SciELO - Scientific Electronic Library Online

vol.22 issue2Demand categorisation, forecasting, and inventory control for intermittent demand itemsQuantifying suppliers' product quality: An exploratory product audit method author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand



Related links

  • On index processCited by Google
  • On index processSimilars in Google


South African Journal of Industrial Engineering

On-line version ISSN 2224-7890
Print version ISSN 1012-277X

S. Afr. J. Ind. Eng. vol.22 n.2 Pretoria  2011


Designing, modelling and optimising of an integrated reliability redundant system



G. SankaraiahI; B.D. SarmaII; C. UmasankarIII; V.S.S. YadavalliIV

IMechanical Engineering Department, G. Pulla Reddy Engineering College, Kurnool, A.P., India.
IIMechanical Engineering Department, Narayana Engineering College, Nellore, A.P., India.
IIIReliability and Statistical Quality Control Department, Rayalaseema University, Kurnool, A.P., India.
IVDepartment of Industrial and Systems Engineering, University of Pretoria, South Africa.




The reliability of a system is generally treated as a function of cost; but in many real-life situations reliability will depend on a variety of factors. It is therefore interesting to probe the hidden impact of constraints apart from cost - such as weight, volume, and space. This paper attempts to study the impact of multiple constraints on system reliability. For the purposes of analysis, an integrated redundant reliability system is considered, modelled and solved by applying a Lagrangian multiplier that gives a real valued solution for the number of components, for its reliability at each stage, and for the system. The problem is further studied by using a heuristic algorithm and an integer programming method, and is validated by sensitivity analysis to present an integer solution.


Die betroubaarheid van 'n sisteem word normaalweg as 'n funksie van koste beskou, alhoewel dit in baie gevalle afhang van 'n verskeidenheid faktore. Dit is dus interessant om die verskuilde impak van randvoorwaardes soos massa, volume en ruimte te ondersoek. Hierdie artikel poog om die impak van meervoudige randvoorwaardes op sisteem-betroubaarheid te bestudeer. Vir die ontleding, word 'n geïntegreerde betroubaarheid-sisteem met oortolligheid beskou, gemodelleer en opgelos aan die hand van 'n Lagrange-vermenigvuldiger. Die problem word verder bestudeer deur gebruik te maak van 'n heuristiese algoritme en heeltalprogrammering asook gevalideer by wyse van 'n sensitiwiteitsanalise sodat 'n heeltaloplossing voorgehou kan word.



“Full text available only in PDF format”




[1] Balaguruswamy, E. 2002. Reliability engineering, Tata McGraw Hill, New Delhi.         [ Links ]

[2] Aggarwal, K.K. & Gupta, J.S. 1975. On minimizing the cost of reliable systems, IEEE Transactions on Reliability, Vol. R-24, No.3.         [ Links ]

[3] Mishra, K.B. 1972. Reliability optimization of series-parallel system, IEEE Transactions on Reliability, Vol. R-21, No.4.         [ Links ]

[4] Misra, K.B. 1971. A method of solving redundancy optimization problems, IEEE Transactions on Reliability, Vol. R-20, No. 3.         [ Links ]

[5] Fan, L.T. & Wang, T. 1997. Optimization of system reliability, IEEE Transactions on Reliability, Vol. R-16.         [ Links ]

[6] Aggarwal, K.K., Mishra, K.B. & Gupta, T.S. 1975. Reliability evaluation: A comparative study of different techniques, Microelectronics and Reliability, Vol.14, pp 49-56        [ Links ]

[7] Mettas, A. 2000. Reliability allocation and optimization for complex systems, Proceedings of Annual Reliability and Maintainability Symposium, Los Angeles, California, USA.         [ Links ]

[8] Ushakov, L.L. 2002: Multi-state system reliability: From theory to practice. Proceedings of 3rd International Conference on Mathematical Methods in Reliability, Trondheim, Norway, pp 635-638        [ Links ]

[9] Kuo, W. & Rajendra Prasad, V., 2000. An annotated overview of system reliability optimization, IEEE Transactions on Reliability, Vol. 49, No. 2, pp 176-187        [ Links ]



Dedicated to Prof K. Adendorff on his 80th birthday

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License