Skip to main content
SpringerLink
Log in

L.A.M. Technique: Systematic Generation of Logical Structures in Systems Reliability Studies

  • Chapter
Synthesis and Analysis Methods for Safety and Reliability Studies

Summary

A new approach for the reliability analysis of coherent and non-coherent systems is presented with regard to the problem of the systematic generation of failure logical structures. In particular, this methodology allows us to derive the logical behaviour of the system by means of the physical behaviour of its components.

To this end, suitable component failure-dependent analytical models are constructed to describe the component behaviour under normal and failure conditions. These models constitute, in their whole, a set of parametric equations describing the normal and failure behaviour of the whole system.

Starting from the considered component failure events, all the possible configurations of the system hypothetical failure structures are automatically generated in a controlled way. Now, by definition, to each given logical structure it corresponds a specific set of equations. Thus, the comparison of the corresponding numerical solution with analytically defined critical TOP conditions allows TOP and/or NON-TOP sets of events to be identified.

An application to the study of a simplified mixing circuit of an ethylene oxide production plant is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. G. Bennets, On the analysis of fault trees, IEEE Trans, on Rel., R-24/3 (1975).

    Google Scholar 

  2. Z. W. Birnbaum, Theory of Reliability for Coherent Structures, Report 41, Dept. of Mathematics, University of Washington, Seattle, (1965).

    Google Scholar 

  3. D. B. Brown, A computerized algorithm for determining the reliability of redundant configurations, IEEE Trans, on Rel., R-20, 121: 124 (1971).

    Google Scholar 

  4. A. Carnino, Safety Analysis Using Fault-Trees, NATO Advanced Study Inst, on Generic Techniques of System Reliability Assessment, Nordhoff Publishing Company (1974).

    Google Scholar 

  5. A. G. Colombo, Cadi - A Computer Code for System Availability and Reliability Evaluation, Report EUR 49400 (1973).

    Google Scholar 

  6. A. G. Colombo, G. Volta, Sensitivity Analysis in Systems Reliability Evaluation, J.R.C. Annual Report, Ispra (1973).

    Google Scholar 

  7. A. G. Colombo, G. Volta, Multistep Reliability Analysis and Optimization of Complex Systems, Proc. of the OECD-NEA Specialist Meeting on Reliability, Liverpool (1974).

    Google Scholar 

  8. J. B. Fussell, Fault tree analysis: concepts and techniques, NATO Advanced Study Inst, on Generic Techniques of System Reliability Assessment, Nordhoff Publishing Company (1974).

    Google Scholar 

  9. J. B. Fussell, Synthetic tree model: A formal methodology for fault tree construction, Aerojet Nuclear Report ANCR 01098 (1973).

    Google Scholar 

  10. J. B. Fussell, A Formal Methodology for Fault Tree Construction, Nuc. Sc. and Eng., 52 (1973).

    Google Scholar 

  11. J. B. Fussell, W. E. Vesely, A New Methodology for Obtaining Cut Sets for Fault Trees, Trans. Am. Nucl. Soc., 15 (1972).

    Google Scholar 

  12. J. B. Fussell, G. J. Powers, R.G. Bennetts, Fault Trees: A State of the Art Discussion, IEEE Trans, on Rel. R-23/1 (1974).

    Google Scholar 

  13. S. L. Gandhi, K. Inoue, E.J. Henley, Computer Aided System Reliability Analysis and Optimization, Proc. of the IFIP Working Conference on Principles of Computer Aided Design, Eindoven (1972).

    Google Scholar 

  14. S. Garribba, G. Reina, G. Volta, Repair Processes: Fundamental and Computation, EUR 5232e Ispra (1974).

    Google Scholar 

  15. S. Garribba, G. Reina, G. Volta, Availability of Repairable Units when Failure and Restoration Rates Age in Real Time, IEEE Trans, on Rel., R-25 (1976).

    Google Scholar 

  16. S. Garribba, P. Mussio, F. Naldi, G. Reina, Determinazione Diretta degli Insiemi Minimi di taglio di Alberi Logici, CESNEF IN-006 (1974).

    Google Scholar 

  17. S. Garribba, P. Mussio, F. Naldi, G. Reina, G. Volta, Efficient Construction of Minimal Cut Sets from Fault Trees, IEEE Trans, on Rei. R-26/2 (1977).

    Google Scholar 

  18. S. Garribba, P. Mussio, F. Naldi, G. Reina, G. Volta, Dicomics: An Algorithm for Direct Computation of Minimal Cut Sets of Fault Trees, EUR 5481e, Ispra (1976).

    Google Scholar 

  19. S. Garribba, G. Reina, Fault Tree Sensitivity Analysis for Reliability Calculation in Nuclear Power Plants, IAEA RC 1651/RB (1976).

    Google Scholar 

  20. B. J. Garrick, Principles of Unified Systems Safety Analysis, Nucl. Eng. and Des., 13, 245: 321 (1974).

    Google Scholar 

  21. W. Y. Gateley, D.W. Stoddard, R. L. Williams, GO: A Computer Program for Reliability Analysis of Complex Systems, Kaman Sciences Corporation, Colorado Springs, KN-67-704(R) (1968).

    Google Scholar 

  22. D. F. Haasl, Advanced Concept in Fault Tree Analysis, System Safety Symposium (available from the University of Washington Library), Seattle (1965).

    Google Scholar 

  23. F. J. Henley, R.A. Williams, Graph Theory in Modern Engineering, Academic Press, New York (1973).

    Google Scholar 

  24. R. B. Hurley, Probability maps, IEEE Trans, on Rei., R-12, 39: 44 (1963).

    Google Scholar 

  25. B. V. Koen, Méthodes Nouvelles pour l’Evalutation de la Fiabilité: Reconnaissance des Formes, CEA-R-4368 (1972).

    Google Scholar 

  26. H. E. Kongso, REDIS: a Computer Program for System Reliability Analysis by Direct Simulation, International Symposium on Reliability of Nuclear Power Plants, Innsbruck, IAEA- SM-195/17 (1975).

    Google Scholar 

  27. H. E. Lambert, Systems Safety Analysis and Fault Tree Analysis, UCID-16238 (available from the Lawrence Livermore Laboratories, Livermore, Calif. ) (1973).

    Google Scholar 

  28. P. M. Lin, G. E. Alderson, Symbolic Network Functions by a Single Path Finding Algorithm, Proc. 7th Allerton Conf. on Circuits and Systems, 196:205, Univ. of Illinois, Urbana (1969).

    Google Scholar 

  29. P. M. Lin, B. J. Leon, T. C. Huang, A New Algorithm for Symbolic System Reliability Analysis, IEEE Trans, on Rei., R-25/1 (1976).

    Google Scholar 

  30. C. W. Mcknight, Automatica Reliability Mathematical Model, North American Aviation, Downey California, NA 66 838 (1966).

    Google Scholar 

  31. K. B. Misra, An Algorithm for the Reliability Evaluation of Redundant Networks, IEEE Trans. on Rel., R-19, 146: 151 (1970).

    Google Scholar 

  32. D. S. Nielsen, O. Platz, B. Runge, A Cause-Consequence Chart of a Redundant Protection System, IEEE Trans, on Rel. R-24, 8: 13 (1975).

    Google Scholar 

  33. D. S. Nielsen, The Cause-Consequence Diagram Method as a Basis for Quantitative Reliability Analysis, ENEA/CREST Meeting on Applicability of Quantitative Reliability Analysis of Complex Systems and Nuclear Plants in its Relation to Safety, Munich (1971).

    Google Scholar 

  34. D. S. Nielsen, Use of Cause-Consequence Charts in Practical Systems Analysis, Conference on Rel. and Fault Tree Analysis, Berkeley, California (1974).

    Google Scholar 

  35. P. K. Pande, Computerized Fault Tree Analysis: TREEL and MICSUP, Operation Research Center, Univ. of California, Berkeley, ORC 75 - 3 (1975).

    Google Scholar 

  36. E. Phibbs, S. H. Kuwamoto, An Efficient Map Method for Processing Multistate Logic Trees, IEEE Trans, on Rel., R-21, 93: 98 (1972).

    Google Scholar 

  37. E. Phibbs, S. H. Kuwamoto, Fault Tree Analysis, IEEE Trans, on Rel., R-23, 226 (1974).

    Google Scholar 

  38. G. J. Powers, S. A. Lapp, Quantitative Safety Assessment of Chemical Processes, U.S.-Japan Joint Seminar on Application of Process System Engineering to Chemical Technology Assessment, Kyoto, Japan, (1975).

    Google Scholar 

  39. G. J. Powers, F.C. Tompkins Jr., Fault Tree Synthesis for Chemical Processes, AICHE Journal, 20 /2, 376 (1974).

    Article  Google Scholar 

  40. G. J. Powers, F. C. Tompkins Jr., A Synthesis Strategy for Fault Trees in Chemical Processing Systems: Loss Prevention, Chem. Eng. Progress Techn. Manual, 8, AICHE, New York (1974).

    Google Scholar 

  41. G. J. Powers, F. C. Tompkins Jr., Computer Aided Synthesis of Fault Trees for Complex Processing System, Proc. NATO Advanced Study Inst, on Systems Reliability, Liverpool (1973).

    Google Scholar 

  42. G. Reina, Sul problema della descrizione e della rappresentazione di un sistema: Approccio logico analitico per la costruzione di alberi degli eventi e fault trees, Proc. of the ANIPLA Meeting on Reliability, Milan (1977).

    Google Scholar 

  43. G. Reina, G. Squellati, LAM: A New Logical Analitical Methodology for Synthetic System Representation, Institute on Safety and Risk Assessment in Chemical Plants, Sogesta, Urbino, Italy (1978).

    Google Scholar 

  44. G. REINA, Codice DSC per l’analisi probabilistica di Sistemi Complessi, ARS RT 75/19 (1974).

    Google Scholar 

  45. E. T. Rumble, F. L. Leverenz, R.C. Erdmann, Generalized Fault Tree Analysis for Reactor Safety, EPRI 217-2-2, Palo Alto (1975).

    Google Scholar 

  46. S. L. Salem, G. E. Apostolakis, D. Okrent, A Computer-Oriented Approach to Fault-Tree Construction, EPRI NP-288, Palo Alto (1976).

    Google Scholar 

  47. S. L. Salem, G. E. Apostolakis, D. Okrent, A New Methodology for the Computer-Aided Construction of Fault Trees, Annals of Nuclear Energy, 4, 417: 433 (1977).

    Google Scholar 

  48. S. N. Semanderes, ELRAFT: A Computer Program for the Efficient Logic Reduction Analysis of Fault Trees, IEEE Trans, on Nucl. Sc., NS-18/1, 481: 487 (1971).

    Google Scholar 

  49. R. J. Shroeder, Fault Trees for Reliability Analysis, R 70-15078 ASQC 821:844, Proc. of the Annual Symposium on Rel., Los Angeles (1970).

    Google Scholar 

  50. J. R. Taylor, Sequential Effects in Failure Mode Analysis, Conference on Rel. and Fault Tree Analysis, Berkeley (1974).

    Google Scholar 

  51. J. R. Taylor, A Semiautomatic Method for Qualitative Failure Mode Analysis, CSNI Specialist Meeting on the Development and Application of Rel. Tech. to Nuclear Plants, Riso M1707 (1974).

    Google Scholar 

  52. J. R. Taylor, E. Hollo, Algorithms and Programs for Consequence Diagram and Fault Trees Construction, Riso M1907 (1977).

    Google Scholar 

  53. W. J. van Slyke, D. E. Griffing, ALLCUTS: A Fast Comprehensive Fault Tree Analysis Code, Atlantic Richfield Hanford Company, Richland, Washington, ARH-ST-112 (1975).

    Google Scholar 

  54. W. E. Vesely, A Time-Dependent Methodology for Fault Tree Evaluation, Nuc. Eng. and Des., 13 (1970).

    Google Scholar 

  55. W. E. Vesely, R. E. Narum, PREP and KITT: Computer Codes for the Automatic Evaluation of a Fault Tree, Idaho Nuclear Report N-1349 (1970).

    Google Scholar 

  56. O. Wing, P. Demetriou, Analysis of Probabilistic Network, IEEE Trans. Comm. Tech., COM-12, 38: 40 (1964).

    Google Scholar 

  57. E. R. Woodcock, The Calculation of Reliability of Systems: The Program NOTED, UKAEA Authority Health and Safety Branch, Risley, Warrington, England, AHSB (S) R 153 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Biomathematics Inst. of Pharmacology, University of Milan, Via Vanvitelli 32, Milan, Italy

    Giuseppe Reina

  2. ARS S.p.A., Milan, Italy

    Giuseppe Squellati

Authors
  1. Giuseppe Reina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Giuseppe Squellati
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of California, 5532, Boelter Hall, Los Angeles, California, USA

    G. Apostolakis

  2. CESNEF - Politecnico di Milano, Via G. Ponzio 34/3, 20133, Milano, Italy

    S. Garribba

  3. C.E.C. Joint Research Centre, Ispra Establishment, 21020, Ispra (VA), Italy

    G. Volta

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Plenum Press, New York

About this chapter

Cite this chapter

Reina, G., Squellati, G. (1980). L.A.M. Technique: Systematic Generation of Logical Structures in Systems Reliability Studies. In: Apostolakis, G., Garribba, S., Volta, G. (eds) Synthesis and Analysis Methods for Safety and Reliability Studies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3036-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3036-3_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3038-7

  • Online ISBN: 978-1-4613-3036-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation