Determining the optimal allocation of testing resource for modular software system using dynamic programming
Reliability is a major concern in the process of software development because unreliable software can cause failure in the computer system that can be hazardous. A way to enhance the reliability of software is to detect and remove the faults during the testing phase, which begins with module testing...
Uloženo v:
| Vydáno v: | Communications in statistics. Theory and methods Ročník 45; číslo 3; s. 670 - 694 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia
Taylor & Francis
01.02.2016
Taylor & Francis Ltd |
| Témata: | |
| ISSN: | 0361-0926, 1532-415X |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Reliability is a major concern in the process of software development because unreliable software can cause failure in the computer system that can be hazardous. A way to enhance the reliability of software is to detect and remove the faults during the testing phase, which begins with module testing wherein modules are tested independently to remove a substantial number of faults within a limited resource. Therefore, the available resource must be allocated among the modules in such a way that the number of faults is removed as much as possible from each of the modules to achieve higher software reliability. In this article, we discuss the problem of optimal resource allocation of the testing resource for a modular software system, which maximizes the number of faults removed subject to the conditions that the amount of testing-effort is fixed, a certain percentage of faults is to be removed and a desired level of reliability is to be achieved. The problem is formulated as a non linear programming problem (NLPP), which is modeled by the inflection S-shaped software reliability growth models (SRGM) based on a non homogeneous Poisson process (NHPP) which incorporates the exponentiated Weibull (EW) testing-effort functions. A solution procedure is then developed using a dynamic programming technique to solve the NLPP. Furthermore, three special cases of optimum resource allocations are also discussed. Finally, numerical examples using three sets of software failure data are presented to illustrate the procedure developed and to validate the performance of the strategies proposed in this article. Experimental results indicate that the proposed strategies may be helpful to software project managers for making the best decisions in allocating the testing resource. In addition, the results are compared with those of Kapur et al. (2004), Huang and Lyu (2005), and Jha et al. (2010) that are available in the literature to deal the similar problems addressed in this article. It reveals that the proposed dynamic programming method for the testing-resource allocation problem yields a gain in efficiency over other methods. |
|---|---|
| AbstractList | Reliability is a major concern in the process of software development because unreliable software can cause failure in the computer system that can be hazardous. A way to enhance the reliability of software is to detect and remove the faults during the testing phase, which begins with module testing wherein modules are tested independently to remove a substantial number of faults within a limited resource. Therefore, the available resource must be allocated among the modules in such a way that the number of faults is removed as much as possible from each of the modules to achieve higher software reliability. In this article, we discuss the problem of optimal resource allocation of the testing resource for a modular software system, which maximizes the number of faults removed subject to the conditions that the amount of testing-effort is fixed, a certain percentage of faults is to be removed and a desired level of reliability is to be achieved. The problem is formulated as a non linear programming problem (NLPP), which is modeled by the inflection S-shaped software reliability growth models (SRGM) based on a non homogeneous Poisson process (NHPP) which incorporates the exponentiated Weibull (EW) testing-effort functions. A solution procedure is then developed using a dynamic programming technique to solve the NLPP. Furthermore, three special cases of optimum resource allocations are also discussed. Finally, numerical examples using three sets of software failure data are presented to illustrate the procedure developed and to validate the performance of the strategies proposed in this article. Experimental results indicate that the proposed strategies may be helpful to software project managers for making the best decisions in allocating the testing resource. In addition, the results are compared with those of Kapur et al. (2004), Huang and Lyu (2005), and Jha et al. (2010) that are available in the literature to deal the similar problems addressed in this article. It reveals that the proposed dynamic programming method for the testing-resource allocation problem yields a gain in efficiency over other methods. Reliability is a major concern in the process of software development because unreliable software can cause failure in the computer system that can be hazardous. A way to enhance the reliability of software is to detect and remove the faults during the testing phase, which begins with module testing wherein modules are tested independently to remove a substantial number of faults within a limited resource. Therefore, the available resource must be allocated among the modules in such a way that the number of faults is removed as much as possible from each of the modules to achieve higher software reliability. In this article, we discuss the problem of optimal resource allocation of the testing resource for a modular software system, which maximizes the number of faults removed subject to the conditions that the amount of testing-effort is fixed, a certain percentage of faults is to be removed and a desired level of reliability is to be achieved. The problem is formulated as a non linear programming problem (NLPP), which is modeled by the inflection S-shaped software reliability growth models (SRGM) based on a non homogeneous Poisson process (NHPP) which incorporates the exponentiated Weibull (EW) testing-effort functions. A solution procedure is then developed using a dynamic programming technique to solve the NLPP. Furthermore, three special cases of optimum resource allocations are also discussed. Finally, numerical examples using three sets of software failure data are presented to illustrate the procedure developed and to validate the performance of the strategies proposed in this article. Experimental results indicate that the proposed strategies may be helpful to software project managers for making the best decisions in allocating the testing resource. In addition, the results are compared with those of Kapur et al. (2004), Huang and Lyu (2005), and Jha et al. (2010) that are available in the literature to deal the similar problems addressed in this article. It reveals that the proposed dynamic programming method for the testing-resource allocation problem yields a gain in efficiency over other methods. |
| Author | Ahmad, N. Khan, M. G. M. Rafi, L. S. |
| Author_xml | – sequence: 1 givenname: M. G. M. surname: Khan fullname: Khan, M. G. M. email: khan_mg@usp.ac.fj organization: School of Computing, Information and Mathematical Sciences, The University of the South Pacific – sequence: 2 givenname: N. surname: Ahmad fullname: Ahmad, N. organization: University Department of Statistics and Computer Applications, T. M. Bhagalpur University – sequence: 3 givenname: L. S. surname: Rafi fullname: Rafi, L. S. organization: College of Foundation, The University of the South Pacific |
| BookMark | eNqFkTtv3DAQhAnDAXx2_A9cEEiTRmc-RB3PTRA4DwcwkCYB0hEranWmQZFnkoJx_z6UL2lcJNU238zuzpyT0xADEnLF2Zozza6Z7Djbim4tGJdrLdtWqROy4kqKpuXq1ylZLUizMGfkPOdHxrjaaLki_hMWTJMLLuxoeUAa98VN4Cl4Hy0UFwONIy2Yy0IkzHFOFukYE53iMHtINMexPENCmg-54ETnvKDDIcDkLN2nuEsw1RW7t-TNCD7j5Z95QX5--fzj9q65__712-3H-8a2Upem7breSskB-14z0GpQo5Io7MCRW8FG4EJ0egDZ963uuNUb3Q4ale0VdMDlBXl_9K27n-Z6uplctug9BIxzNnyzlWKjmWQVffcKfawPhnpdpTrGpNhuRaXaI2VTzDnhaPapppQOhjOzVGD-VmCWCsyxgiq7eSWzrrxkWhI4_z_xh6PYhRr2BM8x-cEUOPiYxgTBumzkPx1-A3w7ouI |
| CitedBy_id | crossref_primary_10_3389_fams_2025_1669066 crossref_primary_10_1016_j_jss_2019_110462 |
| Cites_doi | 10.1007/978-81-322-0487-9_93 10.1109/RAMS.2006.1677358 10.1147/rd.284.0428 10.1109/ISSRE.1995.497657 10.1109/TR.2002.1011524 10.1109/TR.2010.2057310 10.1108/02656710810846952 10.1109/TR.2005.858099 10.1142/S0218539309003538 10.1108/02656711011009335 10.1109/PRDC.2004.1276561 10.1109/IEEM.2009.5373369 10.1108/17465660910943748 10.1080/02331930108844543 10.1109/TR.1986.4335332 10.1109/TSE.1985.232179 10.1142/4011 10.1109/CEC.2008.4630941 10.1109/24.55878 10.1142/9789814343091 10.1016/j.jss.2005.06.039 10.1016/S0164-1212(96)00109-4 10.1016/0022-247X(68)90201-1 10.1108/02656710110401213 10.1016/0895-7177(95)00207-I 10.1109/24.210278 10.1007/s13198-011-0039-8 10.1142/S0217595904000278 10.1002/(SICI)1520-6750(199702)44:1<69::AID-NAV4>3.0.CO;2-K 10.1109/34.57681 10.1111/1467-842X.00264 |
| ContentType | Journal Article |
| Copyright | Taylor & Francis Group, LLC 2016 Taylor & Francis Group, LLC |
| Copyright_xml | – notice: Taylor & Francis Group, LLC 2016 – notice: Taylor & Francis Group, LLC |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1080/03610926.2013.834455 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Statistics Mathematics |
| EISSN | 1532-415X |
| EndPage | 694 |
| ExternalDocumentID | 3932768781 10_1080_03610926_2013_834455 834455 |
| Genre | Article |
| GroupedDBID | -~X .7F .QJ 0BK 0R~ 29F 2DF 30N 4.4 5GY 5VS 8VB AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABEHJ ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACGEJ ACGFS ACIWK ACTIO ADCVX ADGTB ADXPE AEISY AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AIJEM AIYEW AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AMVHM AQRUH AQTUD AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO EBS EJD E~A E~B F5P GTTXZ H13 HF~ HZ~ H~P IPNFZ J.P K1G KYCEM M4Z NA5 NY~ O9- QWB RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEJ TFL TFT TFW TN5 TOXWX TTHFI TUROJ TWF TWZ UPT UT5 UU3 WH7 ZGOLN ZL0 ~02 ~S~ 07G 1TA AAIKQ AAKBW AAYXX ACAGQ ACGEE ACTCW AEUMN AGCQS AGLEN AGROQ AHMOU AI. ALCKM AMEWO AMXXU BCCOT BPLKW C06 CAG CITATION COF CRFIH DMQIW DWIFK IVXBP LJTGL NHB NUSFT QCRFL TAQ TFMCV UB9 UU8 V3K V4Q VH1 VOH 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c438t-466bc331aebb80a85d5f53e2cd1e1c20fa12268da3bb4861c8784d8e5cb5a6a13 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 6 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000368695100010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0361-0926 |
| IngestDate | Sun Nov 09 10:21:29 EST 2025 Wed Aug 13 05:05:41 EDT 2025 Sat Nov 29 01:53:50 EST 2025 Tue Nov 18 21:35:45 EST 2025 Mon Oct 20 23:47:19 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c438t-466bc331aebb80a85d5f53e2cd1e1c20fa12268da3bb4861c8784d8e5cb5a6a13 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
| PQID | 1760032992 |
| PQPubID | 186202 |
| PageCount | 25 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_03610926_2013_834455 crossref_primary_10_1080_03610926_2013_834455 proquest_miscellaneous_1793278030 proquest_journals_1760032992 crossref_citationtrail_10_1080_03610926_2013_834455 |
| PublicationCentury | 2000 |
| PublicationDate | 2016-02-01 |
| PublicationDateYYYYMMDD | 2016-02-01 |
| PublicationDate_xml | – month: 02 year: 2016 text: 2016-02-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Philadelphia |
| PublicationPlace_xml | – name: Philadelphia |
| PublicationTitle | Communications in statistics. Theory and methods |
| PublicationYear | 2016 |
| Publisher | Taylor & Francis Taylor & Francis Ltd |
| Publisher_xml | – name: Taylor & Francis – name: Taylor & Francis Ltd |
| References | cit0011 cit0010 cit0032 Ahmad N. (cit0005) 2011; 11 Hillier F. S. (cit0013) 2010 Ahmad N. (cit0003) 2008 Kuo S. Y. (cit0027) 2001; 501 Lo J. H. (cit0030) 2002 cit0019 cit0017 cit0039 Lyu M. R. (cit0031) 1996 Quadri S. M. K. (cit0037) 2006; 16 cit0016 cit0038 cit0035 Bokhari M. U. (cit0008) 2007; 2 cit0014 cit0036 cit0022 Musa J. D. (cit0033) 1987 cit0044 cit0001 cit0045 cit0020 Myers G. J. (cit0034) 1976 cit0042 cit0021 cit0043 cit0040 cit0041 Huang C. Y. (cit0015) 2002 Hadley G. (cit0012) 1970 Bellman R. E. (cit0007) 1957 Jha P. C. (cit0018) 2010 Khan M. G. M. (cit0023) 2008; 2 Khan M. G. M. (cit0026) 2008; 34 cit0009 cit0006 cit0028 cit0029 cit0004 cit0002 cit0024 cit0046 cit0025 cit0047 |
| References_xml | – ident: cit0009 doi: 10.1007/978-81-322-0487-9_93 – ident: cit0038 doi: 10.1109/RAMS.2006.1677358 – volume: 11 start-page: 161 issue: 1 year: 2011 ident: cit0005 publication-title: Int. J. Comput. Sci. Network Secur – ident: cit0035 doi: 10.1147/rd.284.0428 – ident: cit0042 doi: 10.1109/ISSRE.1995.497657 – ident: cit0032 doi: 10.1109/TR.2002.1011524 – volume: 2 start-page: 390 year: 2007 ident: cit0008 publication-title: Adv. Comput. Sci. Eng. Rep. Monogr – ident: cit0040 doi: 10.1109/TR.2010.2057310 – ident: cit0001 doi: 10.1108/02656710810846952 – volume: 34 start-page: 205 issue: 2 year: 2008 ident: cit0026 publication-title: Surv. Method. – volume-title: Software Reliability: Measurement, Prediction and Application year: 1987 ident: cit0033 – ident: cit0017 doi: 10.1109/TR.2005.858099 – ident: cit0019 doi: 10.1142/S0218539309003538 – volume: 501 start-page: 310 issue: 3 year: 2001 ident: cit0027 publication-title: IEEE Trans. Reliab. – volume-title: Nonlinear and Dynamic Programming year: 1970 ident: cit0012 – ident: cit0004 doi: 10.1108/02656711011009335 – volume-title: Software Reliability: Principles and Practices year: 1976 ident: cit0034 – ident: cit0016 doi: 10.1109/PRDC.2004.1276561 – ident: cit0029 doi: 10.1109/IEEM.2009.5373369 – ident: cit0002 doi: 10.1108/17465660910943748 – ident: cit0010 doi: 10.1080/02331930108844543 – volume: 2 start-page: 759 year: 2008 ident: cit0023 publication-title: IEEE Proc. Int. Conf. Comput. Sci. Software Eng. – ident: cit0046 doi: 10.1109/TR.1986.4335332 – ident: cit0047 doi: 10.1109/TSE.1985.232179 – volume-title: Introduction to Operations Research year: 2010 ident: cit0013 – ident: cit0021 doi: 10.1142/4011 – ident: cit0039 doi: 10.1109/CEC.2008.4630941 – start-page: 129 volume-title: Proceedings of the Thirteenth IEEE International Symposium on Software Reliability Engineering Annapolis, Maryland, 12–15 Nov, Los Alamitos, CA: IEEE Computer Society Press year: 2002 ident: cit0015 – start-page: 25 volume-title: Proceedings of the 4th National Conference on Computing for Nation Development, INDIACom-2010 year: 2010 ident: cit0018 – volume-title: Dynamic Programming year: 1957 ident: cit0007 – ident: cit0036 doi: 10.1109/24.55878 – ident: cit0041 doi: 10.1142/9789814343091 – ident: cit0014 doi: 10.1016/j.jss.2005.06.039 – ident: cit0028 doi: 10.1016/S0164-1212(96)00109-4 – start-page: 7 volume-title: Proceedings of the 26th IEEE Annual International Computer Software and Applications Conference (COMPSAC’2002) Oxford, England, August, Los Alamitos, CA: IEEE Computer Society Press year: 2002 ident: cit0030 – ident: cit0011 doi: 10.1016/0022-247X(68)90201-1 – ident: cit0043 doi: 10.1108/02656710110401213 – volume-title: Handbook of Software Reliability Engineering year: 1996 ident: cit0031 – volume-title: Proceedings of the VI International Symposium on Optimization and Statistics year: 2008 ident: cit0003 – ident: cit0045 doi: 10.1016/0895-7177(95)00207-I – volume: 16 start-page: 159 issue: 1 year: 2006 ident: cit0037 publication-title: RAU J. Res. – ident: cit0044 doi: 10.1109/24.210278 – ident: cit0020 doi: 10.1007/s13198-011-0039-8 – ident: cit0022 doi: 10.1142/S0217595904000278 – ident: cit0024 doi: 10.1002/(SICI)1520-6750(199702)44:1<69::AID-NAV4>3.0.CO;2-K – ident: cit0006 doi: 10.1109/34.57681 – ident: cit0025 doi: 10.1111/1467-842X.00264 |
| SSID | ssj0015783 |
| Score | 2.0818968 |
| Snippet | Reliability is a major concern in the process of software development because unreliable software can cause failure in the computer system that can be... |
| SourceID | proquest crossref informaworld |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 670 |
| SubjectTerms | Computer programs Dynamic programming Dynamic programming technique Faults Inflection S-shaped models Mathematical models Modules Non linear programming problem Optimization Primary 90-08; Secondary 90B32 Resource allocation problem Software Software reliability Software reliability growth model |
| Title | Determining the optimal allocation of testing resource for modular software system using dynamic programming |
| URI | https://www.tandfonline.com/doi/abs/10.1080/03610926.2013.834455 https://www.proquest.com/docview/1760032992 https://www.proquest.com/docview/1793278030 |
| Volume | 45 |
| WOSCitedRecordID | wos000368695100010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAWR databaseName: Taylor & Francis Online Journals customDbUrl: eissn: 1532-415X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0015783 issn: 0361-0926 databaseCode: TFW dateStart: 19760101 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwELYQ4kAPLYWiboHKSFxD4zhxvEcErHpoUQ_QcovGL4TEJtXuUsS_ZyZ2VqAKkNpjFD8Sezzj8Xz-hrGDXJqgqiJkoMFnZVAuAxnQ55FmjAYGDPTg8Z_f6rMzfXk5_vHoFj_BKsmHDpEootfVtLjBzAdE3BdUuiIfFwQwEPKQEkVUdMscLT-tzPPJr2UYAcUx5kdW6DNjjeHu3DONPLFNT5hL_9LUvfmZvPv_D99gb9PWkx9FWXnPVny7yd58X_K2zjfZOu09I3XzFrs5SVAZtG4cC_EO1csUW6BYfTzp413gC-LpwBKzFAjg-D982jnCt_I5avk7mHkeGaM5weyvuLtvYXpteQKHYRdXH9jF5PT8-GuWkjNktpR6kZVKGSulAG-MzkFXrgqV9IV1wgtb5AEE7uy0A2lMqZWwutal076ypgIFQm6z1bZr_UfGg4Gi1rbKUTTKOrfgwAo1Vs5LhQ6ZGTE5TEtjE3M5JdC4acRAcJoGtqGBbeLAjli2rPU7Mne8Ul4_nvFm0Z-YhJjepJEvV90dpKNJKmDeCAp5SrT2xYjtL1_j4qWIDLS-u6UyuH2uNSraT__e-w5bx6cEJd9lq4vZrd9ja_YPysvsc78gHgBcnwjf |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3fb9MwED7BQGI8bDCYKGxgJF4DcRw77iNiVJvWVTwU2JvlnxPSmkxtB-K_5xw7FRMCJMRzznZin-_Ovi_fAbwqmQmCV6HQUvuiDsIVmgU88zAzRgejje7B45-mzWwmz8_HHzKacJVhlfEMHRJRRG-r4-aOl9EDJO4NWl1ajquIMKDsdawUwfltuMPR1Ub6_Pnk8yaRgAqZKiQLPDVjk-Hvud_0csM73eAu_cVW9w5osvsfXv0B7OTok7xN6vIQbvl2D-6fbahbV3uwHcPPxN78CC6PMloGHRxBIdKhhVlgDzFdny77SBfIOlJ1oMQy5wIIfhBZdC5CXMkKDf03vfQkkUaTiLS_IO57qxdfLMn4MBzi4jF8nLyfvzsucn2GwtZMrotaCGMZo9obI0stueOBM19ZRz21VRk0xeBOOs2MqaWgVjaydtJza7gWmrJ92Gq71j8BEoyuGml5idpRN6XVTlsqxsJ5JvBMZkbAhnVRNpOXxxoal4oOHKd5YlWcWJUmdgTFptVVIu_4i7z8ecnVur80CanCiWJ_bnowqIfKVmClaMx6MnT41Qhebh7j_o1JGd367jrKYATdSLS1T_999Bdw73h-NlXTk9npM9jGJxlZfgBb6-W1P4S79ivqzvJ5vzt-ABlPDQk |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3dTxQxEJ8gGIMPiqjxFKUkvq5ut9tu75GAF4144QGUt6afxITbJXcHxP_e6bZ7gRg10ed-7bbTmWnn198AvC2ZCYJXodBS-6IOwhWaBTzzMDNGA6ON7sHjX4-a6VSenY2Pb73ij7DKeIYOiSii19Vxc1-6MCDi3qPSpeW4igADyt7FRBGc34MN9JxFlPGTybdVHAHlMSVIFnhoxibD47nf9HLHON2hLv1FVff2Z_L4_798Cx5l35PsJ2F5Amu-3YaHX1bErYtt2IzOZ-JufgoXhxkrg-aNYCXSoX6ZYQ8xWJ-u-kgXyDISdWCNeY4EEPwfMutcBLiSBar5Gz33JFFGk4izPyfuR6tn3y3J6DAc4vwZnE4-nBx8LHJ2hsLWTC6LWghjGaPaGyNLLbnjgTNfWUc9tVUZNEXXTjrNjKmloFY2snbSc2u4Fpqy57Dedq1_ASQYXTXS8hJlo25Kq522VIyF80zgicyMgA3LomymLo8ZNC4UHRhO88SqOLEqTewIilWry0Td8Zf68vaKq2V_ZRJSfhPF_tx0Z5AOlXXAQtEY82Ro7qsR7K2KcffGkIxufXcV66D_3EjUtC__ffRdeHB8OFFHn6afX8EmFmRY-Q6sL-dX_jXct9coOvM3_d74CeMqC7s |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Determining+the+optimal+allocation+of+testing+resource+for+modular+software+system+using+dynamic+programming&rft.jtitle=Communications+in+statistics.+Theory+and+methods&rft.au=Khan%2C+M.+G.+M&rft.au=Ahmad%2C+N&rft.au=Rafi%2C+L.+S&rft.date=2016-02-01&rft.pub=Taylor+%26+Francis+Ltd&rft.issn=0361-0926&rft.eissn=1532-415X&rft.volume=45&rft.issue=3&rft.spage=670&rft_id=info:doi/10.1080%2F03610926.2013.834455&rft.externalDBID=NO_FULL_TEXT&rft.externalDocID=3932768781 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0361-0926&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0361-0926&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0361-0926&client=summon |