1. The application of mathematics and the scientific
method to military operations was called operations
research. Today, the term operations research (or,
often, management science) means a scientific
approach to decision making, .… under conditions
requiring the allocation of scarce resources.
IE 416, Chap 1:1, July 98

2. A solution to a linear system of m equations in n
Page 20 and 30:
A solution to a linear system of m equations in n
unknowns is a set of values for the unknowns that
satisfies each of the system's m equations.
For any linear system, a variable that appears
with a coefficient of in a single equation and
a coefficient of in all other equations is called
a basic variable (BV). Any variable that is not a
basic variable is called a nonbasic variable (NBV).
IE 416, Chap 2:2, July 98

3. Linear Programming Terms (Chap. 3) * Summarize the problem as a matrix
* Formulate the problem: decision variable, objective
function (OF), OF coefficient, constraint (ST),
technological coefficient, right hand side (RHS),
sign restriction, unrestricted in sign (URS),
assumptions (divisibility, certainty, … )
* Solve the problem: feasible region (based on
constraints, bounded, unbounded, no f.r.), graphical
solution, iso-profit (cost) line, optimal solution
(extreme point, no solution, one solution, multi-
solution), binding constraint, nonbinding constraint,
infeasible LP, unbounded LP
IE 416, Chap 3, May 99

4. Summary of Giapetto Inc. (Page 49)
Toy Sell Costs Hours of labor/toy Demand
price Raw Labor Carpenter Finish per week
______________________________________________
Soldier $27 $10 $ hr hr
Train $21 $9 $ hr hr no limit
no max 80 max 100
limit
X1 = number of soldiers / week
X2 = number of trains / week
IE 416, Chap 3:1, July 98