such that the closed loop system is asymptotically stable, [J.sup.*] is the desired

cost function, the semi definite positive matrices Q and R are chosen using trial/error method [17].

propose a method based on a

cost function to optimize video dehazing that can reduce the loss of information as much as possible while increasing the contrast of the image [24].

This study estimates the coefficients of a translog

cost function to determine which factors contribute to economies of scale and their degree of contribution.

The

cost function for the clean sector is [C.sub.c]([y.sub.c]) with [C'.sub.c] > 0 and [C".sub.c] > 0.

It allows for calculations of the gradients of the

cost function with respect to various input parameters, which incorporate all physical processes included in the governing model, to obtain the minimization of the

cost function.

According to Lagrange multiplier method, the first-order derivatives of the Lagrange function should equal zero when the minimum of the

cost function is got,

Moreover, in [12-14], a minimum snap

cost function was designed to generate smooth trajectory while satisfying a sequence of consecutive waypoints.

In this paper, we use the steepest descent method [18] to find the optimal value [sigma] that minimizes the

cost function [[GAMMA].sub.[alpha]] ([sigma]).

Our contribution in this research is severalfold: We estimate a

cost function for local public health services with a model grounded in economic theory of the production process where inputs are translated into outputs; we consider separate estimates of economies of scale and scope for several categories of environmental inspections; and we leverage a comprehensive data set that we compile from various sources covering all 74 LHJs in Connecticut, annually from 2005 to 2012.

So in the selection phase, a

cost function is built and an optimal path or trajectory that minimizes the cost is selected.

Cost function of a resource is convex, strictly increasing and non-constant.

Part 1 illustrates the estimation of a simple (i.e., one-variable) linear

cost function using two different methods in Excel: (1) a chart and its related functionality, and (2) the Regression analysis tool in the Analysis ToolPak.