An M/M/c/K State-Dependent Model for Pedestrian Flow Control and Design of Facilities
Pedestrian overflow causes queuing delay and in turn, is controlled by the capacity of a facility. Flow control or blocking control takes action to avoid queues from building up to extreme values. Thus, in this paper, the problem of pedestrian flow control in open outdoor walking facilities in equil...
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| Veröffentlicht in: | PloS one 2015-07, Vol.10 (7), p.e0133229-e0133229 |
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| creator | Rahman, Khalidur Abdul Ghani, Noraida Kamil, Anton Abdulbasah Mustafa, Adli Chowdhury, Md Ahmed Kabir |
| description | Pedestrian overflow causes queuing delay and in turn, is controlled by the capacity of a facility. Flow control or blocking control takes action to avoid queues from building up to extreme values. Thus, in this paper, the problem of pedestrian flow control in open outdoor walking facilities in equilibrium condition is investigated using M/M/c/K queuing models. State dependent service rate based on speed and density relationship is utilized. The effective rate of the Poisson arrival process to the facility is determined so as there is no overflow of pedestrians. In addition, the use of the state dependent queuing models to the design of the facilities and the effect of pedestrian personal capacity on the design and the traffic congestion are discussed. The study does not validate the sustainability of adaptation of Western design codes for the pedestrian facilities in the countries like Bangladesh. |
| doi_str_mv | 10.1371/journal.pone.0133229 |
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Flow control or blocking control takes action to avoid queues from building up to extreme values. Thus, in this paper, the problem of pedestrian flow control in open outdoor walking facilities in equilibrium condition is investigated using M/M/c/K queuing models. State dependent service rate based on speed and density relationship is utilized. The effective rate of the Poisson arrival process to the facility is determined so as there is no overflow of pedestrians. In addition, the use of the state dependent queuing models to the design of the facilities and the effect of pedestrian personal capacity on the design and the traffic congestion are discussed. The study does not validate the sustainability of adaptation of Western design codes for the pedestrian facilities in the countries like Bangladesh.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0133229</identifier><identifier>PMID: 26196124</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Bangladesh ; Crowding ; Design ; Distance learning ; Engineering ; Environment Design ; Extreme values ; Flow (Dynamics) ; Flow control ; Game theory ; Humans ; Models, Theoretical ; Overflow ; Pedestrian traffic flow ; Pedestrians ; Physical fitness ; Queues ; Queuing theory ; Science ; Simulation ; Sustainability ; Traffic capacity ; Traffic congestion ; Traffic control ; Traffic models ; Transportation ; Walking ; Walkways</subject><ispartof>PloS one, 2015-07, Vol.10 (7), p.e0133229-e0133229</ispartof><rights>COPYRIGHT 2015 Public Library of Science</rights><rights>2015 Rahman et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2015 Rahman et al 2015 Rahman et al</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c692t-7504b9e6e1b772d8ff002f6ec2e1f882058e6e0d0dcc84376990181f4ba78df83</citedby><cites>FETCH-LOGICAL-c692t-7504b9e6e1b772d8ff002f6ec2e1f882058e6e0d0dcc84376990181f4ba78df83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4511190/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4511190/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,864,885,2102,2928,23866,27924,27925,53791,53793,79600,79601</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/26196124$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Hernandez Montoya, Alejandro Raul</contributor><creatorcontrib>Rahman, Khalidur</creatorcontrib><creatorcontrib>Abdul Ghani, Noraida</creatorcontrib><creatorcontrib>Kamil, Anton Abdulbasah</creatorcontrib><creatorcontrib>Mustafa, Adli</creatorcontrib><creatorcontrib>Chowdhury, Md Ahmed Kabir</creatorcontrib><title>An M/M/c/K State-Dependent Model for Pedestrian Flow Control and Design of Facilities</title><title>PloS one</title><addtitle>PLoS One</addtitle><description>Pedestrian overflow causes queuing delay and in turn, is controlled by the capacity of a facility. Flow control or blocking control takes action to avoid queues from building up to extreme values. Thus, in this paper, the problem of pedestrian flow control in open outdoor walking facilities in equilibrium condition is investigated using M/M/c/K queuing models. State dependent service rate based on speed and density relationship is utilized. The effective rate of the Poisson arrival process to the facility is determined so as there is no overflow of pedestrians. In addition, the use of the state dependent queuing models to the design of the facilities and the effect of pedestrian personal capacity on the design and the traffic congestion are discussed. The study does not validate the sustainability of adaptation of Western design codes for the pedestrian facilities in the countries like Bangladesh.</description><subject>Bangladesh</subject><subject>Crowding</subject><subject>Design</subject><subject>Distance learning</subject><subject>Engineering</subject><subject>Environment Design</subject><subject>Extreme values</subject><subject>Flow (Dynamics)</subject><subject>Flow control</subject><subject>Game theory</subject><subject>Humans</subject><subject>Models, Theoretical</subject><subject>Overflow</subject><subject>Pedestrian traffic flow</subject><subject>Pedestrians</subject><subject>Physical fitness</subject><subject>Queues</subject><subject>Queuing theory</subject><subject>Science</subject><subject>Simulation</subject><subject>Sustainability</subject><subject>Traffic capacity</subject><subject>Traffic congestion</subject><subject>Traffic control</subject><subject>Traffic 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| subjects | Bangladesh Crowding Design Distance learning Engineering Environment Design Extreme values Flow (Dynamics) Flow control Game theory Humans Models, Theoretical Overflow Pedestrian traffic flow Pedestrians Physical fitness Queues Queuing theory Science Simulation Sustainability Traffic capacity Traffic congestion Traffic control Traffic models Transportation Walking Walkways |
| title | An M/M/c/K State-Dependent Model for Pedestrian Flow Control and Design of Facilities |
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