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On Constrained Multicriteria-Based Planning for a Two-Parameter Exponential Distribution

Lookup NU author(s): Dr Kiran Prajapat

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Abstract

© 2025 John Wiley & Sons Ltd. In this article, we propose to plan an optimal life-testing experimental design under hybrid censoring scheme based on multicriteria optimization, where two objectives are simultaneously optimized. In order to do this, we outline a strategy for simultaneously optimizing two objectives as follows: the cost- and variance-based objective models. We present a methodology and algorithm for implementing the multicriteria optimization subject to two constraints. We consider first constraint on the overall budget to set up a life-testing experiment, and the second constraint is on the efficiency of lifetime model parameters' estimates based on the experimental design. In particular, a Type II hybrid censoring scheme with a two-parameter exponential distribution as the lifetime model is illustrated. Afterwards, a sensitivity analysis regarding the constraints, model parameters, and cost coefficients is performed. Furthermore, we examine the effects of model parameter mis-specification on the optimal designs and demonstrate the applicability of the proposed approach using a real lifetime data set. Finally, it is shown that the proposed algorithm converges in a finite number of steps.

Publication metadata

Author(s): Prajapat K, Mitra S, Kundu D

Publication type: Article

Publication status: Published

Journal: Quality and Reliability Engineering International

Year: 2025

Volume: 42

Issue: 1

Pages: 11-13

Print publication date: 01/02/2026

Online publication date: 08/09/2025

Acceptance date: 28/08/2025

ISSN (print): 0748-8017

ISSN (electronic): 1099-1638

Publisher: John Wiley and Sons Ltd

URL: https://doi.org/10.1002/qre.70067

DOI: 10.1002/qre.70067

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