System Engineering and Productivity

System Engineering and Productivity

Presentation of a Mathematical Model to Examine the Economic Advantages of Maintenance Strategies

Document Type : Research Paper

Authors
Hossein Shams 1
Gholam Reza Hashemzadeh Khorasgani 2
Ghanbar Abbaspour Esfadan 3
Hassan Farsijani 4
Ashraf Shahmansouri 5
1 Ph.D. Student, Department of Industrial Management, Research and Science Branch, Islamic Azad University, Tehran, Iran
2 Corresponding author: Professor, Department of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran
3 Associate Professor, Department of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran
4 Associate Professor, Department of Industrial Management and Information Technology, Shahid Beheshti University, Tehran, Iran
5 Assistant Professor, Department of Technology Management, South Tehran Branch, Islamic Azad University, Tehran, Iran
10.22034/sep.2025.2051634.1264
Abstract
One of the most important management concepts in large and manufacturing industries is the concept of maintenance, which has a significant impact on productivity, optimal performance, and costs due to sudden failures in manufacturing industries. Many maintenance managers believe that using a proactive maintenance policy is more cost-effective than other maintenance policies due to the longer life cycle of the equipment, but there is no reliable evidence to prove this belief in manufacturing businesses. The purpose of this paper is to design a mathematical model to help managers in the decision-making process of choosing the most appropriate maintenance approach from a cost-benefit perspective. In this study, we used the gamma probability distribution to estimate the time required for a failure event to occur in a pump, before and after the failure. In this work, we examined the cost of three different maintenance approaches (corrective, preventive, and predictive) by considering different parameters. It was observed that the corrective approach, due to the lack of a maintenance process, had the shortest life cycle duration and the highest cost, while the predictive approach had the longest life cycle duration and the lowest cost, and the preventive approach was placed between its two counterparts. The mathematical model in this study helps managers in this field to decide on the most appropriate network policy.

Highlights

  • A new framework for cost benefit analysis is proposed.
  • Gamma process was used to model the destruction process in two cases with and without erosion.
  • The goal is to achieve the most optimal maintenance strategy.

Keywords
Maintenance strategies
Gamma distribution
Destruction modeling
Profit-cost analysis
Mathematical model
Subjects

Copyright © Hossein Shams, Gholam Reza Hashemzadeh Khorasgani, Ghanbar Abbaspour Esfadan, Hassan Farsijani, Ashraf Shahmansouri

 

License

This article is released under the Creative Commons Attribution (CC BY 4.0) license. Anyone is free to copy, share, translate, and adapt this article for any purpose, whether commercial or non-commercial, as long as proper citation is given to the authors and original publication.

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System Engineering and Productivity
Volume 5, Issue 2 - Serial Number 15
Serial No. 15, Summer Quarterly
Summer 2025
Pages 17-33

  • Receive Date 27 January 2025
  • Revise Date 24 February 2025
  • Accept Date 06 March 2025
  • First Publish Date 06 March 2025
  • Publish Date 23 August 2025