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A Path to the Next Generation of U.S. Banknotes Keeping Them Real (2007) / Chapter Skim
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Appendix E An Example Using a Flow Model for Counterfeiting
Pages 297-302

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From page 297...
... E An Example Using a Flow Model for Counterfeiting This appendix contains an example of the kind of analysis suggested by the flow model of the currency circulation system discussed in Chapter 2 and shown in Figure 2-2, duplicated as Figure E-1 in this appendix. The variables used to represent this system are defined in Table 2-5, duplicated as Table E-1 in this appendix.
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From page 298...
... a P at h n e xt g e n e r at i o n U.s. Banknotes  to the of FIGURE E-1 A flow model for counterfeiting.
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From page 299...
... aPPendix e  TABLE E-2 Differential, Time-Dependent, and Steady-State Flow Equations in the Flow Model for Counterfeiting Flow Rate In/Out of Steady-State Amount Repository Repository Time-Dependent Amount in Repository in Repository dx ρ −c ρ −c = ρ − c − φx  − exp( −φt )
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From page 300...
... a P at h n e xt g e n e r at i o n U.s. Banknotes 00 to the of FEATURE ANALYSIS USING THE FLOW MODEL For the sake of demonstrating the power of the flow model proposed, con sider three potential features with different characteristics, as shown in Table E-3.
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From page 301...
... aPPendix e 0 TABLE E-5 A Nominal Characterization Table for the Comparison of Features A, B, and C Production Rate ρ Feature Passing Fraction s Amount Circulating y(∞) A 0.9 0.1 0.02 B 0.5 0.5 0.07 C 0.1 0.9 0.06 Comparison tables can now be developed to reflect the respective features' effects on the remaining parameters s and ρ.1 To continue the hypothetical example, suppose a "nominal characterization" table could be used to assign values for s and ρ, as shown in Table E-5 (where the values of ρ are scaled so that ρ = 1 reflects the lowest difficulty to simulate, and ρ = 0 the highest)
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From page 302...
... a P at h n e xt g e n e r at i o n U.s. Banknotes 0 to the of In particular, it would seem appropriate for the Bureau of Engraving and Printing (BEP)
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