Sentence examples for condition for the optimality from inspiring English sources

A necessary condition for the optimality of a given design is established.

(2) To present a necessary and sufficient condition for the optimality of the generalized best-in greedy algorithm.

The maximum principle is to find a necessary condition for the optimality of the control (bar {u}).

We derive a necessary and sufficient condition for the optimality of beamforming in the multi-BS cooperation systems.

Since for all is concave with respect to and one has Using hypothesis (iii) with gives and using hypothesis (iii), the first order necessary condition for the optimality of is Thus one has.

The Kuhn Tucker condition for the optimality of a power allocation is as follows [14]: frac{{partial {cal L}}}{{partial {p_{k,j}}}} = left{ begin{array}{ll} = 0, & if{kern 6pt} {p_{k,j}} > 0 le 0, & if{kern 6pt} {p_{k,j}} = 0 end{array} right.

Necessary conditions for the optimality control of those systems are established.

The periodic operation of CSTR with a coil or a jacket for controlling the temperature is investigated with aid of the necessary conditions for the optimality of the totally singular control.

Several useful properties, such as, the computational complexity of the sequencing problem, necessary and sufficient conditions that a conveyor stoppage occurs, lower and upper bounds of the objective function, and sufficient conditions for the optimality of a solution, are characterized.

As in the Rayleigh-Ritz method, the necessary conditions for the optimality of the performance index are frac{partial J_{N}}{partial c_{0}}=0, qquad frac{partial J_{N}}{partial c_{1}}=0,qquad ldots, qquad frac{partial J_{N}}{partial c_{N}}=0.

We derive the necessary and sufficient conditions for achieving the optimality of the optimization problem and design a distributed gradient algorithm accordingly.