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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.
Current reality tree example. A CRT begins with a list of problems, known as undesirable effects (UDEs.) These are assumed to be symptoms of a deeper common cause. To take a somewhat frivolous example, a car owner may have the following UDEs: the car's engine will not start; the air conditioning is not working; the radio sounds distorted
The primary thinking processes, as codified by Goldratt and others: Current reality tree (CRT, similar to the current state map used by many organizations) — evaluates the network of cause-effect relations between the undesirable effects (UDE's, also known as gap elements) and helps to pinpoint the root cause(s) of most of the undesirable effects.
Theory of constraints (TOC) is an engineering management technique used to evaluate a manageable procedure, identifying the largest constraint (bottleneck) and strategizing to reduce task time and maximise profit. It assists in determining what to change, when to change it, and how to cause the change.
The project manager can trade between constraints. Changes in one constraint necessitate changes in others to compensate or quality will suffer. For example, a project can be completed faster by increasing budget or cutting scope. Similarly, increasing scope may require equivalent increases in budget and schedule.
In the scenario method, [1] [2] [3] a solution is obtained by only looking at a random sample of constraints (heuristic approach) called scenarios and a deeply-grounded theory tells the user how “robust” the corresponding solution is related to other constraints. This theory justifies the use of randomization in robust and chance ...
Optimal control theory is a branch of control theory that deals with finding a control for a ... Control problems usually include ancillary constraints. For example ...
If the objective function and all of the hard constraints are linear and some hard constraints are inequalities, then the problem is a linear programming problem. This can be solved by the simplex method , which usually works in polynomial time in the problem size but is not guaranteed to, or by interior point methods which are guaranteed to ...