One of the systems of a communications satellite consists of five electronic devices connected in…
One of the systems of a communications satellite consists of five electronic devices connected in series; the system as a whole would fail if any one of these devices were to fail. A common engineering design to increase the reliability of the system is to connect several devices of the same type in parallel, as shown in Fig E11.7. The parallel devices in each group are controlled by a monitoring system, so that, if one device fails, another one immediately becomes operative.
The total weight of the system may not exceed 20 pounds. Table shows the weight in pounds and the probability of failure for each device in group j of the system design. How many devices should be connected in.
parallel in each group so as to maximize the reliability of the overall system?