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Binary variable Xj = 1 if antenna j is active, 0 otherwise, where j takes values 1, 2, 3, 4 for the 4 antenas at the earth stations.


Also variable Y takes values 1 if an attendant is assigned to duty for monitoring, 0 otherwise.


a) Formulate the constraint that we need to add into the model to ensure that no more than three antennas can be active simultaneously


b) How would you formulate the constraint that ensures that the attendant is assigned to duty only if at least one or more antennas are active. If not, he is not assigned to duty.|||Status of xi (i=1, 2, 3, 4) is monitored. Its previous state /xi/ and present state xi are compared


/xi/ EXOR xi = 1 implies state change.





The constraint C is counter driven


C = 0 for SIGMA (xi) = 3 (count)


C = 1 for SIGMA (xi) %26lt; 3 .


C = 0 inhibits change keeping all antennas as they are.





Y = 1 for OR xi (i=1, 2, 3, 4) = 1


Y = 0 for OR xi (i=1, 2, 3, 4) = 0.