If I understand well, the quantity to optimise is the credit
C obtained which is expressed as follows. If the number of PMRQ is
N then the total cost is
∑t=1T∑i=1NcostiPMRQi,t×(1−∑j=1Ncrediti,jPMRQj,t) and the credit obtained is
∑t=1T∑i=1N∑j=1Ncosticrediti,jPMRQi,tPMRQj,t
where
PMRQi,j is 1 is the maintenance of
i is done at time
t and 0 otherwise. The variable
credit(i,j) indicates whether the maintenance of PMRQ-i is free if we do the one of PMRQ-j.
I guess there is a small typo in the sentence "PMRQ 1 credit PMRQ 2 and 4 for a cost of 5 at period 5" where it should be a cost of 4 and not 5. We'll rewrite the description of the problem to make it a bit more friendly!