Multi-criteria-based optimal life-testing plans under hybrid censoring scheme

Ritwik Bhattacharya ^[1] ; Baidya Nath Saha ^[3] ; Graceila González Farías ^[3] ; Narayanaswamy Balakrishnan ^[2]
1. [1] Instituto Tecnológico y de Estudios Superiores de Monterrey
  
  Instituto Tecnológico y de Estudios Superiores de Monterrey
  
  México
2. [2] McMaster University
  
  McMaster University
  
  Canadá
3. [3] Centro de Investigación en Matemáticas (CIMAT), Monterrey, C.P. 66629, México
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Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 29, Nº. 2, 2020, págs. 430-453
Idioma: inglés
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Resumen
- In designing an optimal life-testing experiment under censoring setup, the design parameters are usually chosen by optimizing a suitable criterion function. The criterion function is chosen by using either a variance-based or a cost-based model, and sometimes a combination of both these factors. However, it is an optimization problem with a single objective function. In this article, a multi-criteria-based optimization problem is considered in the context of hybrid censored life-testing experiment. Both the variance and the cost factors are optimized simultaneously. The exact distribution of the maximum likelihood estimate of the lifetime model parameter is used to construct the optimality criteria. All the proposed methods are illustrated through numerical examples. One dataset is finally analyzed for real-life applications.