constraint function

constraint function

[kən′strānt ‚fəŋk·shən]
(mathematics)
A function defining one of the prescribed conditions in a nonlinear programming problem.
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And gi(x)[less than or equal to]0 is the constraint function, p is the number of constrains.
In the uncertainty interval optimization, the optimal value of objective function is not unique but belong to a possible interval, so does the constraint function.
Further, Duffin and Peterson (1972) pointed out that each of those posynomial programs GP can be reformulated so that every constraint function becomes posy-/bi-nomial, including at most two posynomial terms, where posynomial programming--with posy-/mo-nomial objective and constraint functions--is synonymous with linear programming.
Therefore, the constraint function of artificial damping ratio is the difference function between the dimensionless dynamic stiffness coefficient of the undamped and damped unbounded medium.
In this paper, we propose an approximate algorithm based on membrane computing for constrained optimization problems: a membrane associates a constraint and the tentative solutions evolve according to the rules in the membrane and are evaluated by the constraint function value as the fitness; the sub-populations can communicate efficiently during the evolution process by making use of the structure of P systems and the communication mechanism among the membranes.
Rewriting the fuzzy linear programming (13) with the above inequalities, the extended operation of the product of the fuzzy numbers and variable x of the constraint function is given as:
In our proposed model, the constraint-handling method needs to calculate, for each cell (solution) regardless of the population to which it belongs, the following: 1) value of each constraint function, 2) sum of violation constraints (sum-res), it is a positive value determined by the addition of [[g.
The constraint function is the producer's cost constraint which is conventionally given as
Additionally, for the product mix to be feasible, the setup times and process times must be included in the same constraint function due to the resource-consuming nature of the setup activity.
Figure 2 illustrates the resulting reaction norm in the constraint function relating S to E.

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