OR (B-TECH Mechanical Engineering 7-8th)

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.