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Allocation of tasks for reliability growth using multi-attribute utility

Lookup NU author(s): Dr Kevin Wilson



This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).


In reliability growth models in particular, and project risk management more generally, improving the reliability of a system or product is limited by constraints on cost and time. There are many possible tasks which can be carried out to identify and design out weaknesses in the system under development. This paper considers the allocation problem: which subset of tasks to undertake. While the method is applicable to project risk management generally, the work has been motivated by reliability growth programmes. We utilise a model for reliability growth, based on an efficacy matrix, developed with engineering experts in the aerospace industry. We develop a general multi-attribute utility function based on targets for cost, time on test and system reliability. The optimal subset is identified by maximising the prior expected utility. We derive conditions on the model parameters for risk aversion and loss aversion based on observed properties of preference. We give conditions for multivariate risk aversion under the general form of the utility function. The method is illustrated using an example informed by work with aerospace organisations.

Publication metadata

Author(s): Wilson KJ, Quigley J

Publication type: Article

Publication status: Published

Journal: European Journal of Operational Research

Year: 2016

Volume: 255

Issue: 1

Pages: 259-271

Print publication date: 16/11/2016

Online publication date: 27/05/2016

Acceptance date: 07/05/2016

Date deposited: 09/05/2016

ISSN (print): 0377-2217

ISSN (electronic): 1872-6860

Publisher: Elsevier


DOI: 10.1016/j.ejor.2016.05.014


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