The constraints in the typical PQIP problem

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Table of contents

Chapter 1: Introduction
1.0. Chapter purpose and outline
1.1. Introduction
1.2. PQIP problem
1.3. The relation of PQIP with maintenance and production issues
1.4. Conclusion
Chapter 2: Literature review
2.0. Chapter purpose and outline
2.1. Introduction
2.2. MMS characteristics
2.2.1. Production structure
2.2.2. Production/inspection flow
2.2.3. Inspection strategy
2.2.4. Inspection errors
2.2.5. Failure rate and type
2.2.6. Nonconforming strategy
2.3. Methodology characteristics
2.3.1. Objective functions
2.3.2. Constraints
2.3.3. Optimization under uncertainty
2.3.4. Solution approaches
2.4. Integrated optimization
2.5. Conclusion
Chapter 3: Mathematical formulation
3.0. Chapter purpose and outline
3.1. Main problem description
3.1.1. Assumptions
3.1.2. Indices
3.1.3. Parameters
3.1.4. Variables
3.1.5. Mixed-Integer Linear Mathematical Programming Model
3.2. Extended problem description
3.2.1. Assumptions
3.2.2. Indices
3.2.3 Parameters
3.2.4. Variables
3.2.5. Bi-Objective, Mixed-Integer, and Non-Linear Mathematical
3.3. Conclusion
Chapter 4: Methodology
4.0. Chapter purpose and outline
4.1. Stage 1: Piecewise linear approximation
4.2. Stage 2: Robust possibilistic programming model
4.3. Stage 3: Single objective counterpart model
4.4. Conclusion
Chapter 5: Experimental Results
5.0. Chapter purpose and outline
5.1. Numerical example
5.1.1. Main model
5.1.2. Extended model
5.2. Case study
5.2.1. Main model
5.2.2. Extended model
5.3. Conclusion
Chapter 6: Conclusion and Future Research Direction
6.0. Chapter purpose and outline
6.1. Conclusion
6.1.1. Main model
6.1.2. Extended model
6.2. Future research directions
6.2.1. MMS characteristics
6.2.2. Methodology characteristics

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