EVOLUTION OF QUANTITAVE ANALYSIS

PERIOD	MODEL/PROPONENT	
Before 1900	Scientific Management – Frederick Taylor – use of step by step approach to managerial decision making	
1900	Markov Analysis (Andrei Markov) – deals with probabilities of future occurrences by analyzing presently known probabilities 	
1910	Queuing Theory (E.K. Erlang) – also called waiting lines – identifies costs and characteristics of waiting lines and mathematical assumptions used to develop queues

Inventory Control (F.W. Harris) – determines what inventory to be stocked, how and when it is to be acquired to reduce cost	
1920	Assignment Model – class of LP problem that determines most efficient assignment of people to projects, salespeople to territories, and so on.

Transportation model – LP model that deals with the distribution of goods from several points of supply to a number of points of demand

Linear Programming (H. Dantzig) – planning and decision making relative to resource allocation observing linear (one directional) relationship between objective function and constraints

Non-linear Programming (Kuhn & Tucker) – Objective function and constraints are nonlinear. Examples:  Goal and Integer Programming.	
1940	Game Theory (John Von Neuman) – use of conflict analysis and strategy (zero sum and two person games)

Dynamic programming – is a general approach that can be used to solve a number of different problems.  The overall approach of breaking a larger problem into smaller stages is an important principle.	
1950	Network Models – PERT (Booz, Allen and Hamilton)
                           - CPM (Dupont and Remington)	
1960	Decision Theory (E.L.Lehman) – analytic and systematic way to tackle problems.

Goal programming (Charles and Cooper) – LP that permits more than one objective to be stated.	
1970 and onwards	Information System, Decision Support, Expert Systems and Artificial Intelligence – use of computer in programming mathematical models for greater ease in solving more complex problems.