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Reliability, Maintainability And Safety I

Syllabus: Probability:
Concept and Definition: Sample space and events; basic properties with union and intersection of events; conditional probability Bayes rule.
Discrete random variables: Binomial, Geometric, Negative Binomial, Poisson; Poisson approximation to Binomial distribution; independent random variables and their sum; moments expectation, variance; Chebychevs inequality.
Continuous random variables: Distribution function and density function; Uniform, Normal, Exponential, Gamma, Weibull their moments; change of variable formula.
Jointly distributed random variables: Conditional distribution; correlation coefficient; order statistics; Central Limit Theorem.
Reliability, Maintainability and Safety:
Concept of Reliability: Definition of reliability and related measures; concept of failure; quality and reliability; importance of reliability.
Failure Patterns Probability Models: Hazard models bath tub curve; causes of early failure; failure time distributions: exponential, Weibull, normal, log normal, gamma; their properties and uses.
System Reliability Computation: Series, parallel, series parallel, bridge and r out of n configurations: reliability block diagram; determination of reliability through combinatorial methods of inspection, events space, cut set and tie set; strength and stress distribution safety factor and reliability.


Reference Texts:
1. Introduction to Probability Theory: By Hoel P.G., Port S.C. and Stone C.J. (1971), Houghton Mifflin Company.
2. An Introduction to Probability Theory and its Applications (Vol. I): By Feller W. (1957), John Wiley & Sons.
3. An Introduction to Probability Theory and its Applications (Vol. II): By Feller W. (1966), John Wiley & Sons.
4. A first Course in Probability: By Ross S.M. (2005), Prentice Hall.
5. Reliability in Engineering Design: By Kapur K.C. and Lamberson L.R. (1977), John Wiley & Sons, Inc.
6. Statistical Methods for Reliability Data: By Meeker W.Q. and L.A. Escobar L.A. (1998), John Wiley & Sons, Inc.
7. Statistical Models and Methods for Lifetime Data: By Lawless J.F. (1982), John Wiley & Sons, Inc.
8. System Reliability Theory: By Hoyland A. and Rausand M. (1994), John Wiley & Sons, Inc.

Statistics for Decision Making I

Syllabus: Introduction: Definition of Statistics, Descriptive and Inferential Statistics, Basic Objectives, Applications to various disciplines with examples, Impact of Computer on data analysis.
Collection of Data: Internal and external data, Primary and secondary Data, Population and sample, Representative sample, Types of data continuous and discrete data, Planning and execution of data collection, errors in the process of data collection.
Descriptive Statistics: Scrutiny, classification and tabulation of univariate data, Graphical representation, Frequency distribution, Histogram, Box Plot, Dot Plot, Pareto Diagram. Descriptive measures central tendency and dispersion. Skewness and Kurtosis of a frequency distribution. Bivariate data, Summarization of bivariate data, Marginal and conditional frequency distribution, Scatter diagram, Linear regression and correlation, Least squares method, Rank correlation, Association of attributes. Multivariate data, multiple linear regression, multiple and partial correlation, Coefficient of multiple determination.
Simulation of Probability models: Random numbers and pseudorandom numbers, Generation of random samples from Uniform, Normal, Bivariate Normal, Exponential, Gamma, Poisson and other distributions.
Sampling Techniques: Random sampling, Bias and its sources, Sampling from finite and infinite populations, Estimates and standard error (sampling with replacement and sampling without replacement), Sampling distribution of sample mean, Stratified random sampling, proportional and optimum allocation, Systematic sampling, Cluster Sampling.
Sampling distribution: Sampling distributions related to standard univariate probability models Binomial, Poisson, Normal, Exponential, Gamma, etc.
For all the topics above: Examples and Exercises with use of software packages like Minitab / JMP/ SPSS/ Statistica/ Systat/excel etc.

Reference Texts:
1. Probability and Statistics for Engineers (7th Edition, 2005) : By I. Miller, J. Freund and R. A Johnson, Prentice Hall.
2. Statistical Theory with Engineering Application: By A. Hald., Textbook Publishers,2003.
3. Statistical Concepts & Methods : By G.K. Bhattacharyya and R.A. Johnson., Wiley , 1977.
4. Introduction to Linear Regression Analysis : By D.C. Montgomery , E.A.Peck & Vining.G.G, Wiley,2006.
5. Introduction to the Theory of Statistics : By A.M. Mood, F.A. Graybill & D.C. Boes. , Tata McGraw Hill, 1974 (RP 2008).
6. Applied Regression Analysis : By N. R.Draper & H. Smith, Wiley,1981.
7. Basic Statistics: By Dick A. Leabo, C.Frank Smith, R. D. Irwin,1968.
8. Beginning Statistics: By R. Lowell Wine , Winthrop Publishers , 1976.
9. Operations Research An Introduction: By Hamdy A . Taha , Prentice Hall, 1997.

Operations Research I

Syllabus: Introduction to OR: Origin of OR and its definitions Operational Research with special emphasis on interdisciplinary and systems approach, stages of OR project, problem formulations. Developing a model. Testing the adequacy of the model, deriving a solution and evaluation of the solution and implementation.
Linear Programming: Linear programming examples and modeling. LP formulations using matrix notation, standard and canonical forms, row operations, pivoting. Polyhedral sets, extreme points, bases and the connection between extreme points and the bases. Graphical method for solving LPs. Existence of optimal basic feasible solutions. The simplex methods: two-phase and the big-M method. Degeneracy in LP and its resolution. The revised simplex method and its significance. Duality: formulations, the fundamental theorem of duality, the dual simplex algorithm, and the sensitivity analysis.
Applications of OR: The minimum cost network flow problems, the transportation model, and the bounded variables problem. Large scale optimization problems and the decomposition principle. Case studies on industrial applications of OR.


Reference Texts:
1. Operations Research and Management Science, Hand Book: Edited By A. Ravi Ravindran, CRC Press, Taylor & Francis Group (web site: http://www.taylorandfrancis.com).
2. Nonlinear Programming Theory and Algorithms: By Mokhtar S. Basaraa, Hanif D. Sherali and C. M. Shetty, second edition, John Wiley & Sons Inc. , New Delhi.
3. Network Programming: By Katta Murty, Pretice Hall.
4. Handbook of Applied Optimization: edited By Panos M. Pardalos and Mauricio G. C. Resende, Oxford University Press (www.oup.com)
5. The Linear Complementarity Problem: By Cottle, Pang and Stone, Academic Press.

Total Quality Management


Syllabus: Quality Management: Basic concepts. Elements of Quality and Management Quality policies and goals. Economics of Quality.
Organising for Quality: Evolution of organisation for quality, co-ordination of quality activities, role of upper management, middle management, work force and teams. Self managing teams, quality circles. Culture, Motivation, Creating and maintaining quality awareness, Achieving total commitment to quality-various approaches.: Juran, Deming, Ishikawa & Taguchi.
TQM Principles: Customer satisfaction Customer Perception of Quality, Customer Complaints, Service Quality, Employee Involvement Motivation, Empowerment, Continuous Process Improvement 5S, Kaizen, Supplier Quality Partnering, sourcing, Supplier Selection, Supplier Rating.
TQM TOOLS: Benchmarking Reasons to Benchmark, Benchmarking Process, Quality Function Deployment (QFD) House of Quality, QFD Process, Benefits, Taguchi Quality Loss Function, Total Productive Maintenance (TPM) Concept.
Quality Management & Assurance systems: Developing and establishing quality management and assurance system. Basics of ISO 9000, TS 16949, ISO 14000 systems, Quality Audit, Accreditation systems.


Reference Texts:
1. Quality planning and Analysis: By J.M. Juran and F.M. Gryna, Tata McGraw Hill.
2. Total quality Control: By A.V. Feigenbaum, McGraw Hill.
3. Quality Handbook: By J.M. Juran (Ed.), McGraw Hill.
4. Total Quality Management- A practical approach: By H. All, Wiley Eastern.
5. Handbook of Quality Management: By D.Lock (Ed.), Jaico
6. ISO 9001,14001 & TS 16949 Quality Assurance System Standards

Project Management

Syllabus: Project Management Framework: Introduction on Project Management, Project Management Lifecycles, Stakeholders, Project Management Processes, & its interactions, Organizational Influences, Project Management Process Mapping.
Project Integration Management: Project Planning, Project Execution & Monitoring & Control, Project Change Management, Project Closure.
Scope Management: Scope Planning, Scope Definition, Scope Verification & Control.
Time Management: Activity Definition, Activity Sequencing, Activity Duration Estimation, Schedule Development & Control.
Cost Management: Cost Estimating, Cost Budgeting, Cost Control.
Quality Management: Quality Planning, Quality Assurance, Quality Control.
Human Resource Management: HR Planning, Acquire, Develop Manage Teams.
Communication Management: Communication Planning, Information Distribution, Performance Reporting.
Risk Management: Risk Planning, Risk Identification, Risk Analysis, Risk Management.
Procurement Management: Procurement Planning & Acquisition, Source Selection, Contract Management.
Advanced techniques in Project Management: PERT/CPM, Sequencing and Scheduling, Dependency Structure Matrix Analysis, M7Ttools, Decision Analysis.


Reference Texts:
1. The Art of Project Management Theory in Practice: By Scott Berkun, O Reilley, 2005.
2. Project Management: A Systems Approach to Planning, Scheduling and Controlling. By Herold Kerzner, John Wiley Inc., 2009.
3. Fundamentals of Project Management: By James P. Lewis, American Management Association, 2007.
4. Project Management: A Managerial Approach: By Jack R. Meredith and Samuel J. Mantel, John Wiley & Sons 2009.
5. Project Management: 24 steps to help you master any project: By Gary R. Heerkens, McGraw-Hill 2007.

Statistical Process Control I

Syllabus: Introduction to SPC: Concept of quality, Quality control and Quality improvement;Role of SPC in this context, Concept of variation due to common and assignable causes; meaning of control, expected benefits of SPC.
Control Charts: a. Introduction to Shewhart Control charts, Statistical basis for control charts, Control chart for variables and attributes: X MR, Xbar R, Xbar s, np, p, c, u charts. b. Sloping control chart, Modified control charts, CUSUM chart, EWMA chart, Precontrol chart, Run Chart. c. Usage of statistical software (like Minitab, SPSS, Systat, Statistica, JMP etc) for construction of control chart with live data.
Process Capability Analysis: a. Process capability Analysis, process capability and machine capability indices (Cp, Pp, Cpk,PpkCpk) b. Estimation of process capability indices for live data by statistical software (like Minitab, SPSS, Systat, Statistica, JMP etc)
Measurement System Analysis: a. Measurement system analysis Definition of bias, linearity, stability, repeatability & reproducibility. Selection of appropriate gauge for measurement purpose. b. Estimation of measurement error (Repeatability & Reproducibility) for variable data by ANOVA & Control Chart method. c. Estimation of Kappa for attribute data. d. Usage of statistical software (like Minitab, SPSS, Systat, Statistica, JMP etc) for estimation of Gauge R & R and Kappa values from live data.
Acceptance Sampling: a. Purpose of sampling inspection, Critique of acceptance sampling, Relevance of sampling inspection in todays technoeconomic scenario. b. Concept and definitions: Single Sampling, Double Sampling, Multiple sampling plans, AQL, LTPD, Type A and Type B OC function, ASN, AOQL and ATI for acceptance rectification plans. c. Sampling Schemes: Dodge &Romigs system of AOQL and LTPD plans; Sampling plans based on OC functions; Military Standards (105 D and 105 E)

Reference Texts:
1. Introduction to Statistical Quality Control, 5th Edition: By D.C.Montgomery, Wiley, N.Y.
2. Statistical Quality Control 6thedition : By E.L. Grant & R.S. Leavenworth, McGraw Hill, N.Y.
3. Quality Control and Industrial Statistics 5thedition : By A.J. Duncan, Irwin, Homewood, Ill.
4. Quality Control and Statistical Methods : By Edward M. Schrock, Asia Publishing House.
5. Statistical Process Control, Theory and Practice : By G.B. Wetherill & D.W. Brown, Chapmann& Hall, N.Y.
6. Dodge, H.F. and Romig, H. G. (1941). Single sampling and double sampling inspection tables. Bell Syst. Tech. J., 20, 1 61; reprinted in Dodge, H. F. and Romig, H. G. (1959). Sampling Inspection Tables, 2nd edn, Wiley, New York.
7. MIL STD 105D (1963). Sampling Procedures and Tables for Inspection by Attributes, U.S. Government Printing Office, Washington D.C