Unit I Introduction: Definition, role of operations research in decision-making, applications in
industry. Concept on O.R. model building –Types & methods.
Unit II Linear Programming (LP): Programming definition, formulation, solution- graphical,
simplex Gauss-Jordan reduction process in simplex methods, BIG-M methods
computational, problems.
Unit III Deterministic Model: Transportation model-balanced & unbalanced, north west rule,
Vogel’s Method, least cost or matrix minimal, Stepperg stone method, MODI methods,
degeneracy, assignment, traveling salesman, problems.
Unit IV Advanced Topic Of LP: Duality, PRIMAL-DUAL relations-its solution, shadow price,
economic interpretation, dual-simplex, post-optimality & sensitivity analysis, problems.
Unit V Waiting Line Models: Introduction, queue parameters, M/M/1 queue, performance of
queuing systems, applications in industries, problems.
Unit VI Project Line Models: Network diagram, event, activity, defects in network, PERT &
CPM, float in network, variance and probability of completion time, project cost- direct,
indirect, total, optimal project cost by crashing of network, resources leveling in project,
problems.
Unit VII Simulation: Introduction, design of simulation, models & experiments, model validation,
process generation, time flow mechanism, Monte Carlo methods- its applications in
industries, problems.
Unit VIII Decision Theory: Decision process, SIMON model types of decision making
environment- certainty, risk, uncertainty, decision making with utilities, problems.