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
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).
K. Valentin, Der Vogelhändler, in Alles von Karl Valentin (M. Schulte, ed.), Piper, München (1978).
E. L. Lehmann, Testing Statistical Hypotheses, Wiley, New York (1959).
R. Avenhaus, Material Accountability—Theory, Verification, Application, monograph No. 2 of the International Series on Applied Systems Analysis, Wiley, Chichester (1978).
H. Scheffée, The Analysis of Variance, Wiley, New York (1967).
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).
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).
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).
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.
H. Singh, Analysis of Some Available Data on Material Unaccounted for (MUF), report No. KFK 1106, Nuclear Research Center, Karlsruhe (April 1971).
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).
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).
K. B. Stewart, A New Weighted Average, Technometrics 12, 247–258 (1958).
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).
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).
R. Avenhaus and J. Jaech, On Subdividing Material Balances in Time and/or Space, J. Inst. Nucl Mater. Manage. 4(3), 24–33 (1981).
H.-J. Kowalski, Lineare Algebra, 9th Edition, De Gruyter, Berlin (1979).
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).
J. Jaech, On Forming Linear Combinations of Accounting Data to Detect Constant Small Losses, J. Inst. Nucl. Mater. Manage. 4, 37–44 (1978).
H. Frick, Optimal Linear Combinations of Accounting Data for the Detection of Noncon-stant Losses, Nucl. Technol. 44, 429–432 (1979).
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).
R. Avenhaus, Decision Procedures for Material Balance Sequences, Nucl. Sci. Eng. 86, 275–282 (1984).
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).
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).
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).
T. W. Anderson, An Introduction to Multivariate Statistical Analysis, Wiley, New York (1958).
M. R. Sampford, Some Inequalities on Mill’s Ratio and Related Functions, Ann. Math. Stat. 24, 130–132 (1953).
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).
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).
C. S. van Dobben de Bruyn, Cumulative Sum Tests: Theory and Practice, Charles Griffin, London (1968).
E. S. Page, Continuous Inspection Schemes, Biometrika 41, 100–115 (1954).
E. S. Page, A Test for a Change in a Parameter Occurring at an Unknown Point, Biometrika 42, 523–527 (1955).
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).
M. Reynolds, Jr., Approximations to the Average Run Length in Cumulative Sum Control Charts, Technometrics 17(1), 65–70 (1975).
D. C. Montgomery and L. A. Johnson, Forecasting and Time Series Analysis, McGraw-Hill, New York (1976).
R. A. Johnson and M. Bagshaw, The Effect of Serial Correlation on the Performance of CUSUM Tests, Technometrics 16(1), 103–112 (1974).
R. A. Johnson and M. Bagshaw, The Effect of Serial Correlation on the Performance of CUSUM Tests II, Technometrics 17(1), 73–78 (1975).
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).
R. Beedgen, Statistical Considerations Concerning Multiple Material Balance Models, Research Report No. LA-9645-MS of the Los Alamos, National Laboratory (1983).
H. Robbins and D. Siegmund, Confidence Sequences and Interminable Tests, Bull. ISI 43, 379–387 (1969).
H. Robbins, Statistical Methods Related to the Law of the Iterated Logarithm, Ann. Math. Stat. 41(5), 1397–1409 (1970).
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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
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