Question: What Is Decision Variable?

What is decision variables and objective function?

Decision variables: variables that represent decisions to be made.


Objective function: function of the decision variables to be maximized or minimized.


What are the three types of inputs common to decision models?

The three types of inputs common to decision models are: Data, uncontrollable variables, and decision variables.

How many decision variables are allowed in a linear program?

What we have just formulated is called a linear program. In this example, it has two decision variables, xr and xe, an objective function, 5 xr + 7 xe, and a set of four constraints.

What is a decision variable in linear programming?

Let us define some terminologies used in Linear Programming using the above example. Decision Variables: The decision variables are the variables that will decide my output. They represent my ultimate solution. To solve any problem, we first need to identify the decision variables.

What is a decision variable in Excel?

Solver works with a group of cells, called decision variables or simply variable cells that are used in computing the formulas in the objective and constraint cells. Solver adjusts the values in the decision variable cells to satisfy the limits on constraint cells and produce the result you want for the objective cell.

What is the difference between feasible solution and basic feasible solution?

Degenerate basic feasible solution: A basic feasible solution where one or more of the basic variables is zero. Discrete Variable: A decision variable that can only take integer values. Feasible Solution: A solution that satisfies all the constraints.

What is uncontrollable variable?

a characteristic factor that is not regulated or measured by the investigator during an experiment or study, so that it is not the same for all participants in the research.

What are the the assumptions of linear programming problem?

A problem can be realistically represented as a linear program if the following assumptions hold: The constraints and objective function are linear. … Linearity also requires that the effects of the value of each variable on the values of the objective function and the constraints are additive.

How do you find the decision variable?

Decision variables describe the quantities that the decision makers would like to determine. They are the unknowns of a mathematical programming model. Typically we will determine their optimum values with an optimization method. In a general model, decision variables are given algebraic designations such as .

What is the difference between a parameter and a variable?

There is a clear difference between variables and parameters. A variable represents a model state, and may change during simulation. A parameter is commonly used to describe objects statically. A parameter is normally a constant in a single simulation, and is changed only when you need to adjust your model behavior.

How many decision variables are there in a transportation problem?

Note that the number of variables for the standard transportation problem is the number of origins times the number of destinations. For this problem, there are two origins and three destinations which gives 2 times 3 or 6 decision variables.

What is feasible solution in LPP?

A feasible solution is a set of values for the decision variables that satisfies all of the constraints in an optimization problem. … A local optimal solution is one where there is no other feasible solution “in the vicinity” with a better objective function value.

What is basic variable in LPP?

So, the basic variables can be defined as the m variables which can take any value other than zero. Moreover, if the variables satisfy the non-negativity condition of the LP model, the basic solution created by them is called the basic feasible solution. … The values of the non-basic variables are set to be zero.

Are decision variables controllable?

A decision is made when a value is specified for a decision variable. Decision variables are sometimes called controllable variables because they are under the control of the decision maker. … The time span may be omitted if the problem calls for a one-time or single-period decision.

What is optimal & feasible solution?

A solution (set of values for the decision variables) for which all of the constraints in the Solver model are satisfied is called a feasible solution. … An optimal solution is a feasible solution where the objective function reaches its maximum (or minimum) value – for example, the most profit or the least cost.