Determination of Optimum Warranty Region for Two Dimensional Dependent Data
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911011605315584 |
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| author | Das, Rathin Sen, Tanmay Bhattacharya, Ritwik Pradhan, Biswabrata |
| author_facet | Das, Rathin Sen, Tanmay Bhattacharya, Ritwik Pradhan, Biswabrata |
| contents | This paper presents a method for determining the optimal two-dimensional warranty region for age and mileage scales across all possible combinations of free replacement warranty (FRW), prorata warranty (PRW), and FRW-PRW combined policies. The operational time or lifetime and usage of the products are modeled using a bivariate Gumbel copula with Weibull as the marginal distribution. The optimal warranty region is derived by maximizing an expected utility function, which incorporates two cost components: the economic benefit function and the warranty cost function, specifically constructed for the two-dimensional warranty scenario. To obtain the optimal warranty region, a real-world dataset of traction motors, including age and mileage information, is analyzed. The results show that considering a two-dimensional warranty cost function yields the highest utility compared to all other scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Determination of Optimum Warranty Region for Two Dimensional Dependent Data Das, Rathin Sen, Tanmay Bhattacharya, Ritwik Pradhan, Biswabrata Applications This paper presents a method for determining the optimal two-dimensional warranty region for age and mileage scales across all possible combinations of free replacement warranty (FRW), prorata warranty (PRW), and FRW-PRW combined policies. The operational time or lifetime and usage of the products are modeled using a bivariate Gumbel copula with Weibull as the marginal distribution. The optimal warranty region is derived by maximizing an expected utility function, which incorporates two cost components: the economic benefit function and the warranty cost function, specifically constructed for the two-dimensional warranty scenario. To obtain the optimal warranty region, a real-world dataset of traction motors, including age and mileage information, is analyzed. The results show that considering a two-dimensional warranty cost function yields the highest utility compared to all other scenarios. |
| title | Determination of Optimum Warranty Region for Two Dimensional Dependent Data |
| topic | Applications |
| url | https://arxiv.org/abs/2506.15152 |