Contents
vii
Chapter 3 Optimum Design
145
VII.
VIII.
I. Fundamentals
A. Criterion Function
B. Functional Constraints
C. Regional Constraints
II. Industry Optimal Goals
A.
Flight Vehicles
B. Petro or Chemical Plants
C.
Main and Auxiliary Power and Pump Units
D.
Instruments and Optical Sights
E.
Building or Bridges
F.
Ships or Barges
III. Optimization by Differentiation
IV. Lagrangian Multipliers
V. Optimization with Numerical Methods
VI. Linear Optimization with Functional Constraints
A. Simplex method
Nonlinear Programming
Geometric Programming
References
Problems
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145
145
146
146
146
147
147
148
148
149
149
152
154
155
155
157
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182
183
Chapter 4 Reliability
187
II.
III.
IV.
V.
VI.
Introduction
Reliability for a General Failure Curve
Reliability for a Rate of Failure Curve
Reliability for a Constant Rate of Failure Curve
Gaussian (Normal) Failure Curve
Configuration Effects on Reliability
A. Series System
B. Parallel System
C.
Series-Parallel Systems
D.
Reliability of Series Components
E.
Reliability of Parallel Components
F. Reliability
of Standby Components
References
Problems
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189
191
193
200
203
203
203
204
206
207
208
218
219
Appendix A Linearization of the Weibull Equation
Appendix B Monte Carlo Calculations
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225