Exploring Operations Research Concepts

What is operations research?

• Operations research is a discipline that applies analytical methods to improve decision-making.

• Operations research is a type of computer programming language.

• Operations research is a method for artistic design.

• Operations research is solely focused on financial analysis.

Name two common techniques used in operations research.

• Linear programming, Simulation

• Decision trees

• Queuing theory

• Game theory

What is linear programming?

• Linear programming is a method for optimizing a linear objective function subject to linear constraints.

• A technique for predicting future trends.

• A strategy for maximizing profits without constraints.

• A method for solving nonlinear equations.

Explain the concept of the objective function.

• The objective function is a method for calculating probabilities.

• The objective function is a mathematical expression that defines the goal of an optimization problem.

• The objective function is a graphical representation of data.

• The objective function is a type of constraint in optimization.

What is a constraint in the context of operations research?

• A constraint is a method to optimize solutions in operations research.

• A constraint is a variable that can change in operations research.

• A constraint is a goal that must be achieved in operations research.

• A constraint is a condition that limits the feasible solutions in operations research.

Define the term 'feasible region'.

• The feasible region is the set of all points that violate the constraints.

• The feasible region is the set of all points that satisfy the constraints of an optimization problem.

• The feasible region is the optimal solution to an optimization problem.

• The feasible region is the area where no constraints are met.

What is the simplex method used for?

• The simplex method is used for solving linear programming problems.

• To analyze time series data.

• To calculate the area of geometric shapes.

• For optimizing database queries.

Describe the difference between deterministic and stochastic models.

• Deterministic models yield consistent results, while stochastic models account for randomness and variability.

• Deterministic models are used exclusively in natural sciences while stochastic models are used in social sciences.

• Stochastic models provide exact predictions without any variability.

• Deterministic models are always more complex than stochastic models.

What role does sensitivity analysis play in operations research?

• Sensitivity analysis determines the feasibility of a solution.

• Sensitivity analysis helps evaluate the impact of changes in parameters on the optimal solution.

• Sensitivity analysis focuses solely on cost reduction strategies.

• Sensitivity analysis is used to eliminate unnecessary variables.

What is a network flow problem?

• A network flow problem is a strategy for managing social media accounts.

• A network flow problem is a type of computer virus.

• A network flow problem is a method for designing websites.

• A network flow problem is a mathematical optimization problem that seeks to find the maximum flow in a flow network.