Title: Multi-stage mixed system optimal redundancy allocation problem via random-fuzzy credibility measure

Authors: Dipak Kumar Jana; Souvik Samanta; Amit Roy

Addresses: Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur 721657, West Bengal, India ' Department of Mechanical Engineering, Haldia Institute of Technology, Haldia, Purba Midnapur 721657, West Bengal, India ' Department of Mechanical Engineering, Haldia Institute of Technology, Haldia, Purba Midnapur 721657, West Bengal, India

Abstract: In this paper, an Optimal Redundancy Allocation Problem (OPAP), modelled as a non-linear integer-programming problem is formulated and solved. Here, costs and resources are random fuzzy in nature. The OPAP is formulated as a decision-making model optimising Possibilistic Value at Risk (pVaR) by incorporating the concept of Value at Risk (VaR) into possibility and necessity measure theory. The reduced deterministic constrained problem is solved using Generalised Reduced Gradient (GRG) method (LINGO-14). Some particular models are presented. The models are illustrated with numerical examples and some sensitivity analysis is made on damageability.

Keywords: optimal redundancy allocation; reliability; random fuzzy variables; possibility; neccessity; random fuzzy credibility measures; fuzzy logic; modelling; nonlinear integer programming; possibilistic VaR; value at risk; pVaR; generalised reduced gradient; GRG.

DOI: 10.1504/IJRS.2014.069512

International Journal of Reliability and Safety, 2014 Vol.8 No.2/3/4, pp.156 - 173

Received: 28 Apr 2014
Accepted: 05 Nov 2014
Published online: 20 May 2015 *

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