Optimization of Preventative Maintenance Requests background cover

Optimization of Preventative Maintenance Requests

Optimize the timing of preventative maintenance requests to reduce costs and increase efficient operations

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Fatma Chaouech
pipanther

1

Posted

Credit Calculation Error in Toy Example

Could you please explain how the credit costs were calculated in the Toy Example? I think there might be an error in the calculation, or the PMRQ credit system wasn't explained well: When PMRQ 1 credits PMRQ 2 and 4, the cost should be 0, but it's 5 in the Toy Example.
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RMTboy

1

Posted by RMTboy •

If I understand well, the quantity to optimise is the credit CC obtained which is expressed as follows. If the number of PMRQ is NN then the total cost is
∑t=1T∑i=1NcostiPMRQi,t×(1−∑j=1Ncrediti,jPMRQj,t)\sum_{t=1}^T \sum_{i=1}^{N}cost_i PMRQ_{i,t}\times (1-\sum_{j=1}^{N} credit_{i,j}PMRQ_{j,t}) and the credit obtained is
∑t=1T∑i=1N∑j=1Ncosticrediti,jPMRQi,tPMRQj,t\sum_{t=1}^T \sum_{i=1}^{N}\sum_{j=1}^{N} cost_i credit_{i,j} PMRQ_{i,t} PMRQ_{j,t}
where PMRQi,jPMRQ_{i,j} is 1 is the maintenance of ii is done at time tt and 0 otherwise. The variable credit(i,j)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!

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