We Are Living in a Yellow Submarine… (scientific-romantic Novella)

John D. Kettelle; Igor Ushakov

doi:10.66721/4k10jj89

Authors

John D. Kettelle Author
Igor Ushakov San Diego, USA Author

DOI:

https://doi.org/10.66721/4k10jj89

Abstract

We, John and Igor, have had perhaps a unique experience of technical cooperation that predated the end of the Cold War. This is a story about how those common interests have continued, with the hope that it can motivate and encourage more such shared work among countries (and corporations).

Initially, we planned to write something that was strictly technical. Now we ask that your forbearance for something more relaxed and personal. The mathematically inclined can go immediately to the description of the Kettelle algorithm in Appendix 1, and to its development in Appendix 2.

References

1. J.D. Kettele, Jr. Least-coast allocation of reliability investment. Operations Research, vol. 10, 1962. https://doi.org/10.1287/opre.10.2.249 DOI: https://doi.org/10.1287/opre.10.2.249

2. R.E. Bellman, S.E. Dreyfus. Dynamic programming and reliability of multicomponent devices. Operations Research, vol. 6, 1958. https://doi.org/10.1287/opre.6.2.200 DOI: https://doi.org/10.1287/opre.6.2.200

3. I. Ushakov (ed.) Optimal Problems of Reliability. Collection of papers. Standards, 1968.

4. I.A. Ushakov. A universal generating function . Soviet Journal of Computer and Systems Sciences, vol.24, 1986.

5. I.A. Ushakov. Optimal standby problem and a universal generating function . Soviet Journal of Computer and Systems Sciences, vol.25, 1987.

6. G. Levitin, A. Lisnianski. A new approach to solving problems of multistate system reliability optimization. Quality and Reliability Engineering International, vol.17, 2001 https://doi.org/10.1002/qre.388 DOI: https://doi.org/10.1002/qre.388

7. G. Levitin, A. Lisnianski, H.Ben-Haim, D.Elmakis. Redundancy optimization for seriesparallel multi-state systems. IEEE Transactions on Reliability vol. 47, 1998 https://doi.org/10.1109/24.722283 DOI: https://doi.org/10.1109/24.722283

8. G. Levitin. A universal generating function approach for analysis of multi-state systems with dependent elements. Reliability Engineering & System Safety, vol. 84, 2004. https://doi.org/10.1016/j.ress.2003.12.002 DOI: https://doi.org/10.1016/j.ress.2003.12.002

9. G. Levitin. The Universal Generating Function in Reliability Analysis and Optimization. Springer, 2005. https://doi.org/10.1007/1-84628-245-4 DOI: https://doi.org/10.1007/1-84628-245-4

10. H.H. Good and R.E. Machol. System Engineering: An Introduction to the Design of LargeScale Systems. McGraw-Hill, N.Y., 1957.