On the application of copula in modeling maintenance contract

2nd International Manufacturing Engineering Conference; 3rd Asia-Pacific Conference on Manufacturing Systems

Iskandar, B.P.^1 ; Husniah, H.^2

Department of Industrial Engineering and Management, Institute Technology Bandung, Indonesia^1

Department of Industrial Engineering, University of Langlangbuana, Indonesia^2

关键词: Bivariate;    Corrective maintenance;    Decision problems;    External agents;    Maintenance contracts;    Model maintenance;    Non-cooperative game theory;    Total profits;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/114/1/012085/pdf
DOI  :  10.1088/1757-899X/114/1/012085

来源: IOP

【 摘 要 】

This paper deals with the application of copula in maintenance contracts for a nonrepayable item. Failures of the item are modeled using a two dimensional approach where age and usage of the item and this requires a bi-variate distribution to modelling failures. When the item fails then corrective maintenance (CM) is minimally repaired. CM can be outsourced to an external agent or done in house. The decision problem for the owner is to find the maximum total profit whilst for the agent is to determine the optimal price of the contract. We obtain the mathematical models of the decision problems for the owner as well as the agent using a Nash game theory formulation.