Deterministic Design II: General Formulation
- 101 Downloads
The previous Chapter was devoted to developing the conceptual foundations of the deterministic design-analysis. The concept of relative mass resolution was introduced as a deterministic measure of performance. The convexity theorem established a simple analytic relation between the point-source response set and the complete response set. This Theorem leads to the conclusion that the relative mass resolution is precisely equal to the expansion of the complete response set. Furthermore, an efficient computerizable min-max algorithm was established which enables evaluation of the expansion of the complete response set, while requiring explicit knowledge only of the point-source response set. Finally, the concept of relative mass resolution was extended to include the statistical uncertainty of the measurement.
KeywordsConvex Hull Auxiliary Parameter Thickness Profile Resolution Capability Uranium Hexafluoride
Unable to display preview. Download preview PDF.
- P. Kehler, Accuracy of Two‐Phase Flow Measurement by Pulsed Neutron Activation Techniques, in Multiphase Transport Fundamentals, Reactor Safety Applications, Vol. 5, p.2483, Hemisphere Pub., 1980.Google Scholar
- M. Perez‐Griffo et al, Basic Two‐Phase Flow Measurements Using N‐16 Tagging techniques, NUREG/CR‐0014, Vol. 2, pp. 923, 1980.Google Scholar
- Y. Ben‐Haim, Convex Sets and Nondestructive Assay, S. I. A. M. J. Alg. Disc. Methods, accepted for publication.Google Scholar
- For sets in Euclidean space, compactness and closed‐bounded‐ ness are equivalent. Compactness is however a much more general concept, whose properties we shall exploit.Google Scholar
- See ref. [7.2] of Chapter 2, pl45.Google Scholar
- See section 5.3 of ref. [7.2] of Chapter 2.Google Scholar
- M. H. Dickerson, K. T. Foster and R. H. Gudiksen, Experimental and Model Transport and Diffusion Studies in Complex Terrain, 29th Oholo Conf. on Boundary Layer Structure and Modelling, Zichron Ya’acov, Israel, March 1984.Google Scholar
- See refs.  and  of Chapter 1 andGoogle Scholar
- See ref.  of Chapter 1.Google Scholar
- C. D. Berger, R. E. Goans and R. T. Greene, The Whole Body Counting Facility at Oak Ridge National Laboratory: Systems and Procedure Review, ORNL/TM‐7477 (1980).Google Scholar
- The advantages of employing a high energy‐resolution germanium detector are explored inGoogle Scholar
- J. D. Brain and P. A. Valberg, Deposition of Aerosol in The Respiratory Tract, Amer. Rev. Respiratory Disease, 120: 1325 – 73 (1979).Google Scholar
-  1.
-  1.I. S. Boyce, J. F. Cameron and D. Pipes, Proc. Symp. on Nuclear Techniques in the Basic Metal Industries, vol.1, pl55, IAEA, 1973.Google Scholar
- 2.R. Bevan, T. Gozani, and E. Elias, Nuclear Assay of Coal, Electric Power Research Institute report EPRI‐FP‐989, vol. 6, 1979.Google Scholar
- See refs. cited in ref. [16.1] of Chapter 1 and:Google Scholar
-  1.
- 2.S. Tzafestas and N. Chrysochoides, Nuclear Reactor Control Using Walsh Function Variational Synthesis, Nucl. Sci. Eng., 62: 763 – 70 (1977).Google Scholar
- Thorough expositions of dynamic programming may be found in many sources, including the following.Google Scholar
- M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, 1982.Google Scholar