2019
DOI: 10.1177/0361198119845896
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Transit Route Origin–Destination Matrix Estimation using Compressed Sensing

Abstract: The development of an origin–destination (OD) demand matrix is crucial for transit planning. With the help of automated data, it is possible to estimate a stop-level OD matrix. We propose a novel method for estimating transit route OD matrix using automatic passenger count (APC) data. The method uses [Formula: see text] norm regularizer, which leverages the sparsity in the actual OD matrix. The technique is popularly known as compressed sensing (CS). We also discuss the mathematical properties of the proposed … Show more

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Cited by 10 publications
(3 citation statements)
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References 26 publications
(38 reference statements)
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“…This technique of recovering a sparse solution planted in an under-determined set of linear equations is known as compressed sensing , proposed by Candès and Tao ( 19 ). Kumar et al showed that the method works better than existing methods such as least-squares minimization and entropy maximization even for high demand ( 14 ). Using this method allows more confidence as, because of COVID-19, the ridership of various transit routes is so low that it makes the resulting flow matrix sparse.…”
Section: Creation Of Passenger Contact Networkmentioning
confidence: 99%
See 1 more Smart Citation
“…This technique of recovering a sparse solution planted in an under-determined set of linear equations is known as compressed sensing , proposed by Candès and Tao ( 19 ). Kumar et al showed that the method works better than existing methods such as least-squares minimization and entropy maximization even for high demand ( 14 ). Using this method allows more confidence as, because of COVID-19, the ridership of various transit routes is so low that it makes the resulting flow matrix sparse.…”
Section: Creation Of Passenger Contact Networkmentioning
confidence: 99%
“…The limitation of APC data is that the recorded number of boarding and alighting gives no indication of the movement of individual passengers from one stop location to another. Recent success in origin–destination (O-D) estimation using APC data by Kumar et al can help in estimating the travel patterns of passengers on a public transit route with minimal error ( 14 ).…”
mentioning
confidence: 99%
“…In the past two decades, many studies have been done to estimate stops level transit origin–destination using Automatic Data Collection (ADC) system ( Barry et al, 2002 , Trépanier et al, 2007 , Li et al, 2011 , Nassir et al, 2011 , Wang et al, 2011 , Munizaga and Palma, 2012 , Alsger et al, 2016 , Kumar et al, 2019 , Jafari Kang et al, 2021 , Etikaf et al, 2021 , Wu et al, 2021 ). The majority of these studies used smart card data to estimate O-D for the bus system.…”
Section: Introductionmentioning
confidence: 99%