Operations Research Exam 1-Solved
operations research - ANS-accomplishing goals with the greatest resource efficiency
optimization - ANS-mathematical means of determining the most favorable
outcome out of all possible outcomes
decision space - ANS-design space, all possible outcomes
Optimization Statement - ANS-Max F(x)
s.t. gi<= 0
hj<= 0
xe<=x<=xm
F(x) - objective function
xi - design variables
gi - inequality constraints
hj - equality constraints
Types of Optimization execution - ANS-numeric, heuristic
Variable types - ANS-continuous (length), integer (people), discreet (subset of
integer), binary (reduces to just 1,0), parameters (cannot change, gravity)
Design variables - ANS-length, time/duration, people, materials, cost
Conditions of optimality - ANS-unconstrained numeric problems, constrained
optimization
Operations Research modeling steps - ANS-1 Define the problem
2. Formulate a mathematical model
3. Derive a solution
4. Test the model
5. Prepare to apply a model
6. Implement
Define the problem - ANS-what are we trying to do?
how are we trying to do it?
Stakeholders
Formulate a mathematical model - ANS--design variables
-behavior variables
-cost
-constraints
-goal - objective function
operations research - ANS-accomplishing goals with the greatest resource efficiency
optimization - ANS-mathematical means of determining the most favorable
outcome out of all possible outcomes
decision space - ANS-design space, all possible outcomes
Optimization Statement - ANS-Max F(x)
s.t. gi<= 0
hj<= 0
xe<=x<=xm
F(x) - objective function
xi - design variables
gi - inequality constraints
hj - equality constraints
Types of Optimization execution - ANS-numeric, heuristic
Variable types - ANS-continuous (length), integer (people), discreet (subset of
integer), binary (reduces to just 1,0), parameters (cannot change, gravity)
Design variables - ANS-length, time/duration, people, materials, cost
Conditions of optimality - ANS-unconstrained numeric problems, constrained
optimization
Operations Research modeling steps - ANS-1 Define the problem
2. Formulate a mathematical model
3. Derive a solution
4. Test the model
5. Prepare to apply a model
6. Implement
Define the problem - ANS-what are we trying to do?
how are we trying to do it?
Stakeholders
Formulate a mathematical model - ANS--design variables
-behavior variables
-cost
-constraints
-goal - objective function
