A cost minimisation model for system reliability allocation
| Autor: | Sushil Kumar, L. Ganapathy, Omkarprasad S. Vaidya |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
021103 operations research Computer science Total cost Strategy and Management 0211 other engineering and technologies 02 engineering and technology Mathematical proof General Business Management and Accounting Minimisation (clinical trials) Exponential function Nonlinear optimization problem Nonlinear system symbols.namesake Exponential growth Lagrange multiplier symbols 021108 energy |
| Zdroj: | International Journal of Quality & Reliability Management. 36:1620-1643 |
| ISSN: | 0265-671X |
| DOI: | 10.1108/ijqrm-07-2018-0199 |
| Popis: | Purpose The purpose of this paper is to consider a nonlinear problem of minimizing the cost of providing reliable systems. The authors assume that the system consists of several components in series, and for each such component, the cost of the component increases exponentially with its reliability. Design/methodology/approach In order to solve this nonlinear optimization problem, the authors propose two approaches. The first approach is based on the concept of adjusting the reliability of a pair of components to minimize the cost of the system. The authors call this procedure as reliability adjustment routine (RAR). Proofs of optimality and convergence for the proposed model are also provided. The second approach solves the problem by using a Lagrangian multiplier. A procedure is developed to obtain the maximum step size to achieve the desired optimal solution in minimum iterations. Proposed approaches are efficient and give exact solutions. Findings Proposed methods enable a decision maker to allocate reliability to the components in series while minimizing the total cost of the system. The developed procedures are illustrated using a numerical example. Although an exponential relationship between the component cost and reliability is assumed, this can be extended to various other nonlinear distributions. Originality/value This cost optimization problem, subject to system component reliability values, assumes the near practical nonlinear pattern of cost vs reliability. Such problems are complex to solve. The authors provide a unique approach called RAR to solve such convoluted problems. The authors also provide an approach to solve such problems by using a Lagrangian multiplier method. Various proofs have been worked out to substantiate the work. |
| Databáze: | OpenAIRE |
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