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Material Accountancy

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Safeguards Systems Analysis
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Abstract

In this chapter, the basic idea of the establishment of a material balance is presented. For this purpose a material balance area, through which material passes in a given interval of time, is defined. In practice, a material balance area may be a material processing plant, a part of such a plant, or a well-defined part (“box”) of our environment. After the definition of the book inventory—initial physical inventory plus net flow, i.e., receipts minus shipments—the material accountancy principle is formulated; this principle holds that if no material has been lost or diverted, then the book and physical inventories at any given time should be equal. This is simply a consequence of the law of conservation of matter.

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References

  1. K. B. Stewart, Some Statistical Aspects of B-PID’s and Ending Inventories, AEC and Contractor SS Materials Management Meeting (Germantown, Maryland; May 25–28, 1959), report No. TID-7581, USAEC Division of Technical Information, pp. 148-160 (1959).

    Google Scholar 

  2. K. Valentin, Der Vogelhändler, in Alles von Karl Valentin (M. Schulte, ed.), Piper, München (1978).

    Google Scholar 

  3. E. L. Lehmann, Testing Statistical Hypotheses, Wiley, New York (1959).

    MATH  Google Scholar 

  4. R. Avenhaus, Material Accountability—Theory, Verification, Application, monograph No. 2 of the International Series on Applied Systems Analysis, Wiley, Chichester (1978).

    Google Scholar 

  5. H. Scheffée, The Analysis of Variance, Wiley, New York (1967).

    Google Scholar 

  6. R. Kraemer and W. Beyrich, in Joint Integral Safeguards Experiment (JEX70) at the Eurochemie Reprocessing Plant Mol, Belgium, Chap. 7, report No. EUR 457 and KfK 1100, EURATOM and the Nuclear Research Center, Karlsruhe (July 1971).

    Google Scholar 

  7. W. Beyrich and G. Spannagel, The A7-76 Interlaboratory Experiment IDA-72 on Mass Spectrometric Isotope Dilution Analysis, report No. KFK 2860, EUR 6400c, Nuclear Research Center Karlsruhe (1979).

    Google Scholar 

  8. F. Morgan, The Usefulness of Systems Analysis, Proceedings of the IAEA Symposium on Safeguards Techniques in Karlsruhe, Vol. II, pp. 265–290, International Atomic Energy Agency, Vienna (1970).

    Google Scholar 

  9. R. Schneider and D. Granquist, Capability of a Typical Material Balance Accounting System for a Chemical Processing Plant, Paper presented at the IAEA Panel on Safeguards Systems Analysis of Nuclear Fuel Cycles in Vienna, August 25–29, 1969.

    Google Scholar 

  10. H. Singh, Analysis of Some Available Data on Material Unaccounted for (MUF), report No. KFK 1106, Nuclear Research Center, Karlsruhe (April 1971).

    Google Scholar 

  11. R. Horsch, Bestimmung optimaler Gegenstrategien bei speziellen Neyman-Pearson-Tests mit Hilfe von Simulations-und numerischen Verfahren (Determination of Optimal Counterstrategies for Special Neyman-Pearson Tests with Simulation and Numerical Procedures), Diplomarbeit HSBwM-ID 2/82 of the Universität der Bundeswehr München (1982).

    Google Scholar 

  12. R. Avenhaus and N. Nakicenovic, Significance Thresholds of One-Sided Tests for Means of Bivariate Normally Distributed Variables, Commun Statistics A8(3), 223–235 (1979).

    Article  Google Scholar 

  13. K. B. Stewart, A New Weighted Average, Technometrics 12, 247–258 (1958).

    Article  Google Scholar 

  14. R. Avenhaus and H. Frick, Game Theoretical Treatment of Material Accountability Problems, research report No. RR-74-2 of the International Institute for Applied Systems Analysis (1974). A slightly modified version has been published under the same title in Int. J. Game Theory 5(2/3), 117–135 (1977).

    MathSciNet  Google Scholar 

  15. G. Heidi and R. Schmidt, Numerische Bestimmung von Gleichgewichtsstrategien in einem sequentiellen Überwachungsspiel (Numerical Determination of Equilibrium Strategies in a Sequential Inspection Game), Trimesterarbeit HSBwM-IT 18/80 of the Universität der Bundeswehr München (1980).

    Google Scholar 

  16. R. Avenhaus and J. Jaech, On Subdividing Material Balances in Time and/or Space, J. Inst. Nucl Mater. Manage. 4(3), 24–33 (1981).

    Google Scholar 

  17. H.-J. Kowalski, Lineare Algebra, 9th Edition, De Gruyter, Berlin (1979).

    Google Scholar 

  18. K. E. Zerrweck, Beste Statistische Entscheidungsverfahren für die sequentielle Materialbilanzierung zum Zwecke der Nuklear-Materialkontrolle—Systemanalytische Aspekte und Grenzen der Kontrolle (Best Statistical Decision Procedures for the Sequential Material Accountancy for Safeguards—Systems Analytical Aspects and Limits), technical Note No. 1.05.13.81.85, C.C.R. Ispra (1981).

    Google Scholar 

  19. J. Jaech, On Forming Linear Combinations of Accounting Data to Detect Constant Small Losses, J. Inst. Nucl. Mater. Manage. 4, 37–44 (1978).

    Google Scholar 

  20. H. Frick, Optimal Linear Combinations of Accounting Data for the Detection of Noncon-stant Losses, Nucl. Technol. 44, 429–432 (1979).

    Google Scholar 

  21. M. A. Wincek, K. B. Stewart, and G. F. Piepel, Statistical Methods for Evaluating Sequential Material Balance Data, Technical Report NUREG/Cr-0683/PNL-2920 of the U.S. Nuclear Technical Service Commission, National Technical Information Service, Springfield (1979).

    Book  Google Scholar 

  22. R. Avenhaus, Decision Procedures for Material Balance Sequences, Nucl. Sci. Eng. 86, 275–282 (1984).

    Google Scholar 

  23. D. H. Pike and G. W. Morrison, Enhancement of Loss Detection Capability Using a Combination of the Kaiman Filter/ Linear Smoother and Controllable Unit Accounting Approach, Proceedings of the 20th Annual Meeting of the Institute for Nuclear Material Management, Albuquerque, New Mexico (1979).

    Google Scholar 

  24. D. J. Pike, A. J. Woods, and D. M. Rose, A Critical Appraisal of the Use of Estimates for the Detection of Loss in Nuclear Material Accountancy, Technical Report No. I/80/07 of the University of Reading (1980).

    Google Scholar 

  25. D. Sellinschegg, A Statistic Sensitive to Deviations from the Zero-Loss Condition in a Sequence of Material Balances, J. Inst. Nucl Mater. Manage. 8, 48–59 (1982).

    Google Scholar 

  26. T. W. Anderson, An Introduction to Multivariate Statistical Analysis, Wiley, New York (1958).

    MATH  Google Scholar 

  27. M. R. Sampford, Some Inequalities on Mill’s Ratio and Related Functions, Ann. Math. Stat. 24, 130–132 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  28. T. Laude, Materialbilanzierung mit transformierten nicht nachgewiesenen Mengen (Material accountancy with transformed undetected material quantities), Diplomarbeit HSBwM-ID 18/83 of the Universität der Bundeswehr München (1983).

    Google Scholar 

  29. R. Avenhaus and H. Frick, Game Theoretic Treatment of Material Accountability Problems, Part II. Research Report No. RR-74-21 of the International Institute for Applied Systems Analysis (1974).

    Google Scholar 

  30. C. S. van Dobben de Bruyn, Cumulative Sum Tests: Theory and Practice, Charles Griffin, London (1968).

    Google Scholar 

  31. E. S. Page, Continuous Inspection Schemes, Biometrika 41, 100–115 (1954).

    MathSciNet  MATH  Google Scholar 

  32. E. S. Page, A Test for a Change in a Parameter Occurring at an Unknown Point, Biometrika 42, 523–527 (1955).

    MathSciNet  MATH  Google Scholar 

  33. J. Nadler and N. B. Robbins, Some Characteristics of Page’s Two-sided Procedure for Detecting a Change in a Location Parameter, Ann. Math. Stat. 42, 538–551 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  34. M. Reynolds, Jr., Approximations to the Average Run Length in Cumulative Sum Control Charts, Technometrics 17(1), 65–70 (1975).

    Article  MathSciNet  Google Scholar 

  35. D. C. Montgomery and L. A. Johnson, Forecasting and Time Series Analysis, McGraw-Hill, New York (1976).

    MATH  Google Scholar 

  36. R. A. Johnson and M. Bagshaw, The Effect of Serial Correlation on the Performance of CUSUM Tests, Technometrics 16(1), 103–112 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  37. R. A. Johnson and M. Bagshaw, The Effect of Serial Correlation on the Performance of CUSUM Tests II, Technometrics 17(1), 73–78 (1975).

    Article  MathSciNet  Google Scholar 

  38. J. Setzer, Zur genäherten Bestimmung der mittleren Lauflängen bei CUSUM Tests für abhängige Zufallsvariablen (Approximate determination of the average run lengths of CUSUM tests for dependent random variables), Diplomarbeit HSBwM-ID 10/84 of the Universität der Bundeswehr München (1984).

    Google Scholar 

  39. R. Beedgen, Statistical Considerations Concerning Multiple Material Balance Models, Research Report No. LA-9645-MS of the Los Alamos, National Laboratory (1983).

    Google Scholar 

  40. H. Robbins and D. Siegmund, Confidence Sequences and Interminable Tests, Bull. ISI 43, 379–387 (1969).

    MathSciNet  MATH  Google Scholar 

  41. H. Robbins, Statistical Methods Related to the Law of the Iterated Logarithm, Ann. Math. Stat. 41(5), 1397–1409 (1970).

    Article  MathSciNet  MATH  Google Scholar 

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© 1986 Springer Science+Business Media New York

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Avenhaus, R. (1986). Material Accountancy. In: Safeguards Systems Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0577-2_3

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  • DOI: https://doi.org/10.1007/978-1-4899-0577-2_3

  • Publisher Name: Springer, Boston, MA

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