{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,18]],"date-time":"2026-08-18T01:49:44Z","timestamp":1787017784767,"version":"build-2736575974"},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,3,15]],"date-time":"2012-03-15T00:00:00Z","timestamp":1331769600000},"content-version":"vor","delay-in-days":74,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61174188"],"award-info":[{"award-number":["61174188"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2007AA11Z201"],"award-info":[{"award-number":["2007AA11Z201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National High Technology Research and Development Program of China","award":["61174188"],"award-info":[{"award-number":["61174188"]}]},{"name":"National High Technology Research and Development Program of China","award":["2007AA11Z201"],"award-info":[{"award-number":["2007AA11Z201"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Understanding platoon dispersion is critical for the coordination of traffic signal control in an urban traffic network. Assuming that platoon speed follows a truncated normal distribution, ranging from minimum speed to maximum speed, this paper develops a piecewise density function that describes platoon dispersion characteristics as the platoon moves from an upstream to a downstream intersection. Based on this density function, the expected number of cars in the platoon that pass the downstream intersection, and the expected number of cars in the platoon that do not pass the downstream point are calculated. To facilitate coordination in a traffic signal control system, dispersion models for the front and the rear of the platoon are also derived. Finally, a numeric computation for the coordination of successive signals is presented to illustrate the validity of the proposed model.<\/jats:p>","DOI":"10.1155\/2012\/727839","type":"journal-article","created":{"date-parts":[[2012,3,15]],"date-time":"2012-03-15T17:55:18Z","timestamp":1331834118000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ming","family":"Wei","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wenzhou","family":"Jin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lvou","family":"Shen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2012,3,15]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1955.0089"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0191-2615(01)00023-6"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.trb.2008.10.001"},{"key":"e_1_2_7_4_2","unstructured":"PaceyG. M. The progress of a bunch of vehicles released from a traffic signal Research Note 1956 no. RN\/2665\/GMP Road Research Laboraroty Crowthorne Berkshire UK."},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.12.2.255"},{"key":"e_1_2_7_6_2","first-page":"636","article-title":"Diffusion models of traffic platoon on signal-intersection and control of coordinated signals","volume":"24","author":"Liu C. Q.","year":"1996","journal-title":"Journal of Tongji University"},{"key":"e_1_2_7_7_2","first-page":"89","article-title":"Diffusion model of density of traffic platoon and signal coordinated control","volume":"14","author":"Liu C. Q.","year":"2001","journal-title":"China Journal of Highway and Transport"},{"key":"e_1_2_7_8_2","first-page":"62","article-title":"Modification of Grace\u2032s density diffusion model and its application","volume":"18","author":"Liu C. Q.","year":"2001","journal-title":"Journal of Highway and Transportation Research and Development"},{"key":"e_1_2_7_9_2","first-page":"891","article-title":"Modification of Grace\u2019s density diffusion model and its application","volume":"39","author":"Wang D. H.","year":"2009","journal-title":"Journal of Jilin University"},{"key":"e_1_2_7_10_2","unstructured":"RobertsonD. I. TRANSYT\u2014a traffic network study tool RRL Report LR 253 1969 Road Research Laboratory England UK."},{"key":"e_1_2_7_11_2","unstructured":"VincentR. A. MitchellA. I. andRobertsonD.I. User Guide to TRANSYT version 8 RRL Report LR 888 1980 Road Research Laboratory Crowthorne Berkshire UK."},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/03081060.2011.530830"},{"key":"e_1_2_7_13_2","first-page":"332","article-title":"Another look at platoon dispersion: the Kinematic wave theory","volume":"13","author":"Seddon P. A.","year":"1971","journal-title":"Traffic Engineering and Control"},{"key":"e_1_2_7_14_2","first-page":"388","article-title":"Another look at platoon dispersion: the diffusion theory","volume":"13","author":"Seddon P. A.","year":"1972","journal-title":"Traffic Engineering and Control"},{"key":"e_1_2_7_15_2","first-page":"442","article-title":"Another look at platoon dispersion: the recurrence relationship","volume":"13","author":"Seddon P. A.","year":"1972","journal-title":"Traffic Engineering and Control"},{"key":"e_1_2_7_16_2","first-page":"3563","article-title":"Study of platoon dispersion models","author":"Wang D.","year":"2003","journal-title":"Transportation Research Board Annual Meeting"},{"key":"e_1_2_7_17_2","unstructured":"WeiM. JinW. Z. andShenL.O. A platoon dispersion model considering the speed range limits Journal of Jilin University. In press."}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/727839.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/727839.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/727839","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T02:53:43Z","timestamp":1718074423000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/727839"}},"subtitle":[],"editor":[{"given":"M. F.","family":"El-Amin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/727839"],"URL":"https:\/\/doi.org\/10.1155\/2012\/727839","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2011-11-24","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-12-31","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-15","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"727839"}}