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Topic: Dual problem

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	14. Analyzing infeasible problems (Site not responding. Last check: 2007-10-30)
		However, a dual infeasible problem is not always unbounded as the example (14.10) documents because the problem is primal infeasible i.e.
		Due to the fact that the dual problem (14.37) is a linear optimization problem, we could essentially stop the discussion here, because all the theory, ideas, and methods we have developed for the primal infeasible case can be applied to analyze the infeasibility in the dual problem.
		Therefore, (14.49) is the homogenized dual problem i.e.
	www.mosek.com /products/4_0/tools/doc/html/tools/node16.html (2858 words)

	Dual problem - Wikipedia, the free encyclopedia
		In the linear case, in the primal problem, from each sub-optimal point that satisfies all the constraints, there is a direction or subspace of directions to move that increases the objective function.
		In the dual problem, the dual vector multiplies the constants that determine the positions of the constraints in the primary.
		Varying the dual vector in the dual problem is equivalent to revising the upper bounds in the primal problem.
	en.wikipedia.org /wiki/Dual_problem (792 words)

	Constraint satisfaction dual problem - Wikipedia, the free encyclopedia
		The dual problem is a reformulation of a constraint satisfaction problem expressing each constraint of the original problem as a variable.
		Dual problems only contain binary constraints, and are therefore solvable by algorithms tailored for such problems.
		In the dual problem, all constraints are binary.
	en.wikipedia.org /wiki/Constraint_satisfaction_dual_problem (1122 words)

	Dual Problem (Site not responding. Last check: 2007-10-30)
		to be a space of the same dimension such that each m-dimensional object in the primal space is represented by a (2-m)-dimensional object in the dual space.
		The dual of f is a point f
		An edge e of a polytope is a silhouette edge with respect to a viewpoint p iff the corresponding dual edge e
	www.cgl.uwaterloo.ca /~vma/silhouette/dual_problem.html (102 words)

	The New York Observer's MondoWeiss: The Dual Citizenship Problem, Cte'd (Site not responding. Last check: 2007-10-30)
		These people were talking about a real issue: the extent to which dual citizenship has allowed religious nutbags from this country with messianic visions to inflame the politics of the Middle East, then when things don't work out, just to come back here.
		The problem came up on Democracy Now yesterday in a forum on the (disgusting) fact that "the Israeli government has effectively frozen visitation and re-entry of foreign nationals of Palestinian origin to the West Bank and Gaza."
		Dual citizenship, if it is in the service of making it easier for nations to cooperate towards widely desirable goals, is a good thing -- trade and economic cooperation between Israel and the US helps all.
	mondoweiss.observer.com /2007/01/the-dual-citizenship-problem-cted.html (1461 words)

	Solving Dual Problem
		Of these, subgradient methods are commonly used to update the Lagrange multipliers (i.e., to maximize the dual function) because of their simplicity, the speed for computing a direction, and the global convergence property.
		The iterative resolution of the dual problem requires the dual function to be evaluated many times, and each function evaluation involves solving all the subproblems once (called one iteration).
		Because of the combinatorial nature of the original problem, the number of possible solutions of the relaxed problem and therefore the number of facets increases drastically as the problem size increases.
	www.engr.uconn.edu /msl/paper/jihua-india/node8.html (860 words)

	Addiction Treatment and Dual Diagnosis
		The terminology, dual diagnosis, is a term used to describe the coexistence of a drug/alcohol addiction and psychiatric disorder.
		How a person uses drugs/alcohol to cope with a psychiatric disorder is demonstrated in these examples; a person with a panic disorder using alcohol to calm the feelings or slow down the thought process and the person suffering from depression or major depression, using amphetamines or cocaine to provide them with motivation or energy.
		To avoid relapse, the dually diagnosed person must keep their disorder in check and take their prescribed medication and to avoid the deterioration of the psychiatric disorder the addict must not return to the use or abuse of drugs/alcohol.
	www.recoveryconnection.org /mental_health/dual_diagnosis.php (1023 words)

	Constrained, non-linear, derivative-free parallel optimization of continuous, high computing load, noisy objective ... (Site not responding. Last check: 2007-10-30)
		The Lagrange dual problem of a linear problem in inequality form
		The Lagrange dual of the LP 8.16 is to maximize
		The solution of this dual problem is thus equal to the solution of the primal problem.
	www.applied-mathematics.net /mythesis/node47.html (1434 words)

	Applying the simplex method to the dual problem (Site not responding. Last check: 2007-10-30)
		We will use the same sequence of dual simplex updates as previously, and apply the standard simplex method to the dual.
		We will rearrange the columns of the primal and dual simplex tableaus so that the identity matrix appears at the end, to make it obvious that the sequence of tableaus are duals to one another.
		These tableaus are optimal for the primal and dual problems.
	www.rpi.edu /~mitchj/handouts/dualsimplex/node2.html (121 words)

	Shadow Prices and Penalty Costs
		Then, it is clear that problem 1.5 is in symmetric primal form and that 1.6 is its symmetric dual.
		Thus 1.6 is the dual of 1.5 and 1.5 is the dual of 1.6.
		Thus the solution to problem 1.5 is that the mother pays a minimum of 57 cents for a serving of cereal that meets minimum daily requirements, as long as she buys 2.63 ounces of Snap and 6.32 ounces of Crackle.
	www.saintmarys.edu /~psmith/338act17.html (753 words)

	Results About the High Level Characteristics In Power Scheduling
		However, since the dual function is non-differentiable with many "ridges," the SGM may cause the multipliers to zigzag across ridges resulting slow convergence [4, 5].
		The RCBM and its implementation for solving the dual problem are presented in Section 3.
		The average dual cost is increased by $4,450 per case, and the average feasible cost is decreased by $10,600 per case.
	www.engr.uconn.edu /msl/paper/daoyuan-paper1/win97_r.htm (2968 words)

	Relic Forums - Dual Monitor Problem
		Problem is, I can scroll up, down and right, but not to the left where the other Monitor begins.
		I've found that the problem stops after you middle click and move the mouse around.
		When I'm running in windowed mode, i have no problem switching in between any of the windows, but when I run full screen my second monitor goes fl and only the primary is active.
	forums.relicnews.com /showthread.php?t=36368 (647 words)

	Results About the High Level Characteristics In Power Scheduling
		However, since the dual function is non-differentiable with many "ridges," the SGM may cause the multipliers to zigzag across ridges resulting slow convergence [4, 5].
		The RCBM and its implementation for solving the dual problem are presented in Section 3.
		The average dual cost is increased by $4,450 per case, and the average feasible cost is decreased by $10,600 per case.
	www.eng2.uconn.edu /msl/paper/daoyuan-paper1/win97_r.htm (2968 words)

	Egwald Operations Research - Linear Programming - Graphical Statement and Solutions
		The linear objective function and the linear constraints of primal and dual programs of the linear programming problem are related in a specific way.
		The feasible set of a linear programming problem is called a convex set, because the feasible set includes the line connecting any two points in the feasible set, (including points on the boundary of the feasible set).
		Mulitply the dual objective function by -1 to change it to a maximization problem; similarily change the primal objective function to a minimization problem.
	www.egwald.com /operationsresearch/lpgraphical.php (2084 words)

	Dual boot problem - Dev Shed (Site not responding. Last check: 2007-10-30)
		Usually, as far as I know, you need to install the older OS first, then the newer one, that means 2k then XP.
		Well, that may have been true for operating systems that didn't themselves provide the dual boot support and had to be installed first then integrated into the booting scheme, but if bolth operating systems provide dual-boot, then either one will do.
		The boot files for Windows 2000 or Windows NT 4.0 are not familiar with the registry that's in Windows XP, so when those boot files attempt to load, attempt to mount that registry, they display error messages.
	forums.devshed.com /windows-help-34/dual-boot-problem-50910.html (1139 words)

	DevHawk - Passion * Technology * Ruthless Competence
		In a nutshell, the Dual Schema problem is that you have to design and implement two separate versions of your persistent entities.
		The problem with the Rails approach is that defining a database schema requires a significant amount of skill and effort.
		It would be much better for the developer if they could define their persistent entity in code and slave the database schema to the object model instead of the other way around.
	devhawk.net /2006/03/28/The+Dual+Schema+Problem.aspx (1433 words)

	One glaring problem with dual boot systems on The uber geeks (Site not responding. Last check: 2007-10-30)
		Allowing their users to create a dual boot system, Apple has readied themselves to convert a number of switchers or dabblers to full time Mac users.
		The problem with dual boot systems, at least as it applies to my work and my colleagues, hasn’t seen much light amongst all the discussions I’ve read of Boot Camp.
		Since you asked so politely, the problem with dual boot systems is that they essentially kill all local (read: single computer) testing environments.
	theubergeeks.net /2006/06/06/problem-with-dual-boot (528 words)

	Prevention and Recovery of XP Dual Boot Problems
		This guide offers an explanation of why the refinements are beneficial and some workarounds to problems that may prevent the uninitiated from using the solution.
		It is important not to panic if and when this happens so you do not cause further problems or cause actual loss of data in the process of recovering from the error.
		The solution to this problem is very simple, but it may confuse people because most people will question why they are seeing strange values reported from their partition table in CHS format.
	www.redhat.com /archives/fedora-devel-list/2004-May/msg00908.html (1629 words)

	[No title] (Site not responding. Last check: 2007-10-30)
		Use the variables from the original problem as the slack variables in the dual problem.
		(The solution to the original problem is located in the bottom row of the final tableau in the columns of the slack variables.
		NOTE: The value of the objective function is both the max of the dual problem and the min of the objective function of the original problem.
	www.uwyo.edu /cvadnais/dual.doc (368 words)

	Dual Monitor Problem \| Gas Powered Garage
		I'm having a problem in the beta that is related to the fact that I have two monitors.
		Whenever I am playing the game, I am still able to move my cursor onto my secondary display, and if I click anything on my secondary, the game minimizes as if I had alt-tabbed out of it, which is kind of annoying.
		There is a gameplay option under Dual Monitor Screen Edge, and whichever I set it to, open or closed, I get the same problem.
	garage.gaspowered.com /?q=node/7410 (434 words)

	Problem with dual-screen setup (General technical issues)
		Did not have a problem with the taskbar, and I did not have to reapply the settings, but instead, the entire booting process took much longer than before.
		I've used dual monitors for the last year, both with my desktop, and on the road with my laptop.
		I haven't had that problem with the laptop, but it's really new so they probably fixed that.
	www.proz.com /topic/56836 (749 words)

	Dual Display problem - TechSpot Troubleshooting
		One problem is that i've just realised that because you hav a nvidia card and i have ati there may be different settings but check this out anyways:
		I had problems with the left monitor showing half and the right monitor showing the other half thing and it came out like your problem.
		The wallpaper on the left was the only problem as it would be shifted to the left but it has been fixed in the 52.16 drivers.
	www.techspot.com /vb/all/windows/t-6347-Dual-Display-problem.html (956 words)

	The Dual Problem of The Indubitably Constant Velocity of Light
		The Dual Problem of The Indubitably Constant Velocity of Light
		Therefore, all this trouble was needed to solve just one problem of the indubitably constant velocity of light.
		Nevertheless, on the way to the solution of this almost purely subjective problem a non-negligible objective consequence arose: light propagates by virtue of difference between individual photons.
	ww1.infosky.net /~milnesh/dual_problem.htm (1365 words)

	Computing.Net - Dual Mouse problem
		The problem might be because the scroll itself(physical thing) on the wireless mouse is "smooth" while on the Intellimouse it isn't.
		Windows has no problem with more than one mouse as long as they are connected by different types of connections - you can have all of them plugged in and use any one of them, one at a time.
		E.g two connected to USB are likely to have problems, unless one USB pointing device is emulating a different type of connection, which is rare.
	www.computing.net /windowsxp/wwwboard/forum/159303.html (815 words)

	ILOG CPLEX Performance Tuning for Linear Programs
		If the problem is primal degenerate, the dual simplex method may still work well; if the problem is dual degenerate, the primal simplex method may still work well; and if the problem is both primal and dual degenerate, the barrier method may work well.
		Still, if a problem is fundamentally ill conditioned, even the most stable methods may have trouble, either with the accuracy of the final solution or simply with the amount of time required to solve the problem.
		If your problem data is only accurate to a larger value, consider increasing the feasibility and optimality tolerance to the same level of accuracy as your data.
	www.ilog.com /products/optimization/info/lpperformance.cfm (752 words)

	Solving Dual Problem (Site not responding. Last check: 2007-10-30)
		This is achieved by accumulating and utilizing the subgradients of points within a neighborhood of the current iterate to find an -ascent direction, or to detect within of the dual optimum (-optimal).
		This thus hinders the applicability of the bundle method to problems of practical sizes.
		Recently, the Reduced Complexity Bundle Method (RCBM) (Tomastik and Luh, 1995) was developed to reduce the computation requirements of the conventional bundle method while maintaining the convergence characteristics and the capability to detect -optimal.
	www.engr.uconn.edu /msl/paper/jihua-cimat96/node6.html (191 words)

	CS525 Assignment 5 (Site not responding. Last check: 2007-10-30)
		(b) State an interpretation of this dual problem as an optimization problem for a purchaser of the resources of the dairy.
		Include a discussion of the constraints of the dual problem.
		(c) Solve the dual of the dairy problem (using the simplex method of your choice) and state the optimal values of the dual variables and the optimal value of the dual problem.
	www.cs.wisc.edu /~kuo-shun/hw505.htm (102 words)

	Dual problem perplexes GI docs - Gastroenterology and Liver Diseases Forum
		My first problem is I continue to suffer from billiary colic.
		The only solution to this problem I have found is to sleep with my chest at a 45 degree angle to the floor which my vagus nerve loves and my back hates, but I'm getting accustomed to it.
		the problem with SOD is that it is very hard to duplicate or reproduce the studies used to evaluate it: specifically, manometry of the bile duct is subject to many influences, including the surrounding anatomy, the exact location of the recording device, drugs the patient may be on or which are used during the procedure.
	www.medhelp.org /forums/gastro/messages/35530.html (1862 words)

	Another point of view on the FC2/WinXP dual-boot problem - O'Reilly ONLamp Blog
		In addition to that, it is noted in the bugzilla report that the cause of this bug seems to be a CHS geometry problem.
		The truth of the matter is, that almost none of the developers dual boot, and hence,no testing.
		Some have argued that the bug is not a problem since a dual boot configuration is a transitory configuration.
	www.oreillynet.com /onlamp/blog/2004/05/another_point_of_view_on_the_f.html (1313 words)

	Harry Pierson's DevHawk Weblog : The Dual Schema Problem (Site not responding. Last check: 2007-10-30)
		In a nutshell, the Dual Schema problem is that you have to design and implement two separate versions of your persistent entities.
		The problem with the Rails approach is that defining a database schema requires a significant amount of skill and effort.
		It would be much better for the developer if they could define their persistent entity in code and slave the database schema to the object model instead of the other way around.
	blogs.msdn.com /devhawk/archive/2006/03/28/563445.aspx (1055 words)

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