NDLI: Nonlinear Integer Goal Programming Applied to Optimal System Reliability

Content Provider	IEEE Xplore Digital Library
Author	Hwang, C. L. Lee, Hoon Byung Tiliman, F. A. Lie, Chang Hoon
Copyright Year	1963
Abstract	Few studies have been done on techniques to solve multiple objective nonlinear integer problems. This paper formulates an algorithm for nonlinear integer goal programming using a branch-and-bound method and Hwang & Masud's nonlinear goal programming method. The application of this algorithm is demonstrated by solving reliability problems with single and multiple objectives. The single objective nonlinear integer problem is solved by the nonlinear integer goal programming taking the constraints at priority level one and the objective at priority level two. One interesting feature in this algorithm is that the problem is solved by traditional nonlinear search techniques, such as Hooke and Jeeves pattern search, that are originally intended for solving the ``unconstrained'' problem. However, there is no way to guarantee finding the global optimum for a given problem. This means that the investigator must usually be satisfied with a local optimum or a set of local optima.
Sponsorship	IEEE Reliability Society
Starting Page	431
Ending Page	438
Page Count	8
File Size	1109804
File Format	PDF
ISSN	00189529
Volume Number	R-33
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1984-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Integer linear programming Costs Mathematical programming Maintenance Statistics Reliability theory Linear programming Constraint optimization Nonlinear integer goal programming Optimal system reliability
Content Type	Text
Resource Type	Article
Subject	Safety, Risk, Reliability and Quality Electrical and Electronic Engineering

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