Journal ArticleDOI
A new geometric programming formulation for a reliability problem
Krishna B. Misra,Jaydev Sharma +1 more
TLDR
In this article, a new formulation for the problem of system reliability optimization when constrained by some linear constraints is presented, which is easily adaptable to geometric programming form and is further reduced to that of an optimization of an unconstrained objective function with variables one less than the number of constraints, when its dual is defined.Abstract:
A new formulation for the problem of system reliability optimization when constrained by some linear constraints is presented in this paper. The formulation provided is easily adaptable to geometric programming form. The problem is further reduced to that of an optimization of an unconstrained objective function with variables one less than the number of constraints, when its dual is defined. It is amply demonstrated through this paper that the formulation and approach of this paper are simpler than earlier attempts described elsewhere. An example is also given.read more
Citations
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Journal ArticleDOI
Optimization Techniques for System Reliability with RedundancyߞA Review
TL;DR: This paper is a state-of-art review of the literature related to optimal system reliability with redundancy and describes the current state of the art in this area.
Journal ArticleDOI
Solving reliability redundancy allocation problems using an artificial bee colony algorithm
Wei-Chang Yeh,Tsung-Jung Hsieh +1 more
TL;DR: Nonlinearly mixed-integer reliability design problems are investigated where both the number of redundancy components and the corresponding component reliability in each subsystem are to be decided simultaneously so as to maximize the reliability of the system.
Journal ArticleDOI
An efficient algorithm to solve integer-programming problems arising in system-reliability design
Krishna B. Misra,Usha Sharma +1 more
TL;DR: A simple and efficient technique for solving integer-programming problems that normally arise in system-reliability design is introduced, which quickly solves even a very large system problem.
Journal ArticleDOI
Genetic algorithms for reliability design problems
TL;DR: Numerical examples show that genetic algorithms perform well for all the reliability problems considered in this paper, and some solutions obtained by genetic algorithms are better than previously best-known solutions.
Journal ArticleDOI
IAs based approach for reliability redundancy allocation problems
TL;DR: A penalty guided artificial immune algorithm is presented for solving such mixed-integer reliability design problems where both the number of redundancy components and the corresponding component reliability in each subsystem are to be decided simultaneously so as to maximize the reliability of system.
References
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Journal ArticleDOI
Optimization of Systems Reliability
TL;DR: A simple computational procedure is obtained for the optimum design of the multistage parallel systems by this method and two numerical examples are given in detail.
Journal ArticleDOI
Integer Programming Formulation of Constrained Reliability Problems
TL;DR: Constrained reliability optimization problems solution by integer programming by noting parallel redundancy systems, formulation for standby redundant units and cost minimization as mentioned in this paper. But this problem is not applicable to our problem.
Journal ArticleDOI
A Method of Solving Redundancy Optimization Problems
TL;DR: The redundancy optimization problem is formulated as an integer programming problem of zero-one type variables and the solution is obtained making use of an algorithm due to Lawler and Bell.
Journal ArticleDOI
Use of Geometric Programming to Maximize Reliability Achieved by Redundancy
A. J. Federowicz,M. Mazumdar +1 more
TL;DR: This paper formulates the problem of optimum allocation of redundant elements in a simple series sytem maximizing system reliability subject to several linear cost constraints as a geometric programming problem, describes techniques for obtaining numerical solutions in general, and obtains asymptotic closed-form solutions.
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