{"id":430790,"date":"2024-10-20T07:24:44","date_gmt":"2024-10-20T07:24:44","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/bs-en-iec-611242023\/"},"modified":"2024-10-26T14:04:56","modified_gmt":"2024-10-26T14:04:56","slug":"bs-en-iec-611242023","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/bsi\/bs-en-iec-611242023\/","title":{"rendered":"BS EN IEC 61124:2023"},"content":{"rendered":"

This International Standard gives a number of optimized test plans, the corresponding border lines and characteristics. In addition the algorithms for designing test plans using a spreadsheet program are also given, together with guidance on how to choose test plans. This standard specifies procedures to test whether an observed value of – failure rate, – failure intensity, – mean operating time to failure (MTTF), – mean operating time between failures (MTBF), conforms to a given requirement. It is assumed, except where otherwise stated, that during the accumulated test time, the times to failure or the operating times between failures are independent and identically exponentially distributed. This assumption implies that the failure rate or failure intensity is assumed to be constant. Four types of test plans are described as follows: – truncated sequential probability ratio test (SPRT); – fixed time\/failure terminated test (FTFT); – fixed calendar time terminated test without replacement; – combined test. This standard does not cover guidance on how to plan, perform, analyse and report a test. This information can be found in IEC 60300-3-5. This standard does not describe test conditions. This information can be found in IEC 60605-2 and in IEC 60300-3-5.<\/p>\n

PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
2<\/td>\nundefined <\/td>\n<\/tr>\n
5<\/td>\nAnnex ZA (normative)Normative references to international publicationswith their corresponding European publications <\/td>\n<\/tr>\n
6<\/td>\nBlank Page <\/td>\n<\/tr>\n
7<\/td>\nEnglish
CONTENTS <\/td>\n<\/tr>\n
11<\/td>\nFOREWORD <\/td>\n<\/tr>\n
13<\/td>\nINTRODUCTION <\/td>\n<\/tr>\n
15<\/td>\n1 Scope
2 Normative references <\/td>\n<\/tr>\n
16<\/td>\n3 Terms, definitions, abbreviated terms and symbols
3.1 Terms and definitions
3.2 Abbreviated terms and symbols
3.2.1 Abbreviated terms
3.2.2 Symbols <\/td>\n<\/tr>\n
18<\/td>\n4 General requirements and area of application
4.1 Requirements and characteristics
4.2 Applicability to replaced and repaired items <\/td>\n<\/tr>\n
19<\/td>\n4.3 Types of test plans
4.3.1 General
4.3.2 Advantages and disadvantages of the different test plan types <\/td>\n<\/tr>\n
20<\/td>\nTables
Table 1 \u2013 Advantages and disadvantages for the different test plan types <\/td>\n<\/tr>\n
21<\/td>\n5 General test procedure
5.1 Test conditions
Figures
Figure 1 \u2013 Relative ETT (Te*\/m0) and MaxTT (Tt*\/m0) of various tests with the same risks <\/td>\n<\/tr>\n
22<\/td>\n5.2 General characteristics of the test plans
5.3 Data to be recorded
5.4 Calculation of accumulated test time, T* <\/td>\n<\/tr>\n
23<\/td>\n5.5 Number of failures
6 Truncated sequential probability ratio test (SPRT) plans
6.1 General <\/td>\n<\/tr>\n
24<\/td>\n6.2 Common test procedure
6.3 Decision criteria <\/td>\n<\/tr>\n
25<\/td>\n6.4 Operating characteristic (OC) curve
Figure 2 \u2013 SPRT diagram and test example
Table 2 \u2013 OC curve <\/td>\n<\/tr>\n
26<\/td>\n6.5 Expected accumulated test time to decision (ETT)
Figure 3 \u2013 OC curve, Pa
Table 3 \u2013 Relative ETT versus m\/m0 <\/td>\n<\/tr>\n
27<\/td>\n6.6 Overview of test plans
Figure 4 \u2013 SPRT \u2013 Curve of expected accumulated test time to decision (ETT) <\/td>\n<\/tr>\n
28<\/td>\nTable 4 \u2013 Overview of type A SPRT plans <\/td>\n<\/tr>\n
30<\/td>\n7 Fixed time\/failure terminated test plans \u2013 Fixed duration (to acceptance) test plans
7.1 General
Table 5 \u2013 Overview of type C SPRT plans <\/td>\n<\/tr>\n
31<\/td>\n7.2 Common test procedure
7.3 Decision criteria
7.4 Test plans <\/td>\n<\/tr>\n
32<\/td>\n8 Design of alternative time\/failure terminated test plans (FTFT)
8.1 General
8.2 Design procedures
Table 6 \u2013 Type B FTFT plans <\/td>\n<\/tr>\n
33<\/td>\n8.3 Common FTFT procedure
8.4 Decision criteria
9 Calendar time\/failure terminated test plans (FTFT) for non-replaced items
9.1 General <\/td>\n<\/tr>\n
34<\/td>\n9.2 Common test procedure
9.3 Decision criteria
9.4 Use of IEC 61123:2019, Table 5 for fixed calendar time tests
9.4.1 General <\/td>\n<\/tr>\n
35<\/td>\n9.4.2 Procedure when the test time is given
9.4.3 Procedure when the number of items is given
10 Combined test plans
10.1 General
10.2 Common test procedure <\/td>\n<\/tr>\n
36<\/td>\n10.3 Decision criteria
10.4 Test plans
Figure 5 \u2013 Example of a decision graph for combinedtest plan (type D) and for SPRT type C <\/td>\n<\/tr>\n
37<\/td>\n11 Performing the test and presenting the results
Table 7 \u2013 Overview of type D combined plans <\/td>\n<\/tr>\n
38<\/td>\nAnnex A (normative)Tables for border lines of SPRT plans (types A and C)
A.1 Symbols
A.2 Border lines <\/td>\n<\/tr>\n
39<\/td>\nFigure A.1 \u2013 Decision graph of SPRT plan <\/td>\n<\/tr>\n
40<\/td>\nTable A.1 \u2013 Constants for border line formulae and their coordinatesfor type A SPRT plans <\/td>\n<\/tr>\n
41<\/td>\nTable A.2 \u2013 Constants for border line formulae and their coordinatesfor type C SPRT plans <\/td>\n<\/tr>\n
42<\/td>\nA.3 Example of the SPRT plan from Clause 6 <\/td>\n<\/tr>\n
43<\/td>\nTable A.3 \u2013 Example for SPRT using test plan A.41 (with example data) <\/td>\n<\/tr>\n
44<\/td>\nAnnex B (normative)Tables and graphs for combined test plans (type D)
B.1 General
Table B.1 \u2013 Combined test plans in \u200eAnnex B <\/td>\n<\/tr>\n
45<\/td>\nTable B.2 \u2013 Type D test plans \u2013 Accept and reject lines <\/td>\n<\/tr>\n
46<\/td>\nB.2 Test plans D.3 and C.3 (\u03b1 = \u03b2 = 10 %, D = 1,7)
Table B.3 \u2013 Expected accumulated test time to acceptance decision,Te*(+), for D and C test plans <\/td>\n<\/tr>\n
47<\/td>\nTable B.4 \u2013 Accept and reject lines for D.3 and C.3 test plans <\/td>\n<\/tr>\n
48<\/td>\nFigure B.1 \u2013 Expected accumulated test time to acceptance decision,Te*(+) for D.3 and C.3 test plans
Figure B.2 \u2013 Operating characteristic Pa for D.3 and C.3 test plans <\/td>\n<\/tr>\n
49<\/td>\nAnnex C (informative)Extension of the set of SPRTs type A
C.1 Symbols
C.2 Extension of the set of type A tests (through interpolation by \u03b1 and \u03b2 ) <\/td>\n<\/tr>\n
51<\/td>\nTable C.1 \u2013 Example for interpolation by \u03b1 and \u03b2 <\/td>\n<\/tr>\n
52<\/td>\nAnnex D (informative)Approximation of operating characteristic fortype A SPRTs by Wald’s formula
D.1 Symbols
D.2 Approximations of OC in this document
D.3 Approximation of OC for type A SPRT by Wald’s formula <\/td>\n<\/tr>\n
53<\/td>\nFigure D.1 \u2013 Approximation of OC for type A SPRT using Wald’s formula <\/td>\n<\/tr>\n
54<\/td>\nD.4 Construction of the approximated OC curve using a spreadsheet <\/td>\n<\/tr>\n
55<\/td>\nTable D.1 \u2013 Spreadsheet set-up for construction of the OC curve by Wald
Table D.2 \u2013 Formulae embedded in the spreadsheet <\/td>\n<\/tr>\n
56<\/td>\nAnnex E (informative)Mathematical references and examples forfixed time\/failure terminated test (FTFT) plans
E.1 Symbols
E.2 Mathematical references
E.2.1 General
E.2.2 Mathematical references <\/td>\n<\/tr>\n
59<\/td>\nE.2.3 Design procedure {a}
Table E.1 \u2013 List of the typical FTFT design procedures <\/td>\n<\/tr>\n
60<\/td>\nE.2.4 Design procedure {b}
E.2.5 Design procedure {c} <\/td>\n<\/tr>\n
61<\/td>\nE.2.6 Design procedure {d}
E.3 Examples of FTFT design using test plans B
E.3.1 Example 1 <\/td>\n<\/tr>\n
62<\/td>\nE.3.2 Example 2
Figure E.1 \u2013 Example 1 \u2013 Expected accumulated test timeto decision (ETT) of tests B.2 and A.25 <\/td>\n<\/tr>\n
63<\/td>\nE.4 Test OC approximation using formula for FTFT
Figure E.2 \u2013 Example 1 \u2013 Operating characteristic of tests B.2 and A.25 <\/td>\n<\/tr>\n
64<\/td>\nAnnex F (informative)Examples of FTFT design using a spreadsheet program
F.1 General <\/td>\n<\/tr>\n
65<\/td>\nTable F.1 \u2013 Set-up of the spreadsheet with embedded formulae <\/td>\n<\/tr>\n
66<\/td>\nF.2 Finding the test border lines using optimization on the example of the design procedure {b}
Table F.2 \u2013 Formulae embedded in the spreadsheet <\/td>\n<\/tr>\n
67<\/td>\nTable F.3 \u2013 Fragment from Table 6 <\/td>\n<\/tr>\n
68<\/td>\nF.3 ETT and OC curves
Figure F.1 \u2013 Using Solver to find Tt*\/m0 \u2013Accumulated test truncation time in terms of m0 <\/td>\n<\/tr>\n
69<\/td>\nFigure F.2 \u2013 ETT plotted from the spreadsheet calculations
Figure F.3 \u2013 OC curve plotted from the spreadsheet calculations <\/td>\n<\/tr>\n
70<\/td>\nF.4 Example of FTFT design by procedure {a}
Table F.4 \u2013 Set-up 1 of the spreadsheet for example by procedure {a} <\/td>\n<\/tr>\n
71<\/td>\nFigure F.4 \u2013 Using Solver to find Tt*\/m0 and c in Step {a1}
Table F.5 \u2013 Set-up 2 of the spreadsheet for example by procedure {a} <\/td>\n<\/tr>\n
72<\/td>\nF.5 Example of FTFT design by procedure {c}
Figure F.5 \u2013 Using Solver to find Tt*\/m0 in Step {a2}
Table F.6 \u2013 Set-up 3 (final solution) for example by procedure {a} <\/td>\n<\/tr>\n
73<\/td>\nTable F.7 \u2013 Set-up 2 for example by procedure {c} <\/td>\n<\/tr>\n
74<\/td>\nF.6 Example of FTFT design by procedure {d}
Figure F.6 \u2013 Using Solver to find Tt*\/m0 in Step {c2}
Table F.8 \u2013 Set-up 3 (final solution) for example by procedure {c} <\/td>\n<\/tr>\n
75<\/td>\nTable F.9 \u2013 Set-up 1 of the spreadsheet for example by procedure {d} <\/td>\n<\/tr>\n
76<\/td>\nFigure F.7 \u2013 Using Solver to find D and c in Step {d1}
Table F.10 \u2013 Set-up 2 of the spreadsheet for example by procedure {d} <\/td>\n<\/tr>\n
77<\/td>\nF.7 Example of a test with replacement of failed items
Figure F.8 \u2013 Using Solver to find D and Tt* in Step {d2}
Table F.11 \u2013 Set-up 3 (final solution) for example by procedure {d} <\/td>\n<\/tr>\n
78<\/td>\nF.8 Evaluation of an approximate OC for non-FTFT plans using a spreadsheet <\/td>\n<\/tr>\n
79<\/td>\nTable F.12 \u2013 Set-up of the spreadsheet with embedded formulae from Clause F.8 <\/td>\n<\/tr>\n
80<\/td>\nFigure F.9 \u2013 Using Solver to find c and Tt*\/m0 from Clause F.8
Table F.13 \u2013 Set-up 1 of the spreadsheet from Clause F.8 <\/td>\n<\/tr>\n
81<\/td>\nTable F.14 \u2013 Set-up 2 of the spreadsheet for example from Clause F.8 <\/td>\n<\/tr>\n
82<\/td>\nFigure F.10 \u2013 OC approximated by formula for FTFT (example from Clause F.8) <\/td>\n<\/tr>\n
83<\/td>\nAnnex G (informative)Examples and mathematical references forthe calendar time terminated test plans
G.1 Examples
G.1.1 Example 1
G.1.2 Example 2 <\/td>\n<\/tr>\n
84<\/td>\nG.2 Mathematical background <\/td>\n<\/tr>\n
85<\/td>\nAnnex H (informative)Derivation and mathematical reference for the optimized test plansof GOST R 27 402 [12]
H.1 Symbols <\/td>\n<\/tr>\n
86<\/td>\nH.2 Test plan types and terminology
H.3 Introductory remarks
Figure H.1 \u2013 Test plan types and terminology <\/td>\n<\/tr>\n
87<\/td>\nH.4 Procedure used for developing the optimized test plans <\/td>\n<\/tr>\n
88<\/td>\nFigure H.2 \u2013 Principle of test plans
Figure H.3 \u2013 Partitioning of the test plan graph
Figure H.4 \u2013 Interior nodes and border nodes <\/td>\n<\/tr>\n
89<\/td>\nFigure H.5 \u2013 Paths to the accept line
Figure H.6 \u2013 Paths to the reject line <\/td>\n<\/tr>\n
90<\/td>\nFigure H.7 \u2013 Probabilities of paths transfer between nodes <\/td>\n<\/tr>\n
93<\/td>\nFigure H.8 \u2013 Recurrent element \u2013 Two cases <\/td>\n<\/tr>\n
94<\/td>\nBibliography <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Reliability testing. Compliance tests for constant failure rate and constant failure intensity<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
BSI<\/b><\/a><\/td>\n2023<\/td>\n96<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":430799,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2641],"product_tag":[],"class_list":{"0":"post-430790","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-bsi","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/430790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/430799"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=430790"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=430790"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=430790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}