שימוש בחקב ” ץ בשדה הקרב אדי אהרונוביץ ’

Quantitative Approaches The stage of Broad Theories ( ) A wave of empirical Decryption ( ) Combined Empirical Theoretical Approaches (after 1950)

Mathematical Models & Analysis Reaction process The game theory Economic process Probabilistic systems & Stochastic models

Problem in math. application Parameterization of information Define the target function Declare success / failure parameters

What is OR ? Optimization processes Define the target function Define the restrictions

Mathematical presentation

Algorithms Families Simplex Linear Programming Dynamic Programming

Representative Problems Transportation Overload Service location (Location allocation and covering)

World war II and the 50’s British military leaders asked scientists to analyze military problems 50’s - Johns Hopkins University,performed qualitative and quantitative analyses of strategy, tactics, and material eddiea: Maj. Gen Ward Maris, G-4, for Dir, ORO, 29 Mar 51. G eddiea: Maj. Gen Ward Maris, G-4, for Dir, ORO, 29 Mar 51. G

The 60’s Vietnam war - logistic planning “Science of centralization”

The 70’s Game theory implementation in the cold war Negotiation models using the game theory and stochastic process

The 80’s Mass computing Service Level Assurance Economical aspects (as equipment reuse)

The 90’s Simulations Virtual reality Long term policy in the tactical level Expert on-line systems

Questions ? תודה