Operations management often presents complex problems that can be modeled by linear functions. The mathematical technique of linear programming is instrumental in solving a wide range of operations management problems.
Linear Program Structure
Linear programming models consist of an objective function and the constraints on that function. A linear programming model takes the following form:
Z = a1X1 + a2X2 + a3X3 + . . . + anXn
b11X1 + b12X2 + b13X3 + . . . + b1nXn < c1
b21X1 + b22X2 + b23X3 + . . . + b2nXn < c2
bm1X1 + bm2X2 + bm3X3 + . . . + bmnXn < ...
This discusses the Linear programming models