minima exists within a region of interest, and estimating the probability that the steepest gradient lies within a specified solid angle.
		Use locally weighted learning to determine the joint t distribution on the coefficients of a quadratic model in the center of the region of interest.
		An optimization routine may also wish to estimate the probability that the steepest gradient lies within a certain solid angle, or that the gradient in a particular direction is greater than or less than a certain value.
	www.cs.cmu.edu /~schneide/tut5/node35.html (609 words)

	1
		Gradient-based NLP solvers converge to the “nearest” local solution, and have no facilities for discrete variables, unless they are imbedded in a rounding heuristic or branch-and-bound method.
		L from starting more than once within the basin of attraction of any local optimum, so it plays the same role as the rule in the MLSL algorithm of Section 2, which does not start at a point if it is within a critical distance of a better point.
		When a local solution is found, it is stored in a linked list, ordered by its objective value, as is the euclidean distance between it and the starting point that led to it.
	www.utexas.edu /courses/lasdon/ijocmultistart5.htm (3869 words)

	[No title]
		It uses a local search algorithm at each iteration to search for the best solution in some subset of the neighborhood, which came from the best solution obtained at the last iteration.
		They are the local search procedure, the neighborhood structure, the tabu conditions, the aspiration conditions, and the stopping rule.
		However, the global optimum is not guaranteed by this method.
	courses.washington.edu /inde510/510/TabuSearch.doc (878 words)

	Non-oblivious local search
		Now, a different type of local search can be obtained by using a different objective function to direct the search, i.e., to select the best neighbor at each iteration.
		Local optima of the standard objective function f are not necessarily local optima of the different objective function.
		Theorems 7-8 of [22] state that the performance ratio for any oblivious local search algorithm with a d-neighborhood for MAX-2-SAT is 2/3 for any d = o(n), while non-oblivious local search with an 1-neighborhood achieves a performance ratio 3/4.
	www.jea.acm.org /TURING/Vol2Nbr2/node8.html (440 words)

	Optimization (Site not responding. Last check: 2007-10-06)
		The dose distribution is shaped to the geometry of the irradiated structures and allows better sparing of the sensitive organs and tissues while delivering conformal dose distribution to the target volume(s).
		For example, maximization of an objective function that does not reflect the goals of radiation therapy may produce a mathematical optimum that, nevertheless, is a clinical disaster.
		We have shown that the optimization problem has only one (global) optimum if the objective function and the constraints are both either concave or convex.
	gray.mgh.harvard.edu /new/research/Modeling/SampleProject_5.htm (1605 words)

	Optimization with an equality constraint: sufficient conditions for a local optimum (via CobWeb/3.1 ... (Site not responding. Last check: 2007-10-06)
		A sufficient condition for x* to be a local maximizer of F is that F
		) < 0 then (x, y) is a local* mimimizer of f subject to the constraint g(x, y) = c.
		We argued previously that if this problem has a solution, it is (3, 3).
	www.chass.toronto.edu.cob-web.org:8888 /~osborne/MathTutorial/MEL.HTM (376 words)

	CEF 1997: Global Optimization Methods for Estimating GARCH Models (Site not responding. Last check: 2007-10-06)
		When they do converge there is no guarantee that the result will be the global rather than a local optimum.
		The best current optimum may be a local rather than global optimum.
		These methods attempt to avoid being trapped near a local optimum by searching outside the current neighborhood with a defined probability.
	bucky.stanford.edu /cef97/abstracts/jerrell.html (339 words)

	LINDO Systems Inc :: NEWSLETTERS ARCHIVES :: Product Archives :: LINGO 8.0 and LINDO API 2.0 (Site not responding. Last check: 2007-10-06)
		Many nonlinear models are nonconvex (e.g., they have more than one local optimum) and, as a result, not well suited to traditional solution techniques that rely on local search procedures.
		Local search solvers are generally designed to search only until they have identified a local optimum.
		Rather than stopping after the first local optimum is found, the Global solver will search until the global optimum is confirmed.
	www.lindo.com /archives/product/lingoapif.html (1090 words)

	Approximate Local Search in Combinatorial Optimization
		Local search algorithms for combinatorial optimization problems are in general of
		If the neighborhood can be searched in polynomial time for a e-local optimum, we present an
		algorithm that produces an e-local optimum in time polynomial in the problem size and 1/e.
	www.mit.edu /~jorlin/papersfolder/ALS_abstract.html (122 words)

	A Method to Investigate Within-Field Variation of the Response of Combinable Crops to an Input -- Lark and Wheeler 95 ... (Site not responding. Last check: 2007-10-06)
		Because the local estimates of the parameters at neighboring
		The experimental crop was harvested with a Massey Fergusson
		Local optimum N rate at grid nodes across Bypass field.
	agron.scijournals.org /cgi/content/full/95/5/1093 (7734 words)

	Global optimum - Wikipedia, the free encyclopedia
		Polynomial of degree 4, on the right one finds a local optimum, on the left is the global optimum.
		In mathematics, a global optimum is a selection from a given domain which yields either the highest value or lowest value (depending on the objective), when a specific function is applied.
		defined on the real numbers, the global optimum occurs at x = 0, when f(x) = 2.
	en.wikipedia.org /wiki/Global_optimum (188 words)

	Refactoring Equals Reparametrization
		At some point, the system will appear to be in a local optimum such that we 'must' do a more profound change to the design in order to be able to continue to improve the system by NanoIncrements.
		Every time we see a local optimum coming up, we can do a NanoRefactorization, and then continue the walk against the next optimum using NanoIncrements.
		I just have to say that while the optimization analogy is suspect, GroupThink and an unconscious inertia could lead a group to feel that their local minimum is optimal.
	c2.com /cgi/wiki?RefactoringEqualsReparametrization (639 words)

	Simulated Annealing (Site not responding. Last check: 2007-10-06)
		One can think of the final state of a crystal as a local optimum: no small movement of the molecules can decrease the total energy content.
		Because molecules only move locally, the laws of physics only require that some local optimum be found.
		Our goal is to move to as low a level as possible, but maybe it is useful to move uphill once in a while.
	mat.gsia.cmu.edu /mstc/heurnote/node14.html (418 words)

	Approximate Local Search in Combinatorial Optimization
		Local search algorithms for combinatorial optimization problems are in general of pseudopolynomial running time and polynomial-time algorithms are often not known for finding locally optimal solutions for NP-hard optimization problems.
		We introduce the concept of epsilon-local optimality and show that an epsilon-local optimum can be identified in time polynomial in the problem size and 1/epsilon whenever the corresponding neighborhood can be searched in polynomial time, for epsilon > 0.
		If the neighborhood can be searched in polynomial time for a delta-local optimum, we present an algorithm that produces a (delta+epsilon)-local optimum in time polynomial in the problem size and 1/epsilon.
	ideas.repec.org /p/mit/sloanp/3539.html (307 words)

	Assumptions
		Models with non-differentiable functions may be submitted to CONOPT, but CONOPT will become less reliable and it may terminate in a point that is not a local optimum.
		The user must be familiar with the theory of local vs. global solutions and judge for himself.
		When models have multiple local optima or local minima for the sum of infeasibility objective them CONOPT may terminate in any of these points.
	www.conopt.com /Assumptions.htm (297 words)

	CSE 250A Lecture Notes, January 31, 2001
		One critical choice in designing a search algorithm, whether local or global, is how to define the moveset.
		A plateau is a state such that some of its neighbors have equal h, and the others have worse h.
		where each state has many neighbors, strict local optima tend to be rare compared to plateaus.
	www-cse.ucsd.edu /users/elkan/250A/jan31.html (1156 words)

	Exercises on sufficient conditions for a local optimum for a problem with an equality constraint (via CobWeb/3.1 ... (Site not responding. Last check: 2007-10-06)
		Exercises on sufficient conditions for a local optimum for a problem with an equality constraint (via CobWeb/3.1 planetlab2.cs.unc.edu)
		6.1.3 Exercises on sufficient conditions for a local optimum for a problem with an equality constraint
		find all the solutions of the first-order conditions and determine, if possible, whether each solution is a local maximizer or a local minimizer.
	www.economics.utoronto.ca.cob-web.org:8888 /osborne/MathTutorial/MELX1.HTM (57 words)

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