Integer Programming Formulation of Constrained Reliability Problems

F. A. Tillman and J. M. Liittschwager
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F. A. Tillman: Kansas State University
J. M. Liittschwager: University of Iowa

Management Science, 1967, vol. 13, issue 11, 887-899

Abstract: This paper investigates the solution by integer programming of reliability optimization problems which are subject to linear and nonlinear separable restraints. In particular, the following problems are solved: (1) maximizing reliability for a parallel redundancy system subject to multiple linear restraints, (2) minimizing cost of a parallel redundancy system subject to multiple nonlinear and separable restraint functions while maintaining an acceptable level of reliability, (3) optimal choice of design for a parallel redundancy system. Also discussed are the necessary alterations to the above formulations for problems involving standby redundant units.

Date: 1967
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