Once the system has been set up, R(t = 1000) can be obtained directly from the Analytical QCP, as shown in the next figure.

 

This is obtained by solving the system equation for R given at t = 1000.

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The system equation is:

R_System=+R_Transmitter ·R_Relay1 · R_Relay2 · R_Relay3 · R_Relay4 ·R_Relay5·R_Relay6·R_Receiver -R_Transmitter ·R_Relay1 ·R_Relay2 ·R_Relay3 ·R_Relay4 ·R_Relay6 ·R_Receiver -R_Transmitter ·R_Relay1 ·R_Relay3 ·R_Relay4 ·R_Relay5 ·R_Relay6 ·R_Receiver -R_Transmitter ·R_Relay1 ·R_Relay2 ·R_Relay3 ·R_Relay5 ·R_Receiver +R_Transmitter ·R_Relay1 ·R_Relay3 ·R_Relay4 ·R_Relay6 ·R_Receiver -R_Transmitter ·R_Relay2 ·R_Relay3 ·R_Relay4 ·R_Relay5 ·R_Receiver -R_Transmitter ·R_Relay2 ·R_Relay4 ·R_Relay5 ·R_Relay6 ·R_Receiver +R_Transmitter ·R_Relay1 ·R_Relay3 ·R_Relay5 ·R_Receiver +R_Transmitter ·R_Relay2 ·R_Relay3 ·R_Relay5 ·R_Receiver +R_Transmitter ·R_Relay2 ·R_Relay4 ·R_Relay5 ·R_Receiver +R_Transmitter ·R_Relay2 ·R_Relay4 ·R_Relay6 ·R_Receiver

_{and where:}

R_{Receiver=RSPS1·RRCR1·RRCR2}
R_Transmitter=R_SPS1·R_TRC1·R_TRC2
R_Relay =R_SPS1·R_RLYC1

_and

R_Relay = R_Relay1 = R_Relay2 =  R_Relay3 = R_Relay4 = R_Relay5= R_Relay6