Dynamic Programming Formulation of the Redundancy Allocation Problem

REFERENCES

• Moskowitz , F. and McLean , J. B. 1956 . “ ‘Some reliability aspects of system design’ ” . In I.R.E. Transaction of Reliability and Quality Control 7 – 35 . PGRQC‐8
   Google Scholar
• Gordon , K. 1957 . ‘Optimum component redundancy for maximum system reliability’ . Ops Res , 5 : 229 – 243 .
   Web of Science ®Google Scholar
• Kettelle , J. D. 1967 . ‘Least cost allocation of reliability investment’ . Ops Res , 10 : 249 – 265 .
   Web of Science ®Google Scholar
• Proschan , F. and Bray , T. H. 1965 . ‘Optimum redundancy under multiple constraints’ . Ops Res , 13 : 800 – 814 .
   Web of Science ®Google Scholar
• Fan , L. T. , Wang , C. S. , Tillman , F. A. and Hwang , C. L. 1967 . ‘Optimisation of system reliability’ . I.E.E.E. Trans, on Reliability , R‐16 : 81 – 86 .
   Web of Science ®Google Scholar
• Tillman , F. A. , Hwang , C. L. , Fan , L. T. and Balbale , S. A. 1968 . ‘System reliability subject to multiple non‐linear constraints’ . I.E.E.E. Trans, on Reliability , R‐17 : 153 – 157 .
   Web of Science ®Google Scholar
• Tillman , F. A. and Liittschwager , J. M. 1967 . ‘Integer programming formulation of constrained reliability problems’ . Mgmt Sci , 13 : 887 – 899 .
   Google Scholar
• Mizukami , K. 1968 . ‘Optimum redundancy for maximum system reliability by the method of convex and integer programming’ . Ops Res , 16 : 392 – 406 .
   Web of Science ®Google Scholar
• Nemhauser , G. 1966 . Introduction to Dynamic Programming , London : Wiley .
   Google Scholar
• Bellman , R. E. and Dreyfus , S. E. 1958 . ‘Dynamic programming and the reliability of multicomponent devices’ . Ops Res , 6 : 200 – 206 .
   Web of Science ®Google Scholar
• Bellman , R. E. and Dreyfus , S. E. 1962 . Applied Dynamic Programming , Princeton : Princeton University Press .
   Google Scholar
• Hadley , G. 1964 . Non‐linear and Dynamic Programming , Reading, Massachusetts : Addison‐Wesley .
   Google Scholar