Assignment 1 - Model Solutions
Complete step-by-step solutions for the Research Methodology assignment covering Binomial & Poisson distributions, Student's t-test, One-Way ANOVA, Pearson correlation, Linear Regression, and Research Proposal preparation.
CT Exam Questions & Marking Key
Comprehensive SRM CT-format examination questions for Module 4, complete with detailed model answers and marking breakdowns.
Foundations of Design of Experiments (DOE)
Systematic methodology to plan, conduct, analyze, and interpret controlled tests, isolating factor effects, error variance, and causal interactions.
Fractional Factorials & Taguchi Robust Design
Principles of fractional factorial screening, Taguchi Quality Loss Function, Orthogonal Arrays, and Signal-to-Noise (S/N) ratio optimization.
Genetic Algorithms (GA)
Principles of Darwinian natural selection, chromosome encoding, genetic operators (selection, crossover, mutation), elitism, and step-by-step solved binary optimization.
Global Optimization & Metaheuristics Taxonomy
The 5 formal components of optimization, local vs. global optima, heuristic vs. metaheuristic foundations, exploration-exploitation mechanics, and the master 5-branch taxonomy.
Module 4 Exam Prep Checklist & Formula Guide
High-yield revision checklist, core definitions, and complete mathematical formula sheet for Module 4 (Design of Experiments & Optimization).
Module 4 Solved Practice Problems
Seven comprehensive hand-calculated numerical examination problems covering CRD, RBD, LSD, 2^2 Factorials, Taguchi L9 arrays, GA, and Response Surface Methodology (RSM) with collapsible solutions.
Module 5: Data Analysis Problem Solving & Solutions
Exam-oriented problem-solving guide covering probability distributions, sampling, hypothesis testing, model validation, and machine learning.
Physics & Swarm Algorithms: SA & PSO
Physical metallurgy principles of Simulated Annealing (SA), Metropolis acceptance probability, flocking dynamics of Particle Swarm Optimization (PSO), and velocity/position updates.
RSM Designs: Central Composite & Box-Behnken
In-depth mathematical structure, point derivations, rotatability alpha, run count formulas, and comparison between Central Composite Design (CCD) and Box-Behnken Design (BBD).
RSM Fundamentals & First-Order Modeling
The canonical 10-step RSM methodology, step-by-step first-order regression calculations, model verification, and the Method of Steepest Ascent.
RSM: Multi-Response Optimization (MRO)
Principles of simultaneous multi-response optimization, Derringer-Suich desirability functions, linear and geometric formulations, and solved industrial trade-offs.
Standard Experimental Designs & ANOVA
Comprehensive mathematical formulations, ANOVA partitioning, and step-by-step solved problems for CRD, RBD, LSD, and 2^k Full Factorial designs.