Optimizing Preventive Maintenance and Breakdown Costs for South American Air Force

QUESTION

A South American country has 17 planes in its air force. They are short on money and do not want to spend any more than necessary to keep the planes in running condition. The cost to perform preventive maintenance on all 17 planes is $16,000 in local dollars.  If a plane has a malfunction between preventive maintenance, it costs $5,000 (local dollars) to while the plane is out of service for repairs and other related costs (referred to as the breakdown cost).  The malfunction history on the planes is as follows.

 

Months Between PM Average Number of Breakdowns Between PM Cycles
1 2.52
2 5.64
3 8.20
4 12.24

 

a)  How often should preventive maintenance be performed based on a cost analysis?

b) What is the breakdown cost that would equate the monthly total maintenance strategy for a two-month PM cycle with a three-month PM cycle? For this analysis, assume that except for the cost of a breakdown all other data (facts and figures) are the same as given in the original problem statement.

ANSWER

Optimizing Preventive Maintenance and Breakdown Costs for South American Air Force

Introduction

Maintaining a fleet of military aircraft is a costly endeavor, especially for countries facing budget constraints. In this scenario, a South American country has 17 planes in its air force and seeks to strike a balance between preventive maintenance (PM) costs and breakdown costs. This essay will delve into the analysis and decision-making process required to determine the optimal frequency of preventive maintenance and calculate the breakdown cost for different maintenance strategies.

Part A

Optimal Preventive Maintenance Frequency The first step in this cost analysis is to determine how often preventive maintenance should be performed to minimize overall expenses. To achieve this, we need to consider the historical data provided regarding the average number of breakdowns between PM cycles at different intervals:

1 Month: Average of 2.52 breakdowns

2 Months: Average of 5.64 breakdowns

3 Months: Average of 8.20 breakdowns

4 Months: Average of 12.24 breakdowns

As the time between PM cycles increases, the number of breakdowns also rises. However, the key is to find the sweet spot where the combined cost of preventive maintenance and breakdowns is minimized.

To do this, we can calculate the total cost for each maintenance interval and compare them. The cost for preventive maintenance is constant at $16,000, while the breakdown cost varies based on the number of breakdowns:

1 Month PM: Cost = $16,000 (PM) + 2.52 x $5,000 (Breakdown) = $28,600

2 Months PM: Cost = $16,000 (PM) + 5.64 x $5,000 (Breakdown) = $44,200

3 Months PM: Cost = $16,000 (PM) + 8.20 x $5,000 (Breakdown) = $58,000

4 Months PM: Cost = $16,000 (PM) + 12.24 x $5,000 (Breakdown) = $76,200

Based on this analysis, it is evident that performing preventive maintenance every three months results in the lowest overall cost. Therefore, to minimize expenses, the South American country should conduct preventive maintenance every three months.

Part B

Equating Monthly Total Maintenance Strategy In the second part of our analysis, we aim to determine the breakdown cost that would equate the monthly total maintenance strategy for a two-month PM cycle with a three-month PM cycle. In other words, we want to find the breakdown cost that makes both strategies equally cost-effective.

For the two-month PM cycle, the monthly cost is $44,200, as calculated above. To make this cost equivalent to the three-month PM cycle cost of $58,000, we need to account for the breakdown cost difference. The breakdown cost difference between these two strategies is $58,000 – $44,200 = $13,800.

Now, we divide this difference by the number of months in the PM cycle difference (3 months – 2 months) to find the breakdown cost that would equate the strategies:

Breakdown Cost Difference per Month = $13,800 / 1 = $13,800

So, to make the two-month PM cycle strategy as cost-effective as the three-month PM cycle, the breakdown cost should be $13,800 per month.

Conclusion

In conclusion, optimizing preventive maintenance and breakdown costs for the South American Air Force involves careful analysis of historical breakdown data. Based on this analysis, it is recommended that preventive maintenance should be performed every three months to minimize overall expenses. Additionally, to equate the monthly total maintenance cost between a two-month and a three-month PM cycle, a breakdown cost of $13,800 per month should be targeted. By implementing these strategies, the country can efficiently manage its aircraft fleet while conserving valuable financial resources.

 

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