NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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Program name | Package id | Status | Status date |
---|---|---|---|

SETS | NESC0623/02 | Tested | 19-NOV-1985 |

Machines used:

Package ID | Orig. computer | Test computer |
---|---|---|

NESC0623/02 | CDC CYBER 176 | CDC CYBER 740 |

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3. DESCRIPTION OF PROBLEM OR FUNCTION

SETS is used for symbolic manipulation of set (or Boolean) equations, particularly the reduction of set equations by the application of set identities. It is a flexible and efficient tool for performing probabilistic risk analysis (PRA), vital area analysis, and common cause analysis. The equation manipulation capabilities of SETS can also be used to analyze noncoherent fault trees and determine prime implicants of Boolean functions, to verify circuit design implementation, to determine minimum cost fire protection requirements for nuclear reactor plants, to obtain solutions to combinatorial optimization problems with Boolean constraints, and to determine the susceptibility of a facility to unauthorized access through nullification of sensors in its protection system.

SETS is used for symbolic manipulation of set (or Boolean) equations, particularly the reduction of set equations by the application of set identities. It is a flexible and efficient tool for performing probabilistic risk analysis (PRA), vital area analysis, and common cause analysis. The equation manipulation capabilities of SETS can also be used to analyze noncoherent fault trees and determine prime implicants of Boolean functions, to verify circuit design implementation, to determine minimum cost fire protection requirements for nuclear reactor plants, to obtain solutions to combinatorial optimization problems with Boolean constraints, and to determine the susceptibility of a facility to unauthorized access through nullification of sensors in its protection system.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Any properly

formed set equation involving the set operations of union,

intersection, and complement is acceptable for processing by the

SETS program. Restrictions on the size of a set equation that can

be processed are not absolute but rather are related to the number

of terms in the disjunctive normal form of the equation, the

number of literals in the equation, etc. Nevertheless, set

equations involving thousands and even hundreds of thousands of

terms can be processed successfully.

Any properly

formed set equation involving the set operations of union,

intersection, and complement is acceptable for processing by the

SETS program. Restrictions on the size of a set equation that can

be processed are not absolute but rather are related to the number

of terms in the disjunctive normal form of the equation, the

number of literals in the equation, etc. Nevertheless, set

equations involving thousands and even hundreds of thousands of

terms can be processed successfully.

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6. TYPICAL RUNNING TIME

Running time varies with respect to the particular set equations being processed and the symbolic manipulations being performed. Although no general rule for predicting run time is known, the reduction (expansion, simplification, and factorization) of a set equation usually requires more run time than other manipulations, and this time tends to increase as the number of terms in the disjunctive normal form of the set equation increases. NESC executed the SETS and FTD sample problem in 20 CP seconds on a CDC CYBER175. The SEP and FTD sample problems required 4 CP seconds and 1 CP second, respectively. The FTD sample problem was executed without plotting.

Running time varies with respect to the particular set equations being processed and the symbolic manipulations being performed. Although no general rule for predicting run time is known, the reduction (expansion, simplification, and factorization) of a set equation usually requires more run time than other manipulations, and this time tends to increase as the number of terms in the disjunctive normal form of the set equation increases. NESC executed the SETS and FTD sample problem in 20 CP seconds on a CDC CYBER175. The SEP and FTD sample problems required 4 CP seconds and 1 CP second, respectively. The FTD sample problem was executed without plotting.

NESC0623/02

NEA-DB executed the test cases for the different programs contained in this package on CDC CYBER 740. The following CPU times were required: SETS - 122 seconds; SEP - 24 seconds; FTD - 4 seconds.[ top ]

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8. RELATED AND AUXILIARY PROGRAMS

Two auxiliary programs, SEP and FTD, are included. SEP performs the quantitative analysis of reduced Boolean equations (minimal cut sets) produced by SETS. The user can manipulate and evaluate the equations to find the probability of occurrence of any desired event and to produce an importance ranking of the terms and events in an equation. FTD is a fault tree drawing program which uses the proprietary ISSCO DISSPLA graphics software to produce an annotated drawing of a fault tree processed by SETS. The DISSPLA routines are not included.

Two auxiliary programs, SEP and FTD, are included. SEP performs the quantitative analysis of reduced Boolean equations (minimal cut sets) produced by SETS. The user can manipulate and evaluate the equations to find the probability of occurrence of any desired event and to produce an importance ranking of the terms and events in an equation. FTD is a fault tree drawing program which uses the proprietary ISSCO DISSPLA graphics software to produce an annotated drawing of a fault tree processed by SETS. The DISSPLA routines are not included.

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10. REFERENCES

- D.W. Stack,

A SETS User's Manual Accident Sequence Analysis,

NUREG/CR-3547 (SAND83-2238), January 1984.

- R.B. Worrell,

SETS Tape Reference Manual,

(SAND83-2675), Draft to be published.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 1 - Main

Report,

NUREG/CR-3268/1 (SAND83-0963/1), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 2 -

Appendices A, B,and C,

NUREG/CR-3268/2 (SAND83-0963/2), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 3 - Appendice D, E, F, G, and H,

NUREG/CR-3268/3 (SAND83-0963/3), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 4 - Appendix

I,

NUREG/CR-3268/4 (SAND83-0963/4), August 1983.

- D.W. Stack,

A SETS User's Manual Accident Sequence Analysis,

NUREG/CR-3547 (SAND83-2238), January 1984.

- R.B. Worrell,

SETS Tape Reference Manual,

(SAND83-2675), Draft to be published.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 1 - Main

Report,

NUREG/CR-3268/1 (SAND83-0963/1), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 2 -

Appendices A, B,and C,

NUREG/CR-3268/2 (SAND83-0963/2), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 3 - Appendice D, E, F, G, and H,

NUREG/CR-3268/3 (SAND83-0963/3), August 1983.

- G.B. Varnado, W.H. Horton, and P.R. Lobner,

Modular Fault Tree Analysis Procedures Guide, Volume 4 - Appendix

I,

NUREG/CR-3268/4 (SAND83-0963/4), August 1983.

NESC0623/02, included references:

- M.D. Olman:Quantitative Fault Tree Analysis Using the Set Evaluation

Program (SEP).

NUREG/CR-1935 (SAND80-2712) (September 1982).

- R.B. Worrell:

SETS Reference Manual.

NUREG/CR-4213 (SAND83-2675) (May 1985)

- D.A. Oliver:

Fault Tree Drawing Program Users Instructions.

SLA-73-0409 (April 1973).

- A.W. Shiver:

Notes on Using the Fault Tree Drawing Program.

(June 25, 1981).

- L. Eyberger:

SETS Tape Description and Implementation Information.

NESC Note 85-68 (May 7, 1985).

- L. Eyberger:

Additional Material for SETS.

NESC Note 85-84 (August 12, 1985).

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11. MACHINE REQUIREMENTS

SETS requires 155,000 (octal) words of SCM and 12,000 (octal) words of LCM for execution. SEP requires 147,000 (octal) words of SCM and 230,000 (octal) words of LCM: FTD requires 70,000 (octal) words of SCM and 350,000 (octal) words of LCM.

SETS requires 155,000 (octal) words of SCM and 12,000 (octal) words of LCM for execution. SEP requires 147,000 (octal) words of SCM and 230,000 (octal) words of LCM: FTD requires 70,000 (octal) words of SCM and 350,000 (octal) words of LCM.

NESC0623/02

Main storage requirements to run the test cases on CDC CYBER 740 are: SETS - 202,600 (octal) words; SEP - 216,200 (octal) words; FTD - 211,000 (octal) words.[ top ]

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED

SCOPE 2.1 (CDC CYBER76) NOS 2.2 (CDC CYBER175), NOS 2.3(CDC CYBER180).

SCOPE 2.1 (CDC CYBER76) NOS 2.2 (CDC CYBER175), NOS 2.3(CDC CYBER180).

NESC0623/02

NOS 1.4+531.[ top ]

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

SETS

must be compiled with optimization level of 0 or 1. Full optimization (OPT=2) produces compiler table overflows.

A substantial reprogramming effort would be required to convert the SETS program to a machine that is not compatible with the CDC6600 due to the extensive use of masking instructions and the packing of data within the 60-bit word structure.

SETS

must be compiled with optimization level of 0 or 1. Full optimization (OPT=2) produces compiler table overflows.

A substantial reprogramming effort would be required to convert the SETS program to a machine that is not compatible with the CDC6600 due to the extensive use of masking instructions and the packing of data within the 60-bit word structure.

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NESC0623/02

File name | File description | Records |
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NESC0623_02.001 | information file | 91 |

NESC0623_02.002 | job control cards | 41 |

NESC0623_02.003 | SETS source program | 8087 |

NESC0623_02.004 | SETS test case user program | 7 |

NESC0623_02.005 | SETS test case fault tree data | 160 |

NESC0623_02.006 | SEP source program | 2290 |

NESC0623_02.007 | SEP test case input data | 18 |

NESC0623_02.008 | FTD source program | 2278 |

NESC0623_02.009 | FTD test case input data | 63 |

NESC0623_02.010 | dummy graphics routine | 42 |

NESC0623_02.011 | SETS test case printed output | 261 |

NESC0623_02.012 | SEP test case printed output | 167 |

NESC0623_02.013 | FTD test case printed output | 306 |

Keywords: fault tree analysis, mathematical logic, network analysis, reactor safety.