Course

Unit I

Basic concept of quality control, process control and product control, Statistical process control, theory of control charts, Shewhart control charts for variables: X-bar, R and s charts – Shewhart control charts for attributes: p, np, c, u charts, modified control charts.

Unit II

Performance of control charts – operating characteristic (OC) curves and average run lengths (ARL) of control charts, moving average control charts, EWMA charts, CUSUM charts, – two sided and one sided procedures – V – mask technique, process capability analysis, process capability indices – C_p and C_pk, Six Sigma quality metrics.

Unit III

Acceptance sampling plans for attributes, single sampling plans, double sampling plans – performance of the sampling plans- operating characteristic (OC) curves, acceptable quality level – lot tolerance proportion defective (LTPD), average outgoing quality (AQL) and average time for inspection (ATI) –curves based on these characteristics.

Unit IV

Introduction to Reliability and its needs; Different Approaches to Reliability Analysis, Application Areas, State Variable, Time to Failure, Failure Rate Function, Hazard rate function – Mean Time to Failure, Relationship between the Functions F(t), f'(t), R(t), and z(t), Bath tub curve, Mean time to failure, Residual time.

Unit V

Parametric families of some common life distributions –Exponential, Weibull and Gamma and its Characterization-Reliability estimation of parameters in these models. Fault Tree Analysis, Reliability Block Diagrams, Systems of Independent Components -System Reliability, Nonrepairable Systems, Quantitative Fault Tree Analysis, Reliability of Maintained Systems -Types of Maintenance, Downtime and Downtime Distributions, System Availability Assessment

Course Outcomes:

CO1: To understand the basic concepts of quality control and to construct variable and attribute

control charts.

CO2: To understand and construct EWMA and CUSUM charts, analyse the process capability

and Six Sigma quality metrics.

CO3: To gain knowledge about acceptance sampling methods and their properties

CO4: To gain knowledge about reliability and properties

CO5: To study reliability distributions and analyse reliability of systems and maintenance

CO-PO Mapping:

Text Books/References Books:

1. Montgomery D. C. (2005) Introduction to Statistical Quality control, 5^th edition, Wiley.
2. Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.
3. Schilling E. G. (1982) Acceptance Sampling in Quality Control, Marcel Decker.

4. Marvin Rausand and Arnljot Hoyland ,(2003): System Reliability Theory : Models, Statistical methods and applications, 2^nd edition, John Wiley and Sons Inc., publications.