What is Constraints: Definition and 216 Discussions

The theory of constraints (TOC) is a management paradigm that views any manageable system as being limited in achieving more of its goals by a very small number of constraints. There is always at least one constraint, and TOC uses a focusing process to identify the constraint and restructure the rest of the organization around it. TOC adopts the common idiom "a chain is no stronger than its weakest link". This means that processes, organizations, etc., are vulnerable because the weakest person or part can always damage or break them or at least adversely affect the outcome.

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  1. F

    Linear programming - incorrect constraints

    Hi, I have been struggling with Part 3 of this question for some time: Computico Limited, currently operating in the UK, assembles electronic components at its two factories, located at Manchester and London, and sells these components to three major customers. Next month the customers, in...
  2. E

    Gradient ascent with constraints

    Hi, I have a convex function F(x,y) that I want to optimize. Since, derivative of F does not closed form, I want to use gradient ascent. The problem is, I have constrains on x and y. I don't know how to incorporate this into gradient search. If there was a closed form, I would use Lagrange...
  3. B

    Fitting quadratic curve to three constraints

    This should be easy but I've not done this in years and I'm feeling dense: I need to fit a quadratic curve to three constraints, two of which are points, the third is an angle. I've found examples to do this but only if all three constraints are points, so if someone would kindly explain...
  4. F

    How to increase max frequency due to half cycle constraints

    I'm trying to design a synchronous logic that uses a negative edge flop to shift data out of a chip (as part of the IEEE1149.1 standard). The input to this negedge flop is muxed from a whole bunch of shift registers within the chip, and these registers are all on posedges. Ideally, if...
  5. R

    Variational calculus with bounded derivative constraints

    [SOLVED] Variational calculus with bounded derivative constraints After learning about the calculus of variations and optimal control for a bit this semester, I've decided to tackle a "simple" (in the words of my professor) problem meant to illustrate a simplified example of highway...
  6. baywax

    Exploring the Constraints of Nature Across Universes

    I had a look at a simulation of galactic populations in the universe from the Max Plank university and realized it looked a lot like a population of neurons. The same branching and clustering occurs in both cases... in fact I found this comparison of the two images on the net... here they are...
  7. O

    Constraints on metric coefficients in General Relativity (GR)

    My understanding is that in GR the way in which the components of the metric tensor can vary from location to location in spacetime is determined or constrained by a number of factors: (1) the choice of coordinates (a mathematical constraint); (2) the distribution of mass/energy (a physical...
  8. V

    What Is the Acceleration of Mass m1 on a Frictionless Table Connected to m2?

    Homework Statement In the figure, find an expression for the acceleration of m1 (assume that the table is frictionless). Homework Equations F=ma The Attempt at a Solution My biggest problem here is that I don't know what variables I am supposed to answer in (my homework is done on a...
  9. S

    Constraints in Hamilton's equations

    My question is about the constraints in Hamiltonian viewpoint. I mean, where the constraints are put into the Hamilton's equations. Constraints are usually studied in Lagrange's equations in textbooks (such as Jose and Goldstein). However, I couldn't find anything about constraints in...
  10. R

    Lagrange equations with constraints

    When we seek the extreaml value of the functional \Phi(\gamma) = \int_{t_0}^{t_1} L(x(t),\dot{x}(t),t)dt where x can be taken from the entire E^n then we come to the well-known Lagrange equations. Now when we are given a constraint, that x \in M, where M is a differentiable manifold and when...
  11. L

    How can the total horizontal force on a rolling ball be shown to be zero?

    How can I show that when a ball is rolling without slipping on a horizontal plane, the total horizontal force on the ball must be zero? I guess I should consider the ball as a rigid body and combine the equations describing the rotation with the rolling constraints, but how? Can someone give...
  12. Chronos

    Observational constraints on quarks in neutron stars

    I was intrigued by this paper, and apparent implications for Smolin's cosmic natural selection [CNS] conjecture. http://arxiv.org/abs/astro-ph/0609644 Observational constraints on quarks in neutron stars Authors: Pan Nana, Zheng Xiaoping Comments: 16 pages,6 figures We estimate the...
  13. L

    Optimization With Inequality Constraints:

    Hi all, I'm having trouble with the following problem: It was given as a word problem from which to infer the mathematics but basically it is this: Maximize: f(x,y,z,t,w)= ln((y^2-x^2)(z^2-t^2)*w^3)+.8x-1.2y-20z/17+14t/17-w^3/(pi^3) Subject to the constraints: 0<= .5x+y+3z+3y+2.5w<+30...
  14. marcus

    Infinite number of Hamiltonian constraints

    http://www.arxiv.org/abs/gr-qc/0510011 "Recently the Master Constraint Programme (MCP) for Loop Quantum Gravity (LQG) was launched which replaces the infinite number of Hamiltonian constraints by a single Master constraint. The MCP is designed to overcome the complications associated with the...
  15. Evo

    Cultural constraints on cognition?

    Marcus, you mentioned an interest in linguistics. I wonder what your neighbor would think about this. I have been interested for some time in tribal cultures in South America and New Guinea. This tribe, the Piraha, is the most unusual I have come across. I'd like to know what you and...
  16. P

    3D graphics: finding optimal view of a scene with constraints

    Pardon me if this should go elsewhere, but it seems like a problem with a linear algebra solution. I have a series of PDB files from a molecular dynamics simulation of modified DNA strands. I use the program Pymol (http://www.pymol.org) to visualize them as a "movie." But now I want to make a...
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