{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:53:34Z","timestamp":1777636414003,"version":"3.51.4"},"reference-count":19,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,11]],"date-time":"2006-10-11T00:00:00Z","timestamp":1160524800000},"content-version":"vor","delay-in-days":10541,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Networks"],"published-print":{"date-parts":[[1977,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Consider a PERT network with stochastic activity durations. This paper presents a new method for obtaining probability distributions that bound the exact probability distribution of the project duration from above and below. The expected values of these bounding distributions then furnish lower and upper bounds on the expected project duration. As illustrated by computational experience, these bounds are tighter than those obtained from methods currently in use. The paper concludes by describing similar results for stochastic shortest\u2010route networks.<\/jats:p>","DOI":"10.1002\/net.3230070407","type":"journal-article","created":{"date-parts":[[2007,5,11]],"date-time":"2007-05-11T06:17:55Z","timestamp":1178864275000},"page":"359-381","source":"Crossref","is-referenced-by-count":71,"title":["Bounding distributions for a stochastic pert network"],"prefix":"10.1002","volume":"7","author":[{"given":"A. W.","family":"Shogan","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"196","volume-title":"Mathematical Theory of Reliability","author":"Barlow R.","year":"1965"},{"key":"e_1_2_1_3_2","first-page":"248","article-title":"Monte Carlo Techniques for Stochastic PERT Network Analysis","volume":"9","author":"Burt J. M.","year":"1971","journal-title":"INFOR"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.18.3.207"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.12.3.460"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.12.4.629"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.13.5.299"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177698701"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.10.6.808"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.19.1.90"},{"key":"e_1_2_1_11_2","unstructured":"Gaver D. P.andJ. M.Burt \u201cSimple Stochastic Networks: Some Problems and Procedures \u201dManagement Sciences Research Report No. 142 Graduate School of Industrial Administration Carnegie\u2010Mellon University 1968."},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.12.10.B469"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.19.7.1586"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.13.4.B194"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.7.5.646"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.13.1.46"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.16.2.B136"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.17.11.717"},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.24.1.177"},{"key":"e_1_2_1_20_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.11.5.839"}],"container-title":["Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnet.3230070407","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/net.3230070407","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T09:51:40Z","timestamp":1699782700000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/net.3230070407"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1977,12]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1977,12]]}},"alternative-id":["10.1002\/net.3230070407"],"URL":"https:\/\/doi.org\/10.1002\/net.3230070407","archive":["Portico"],"relation":{},"ISSN":["0028-3045","1097-0037"],"issn-type":[{"value":"0028-3045","type":"print"},{"value":"1097-0037","type":"electronic"}],"subject":[],"published":{"date-parts":[[1977,12]]}}}