objective function is a function of some variables on which depends directly on achieving optimum.It can also act as a multiple of variables which characterize a particular object.We can say that, in fact, it shows how we have come in achieving its goals.
Examples of these features can be a calculation of the strength and weight of the structure, plant capacity, volume of production, the cost of transportation and other.
objective function allows you to answer a few questions:
- profitable or not this or that event;
- in the right direction is the movement;
- how true the choice is made, etc.
If we can not influence the function parameters, you can say that and do we can do nothing, except that only analyze it.But to be able to change something, there are usually changeable parameters functions.The main task - is to change those values for which the function will be optimal.
Target function can not always be introduced as a formula.This can be a table, for example.Conditions may also be in the form of multiple objective functions.For example, if you want to ensure maximum reliability, minimal cost and minimal material consumption.
Challenges optimization should be essential premise - an objective function.If we do not define it, then we can assume that there is no optimization.In other words, if there is no purpose, then there is no way to achieve it, and the more favorable terms.
Challenges for optimization are conditional and unconditional.The first type involves restrictions so that certain conditions in the problem statement.The second type is to find a maximum or minimum of the function with the existing parameters.Often, these tasks involve searching for the minimum.
in the classic sense of the optimization parameters are selected, in which the objective function satisfies the desired results.It can also be described as the process of selecting the best option possible.For example, to choose the best distribution of resources, the variant of construction, etc.
There is such a thing as partial optimization.It may occur for several reasons.For example:
- caught in the maximum number of point systems is limited (already installed a monopoly or oligopoly);
- there is no monopoly, but lack the resources (lack of skills in any competition);
- the absence of the maximum point, but rather "ignorance" of its (man dreams about a certain beautiful woman, but it is unknown whether there is such in nature), etc.
In conditions of market relations management sales and production activity of companies and enterprises the basis for decision-making is information about the market, and the validity of the decision is already checked when entering the market with the corresponding products or services.In this case, the starting point is the study of consumer demand.To find the solutions set a target consumption function.It shows the number of goods consumed and the degree of satisfaction of consumer needs, as well as the relationship between them.