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What are nonlinear programming problems?
When problems fit the general linear programming format but include nonlinear functions, they are referred to as nonlinear programming problems. TERM 2
What is difficult in nonlinear
programming?
DEFINITION 2 What is difficult in nonlinear programming is determining if a point is a local optima or the global optimum. TERM 3
compare and contrast the differences
between linear and nonlinear programming.
DEFINITION 3 The solution of nonlinear programming problems is different and considerably more complex than that of linear programming problems. A nonlinear programming model has the same general form as the linear programming model except that the objective function and/or the constraint(s) are nonlinear. TERM 4
What are global and local optima?
DEFINITION 4 g................. TERM 5
Profit function, Z
DEFINITION 5 Z = vp - cf - vcv
The greatest profit will occur at the point
where the profit curve is at its _____________.
highest. At that point the slope of the curve will equal zero. TERM 7
The slope of a curve at any point is _________
to the derivative of the curves function.
DEFINITION 7 equal TERM 8
Nonlinear Programming
Steps
DEFINITION 8 The derivative of our profit function: Given this derivative, the slope of the profit curve at its highest point. set equal to 0 Solving for p: Solving for volume: Solving for maximum total profit: TERM 9
An unconstrained optimization
model
DEFINITION 9 consists of a single nonlinear objective function and no constraints. TERM 10
A constrained optimization
model
DEFINITION 10 has one or more constraints.
Covariance
is a measure of correlation, may also be used to reflect risk (of not diversifying).
