Lecture 23
... Recall that most of the mathematical methods of OR may be placed into one of three categories – simulation, optimization, or pattern recognition. Also recall that within each of those categories we find two kind of models -deterministic and probabilistic (also called stochastic). The queueing mo ...
... Recall that most of the mathematical methods of OR may be placed into one of three categories – simulation, optimization, or pattern recognition. Also recall that within each of those categories we find two kind of models -deterministic and probabilistic (also called stochastic). The queueing mo ...
logarithmic equation
... An exponential equation is an equation containing one or more expressions that have a variable as an exponent. To solve exponential equations: • Try writing them so that the bases are all the same. • Take the logarithm of both ...
... An exponential equation is an equation containing one or more expressions that have a variable as an exponent. To solve exponential equations: • Try writing them so that the bases are all the same. • Take the logarithm of both ...
Nonlinear Root Finding and a Glimpse at Optimization
... The simplest root-finding method is the bisection method, which basically just performs a simple binary search. We begin by bracketing the root: this means finding two points x1 and x2 at which f (x) has different signs, so that we are guaranteed2 to have a root between x1 and x2 . Then we bisect th ...
... The simplest root-finding method is the bisection method, which basically just performs a simple binary search. We begin by bracketing the root: this means finding two points x1 and x2 at which f (x) has different signs, so that we are guaranteed2 to have a root between x1 and x2 . Then we bisect th ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.