{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T23:44:57Z","timestamp":1783035897160,"version":"3.54.6"},"reference-count":28,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[1979,9,1]],"date-time":"1979-09-01T00:00:00Z","timestamp":304992000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[1979,9,1]],"date-time":"1979-09-01T00:00:00Z","timestamp":304992000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[1979,9,1]],"date-time":"1979-09-01T00:00:00Z","timestamp":304992000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[1979,9]]},"DOI":"10.1109\/tc.1979.1675434","type":"journal-article","created":{"date-parts":[[2007,9,4]],"date-time":"2007-09-04T16:35:10Z","timestamp":1188923710000},"page":"660-670","source":"Crossref","is-referenced-by-count":76,"title":["Time and Parallel Processor Bounds for Fortran-Like Loops"],"prefix":"10.1109","volume":"C-28","author":[{"family":"Banerjee","sequence":"first","affiliation":[{"name":"Department of Computer Science, University of Illinois"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Shyh-Ching Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Kuck","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"family":"Towle","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","author":"kraska","year":"1972","journal-title":"Parallelism exploitation and scheduling"},{"key":"ref11","first-page":"17","article-title":"multioperation machine computational complexity","author":"kuck","year":"1973","journal-title":"Proc Symp Complexity of Sequential and Parallel Numerical Algorithms"},{"key":"ref12","first-page":"63","author":"kuck","year":"1976","journal-title":"The Complexity of Computational Problem Solving"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1145\/356683.356686"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/MC.1974.6323440"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/0204012"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/BF00288634"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1972.223501"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/800119.803911"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/360827.360844"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1145\/321420.321438"},{"key":"ref4","author":"chen","year":"1975","journal-title":"Speedup of iterative programs in multiprocessor systems"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1145\/321264.321279"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1145\/321812.321815"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1145\/355791.355797"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1975.224291"},{"key":"ref8","first-page":"169","article-title":"vector optimization for the asc","author":"cohagan","year":"1973","journal-title":"Proc 7th Annu Princeton Conf Inform Sci Syst"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1145\/355791.355797"},{"key":"ref2","author":"bingham","year":"1968","journal-title":"Control mechanisms for parallelism in programs"},{"key":"ref9","author":"knuth","year":"1970","journal-title":"An empirical study of Fortran programs"},{"key":"ref1","author":"banerjee","year":"1976","journal-title":"Data Dependence in Ordinary Programs"},{"key":"ref20","article-title":"topics in combinatorial mathematics","author":"liu","year":"1972","journal-title":"MAA summer seminar"},{"key":"ref22","author":"mordell","year":"1969","journal-title":"Diophantine Equations"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/PGEC.1967.264606"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/0714076"},{"key":"ref23","author":"muraoka","year":"1971","journal-title":"Parallelism exposure and exploitation in programs"},{"key":"ref26","author":"towle","year":"1976","journal-title":"Control and data dependence for program transformations"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1145\/1465482.1465585"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/12\/35185\/01675434.pdf?arnumber=1675434","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T23:08:52Z","timestamp":1752102532000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/1675434\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,9]]},"references-count":28,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tc.1979.1675434","relation":{},"ISSN":["0018-9340","1557-9956","2326-3814"],"issn-type":[{"value":"0018-9340","type":"print"},{"value":"1557-9956","type":"electronic"},{"value":"2326-3814","type":"electronic"}],"subject":[],"published":{"date-parts":[[1979,9]]}}}