<div dir="auto"></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>De : <strong class="gmail_sendername" dir="auto">Nabil Gmati</strong> <span dir="auto"><<a href="mailto:nabil.gmati62@gmail.com">nabil.gmati62@gmail.com</a>></span><br>Date: dim. 13 févr. 2022 à 16:11<br>Subject: Applied Mathematics Webinar - Tuesday 15 February - Hanen Mohamed, Paris Nanterre University.<br>To:  <<a href="mailto:cari@inria.fr">cari@inria.fr</a>><br></div><br><br><div dir="ltr"><div id="m_4104275304484637292gmail-:1r6" aria-label="Corps du message" role="textbox" aria-multiline="true" style="direction:ltr;min-height:85px"><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;text-decoration-line:inherit;color:rgb(33,33,33);font-size:13pt;font-family:Roboto;line-height:1.55;padding-top:0px;white-space:pre-wrap"><span style="background-color:transparent;color:rgb(0,0,0);font-family:Calibri;font-size:12pt;font-weight:700;font-variant-ligatures:normal">Tuesday 15 February. 5 pm (GMT+3 = KSA Time)</span><br></p><div dir="ltr"><p style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style="font-size:12pt;font-family:Calibri;color:rgb(0,0,0);background-color:transparent;font-weight:700;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><span style="box-sizing:border-box;color:rgb(0,101,128);font-family:Lato,sans-serif;font-variant-ligatures:none;font-weight:400;text-align:right;text-decoration-line:underline;font-size:10.5pt;vertical-align:baseline"><a href="https://www.google.com/url?q=https%3A%2F%2Fiauvle.zoom.us%2Fj%2F4131317057&sa=D&sntz=1&usg=AFQjCNHynUPvDYthp_qZcOsmx2wtGKIQGw" rel="noreferrer noreferrer" style="color:inherit;box-sizing:border-box;text-decoration-line:none;outline:0px" target="_blank">https://iauvle.zoom.us/j/4131317057</a></span></span></p><p style="line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style="font-size:12pt;font-family:Calibri;color:rgb(0,0,0);background-color:transparent;font-weight:700;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><span style="box-sizing:border-box;font-size:14.6667px;font-variant-ligatures:none;font-weight:normal;text-align:right;font-family:Arial">More informations on </span></span><a href="https://sites.google.com/view/webinar-iau" rel="noreferrer noreferrer" target="_blank">Applied Mathematics Webinar</a><span style="font-family:Arial;font-size:14.6667px;font-variant-ligatures:none;text-align:right;background-color:transparent;color:rgb(0,0,0);white-space:pre-wrap"> </span></p></div><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:0px;outline:none;text-decoration-line:inherit;color:rgb(33,33,33);font-size:13pt;font-family:Roboto;line-height:1.55;padding-top:0px;white-space:pre-wrap"><span style="font-size:13pt;text-decoration-line:inherit;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;box-sizing:border-box"><span style="font-weight:700;box-sizing:border-box">Title :</span></span><span style="font-size:13pt;text-decoration-line:inherit;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;box-sizing:border-box"> </span><span style="text-decoration-line:inherit;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;box-sizing:border-box;color:rgb(0,0,0);font-family:Calibri;font-size:14pt;vertical-align:baseline"> </span><span style="text-decoration-line:inherit;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:14pt;vertical-align:baseline"> </span><span style="text-decoration-line:inherit;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:10.5pt;vertical-align:baseline"><span style="font-weight:700;box-sizing:border-box">MEAN FIELD ANALYSIS OF STOCHASTIC NETWORKS MODELING VEHICLE-SHARING SYSTEMS.</span></span><br></p><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:14px 0px 0px;outline:none;text-decoration-line:inherit;color:rgb(33,33,33);font-size:13pt;font-family:Roboto;line-height:1.55;white-space:pre-wrap"><span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:11pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline"><span style="font-weight:700;box-sizing:border-box">Speaker:  </span></span><span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Calibri;font-size:12pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline">Hanen Mohamed</span><span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:11pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline">, </span><span style="box-sizing:border-box;color:rgb(34,34,34);font-family:Arial;font-size:11.5pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline">Paris Nanterre University.</span><span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:11pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline"> </span></p><p dir="ltr" style="box-sizing:border-box;font-variant-ligatures:none;margin:14px 0px 0px;outline:none;text-decoration-line:inherit;color:rgb(33,33,33);font-size:13pt;font-family:Roboto;line-height:1.55;padding-bottom:0px;text-align:justify"><span style="box-sizing:border-box;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal"><em style="box-sizing:border-box"><span style="font-weight:700;box-sizing:border-box">Abstract: </span></em></span><span style="box-sizing:border-box;color:rgb(0,0,0);font-family:Arial;font-size:10.5pt;font-variant-ligatures:normal;font-variant-numeric:normal;font-variant-east-asian:normal;vertical-align:baseline">Vehicle-sharing systems are becoming important for urban transportation. I will first focus on bike-sharing systems where users arrive at a station, take a bike and use it for a while, then return it to another station of their choice. Each station cannot host more bikes than its finite capacity. I will present a stochastic model for an homogeneous bike-sharing system introduced by Fricker & Gast where the dimensioning system problem is investigated. The aim is to derive the fleet size (number of bikes per station) giving the best system performance measured in term of the proportions of unsatisfied users facing an empty or a saturated station, i.e. stations that, (at a given time) at long time, have no bikes available or no available spots for bikes to be returned to. A large-scale analysis is (conducted) provided using a mean field approach and leads to simple expressions (that give qualitative and quantitative results) for optimal performance. This method works even if there is no closed-form expression for the model. It allows to study several variants taking into account user's preferences or incentive policies proposed by the operator. I will present some variants (heterogeneous model, supermarket model, influence of locality). It is quite amazing that a similar modeling of car-sharing systems presents a wealth of behaviors as soon as the reservation of either the vehicle or the car, or both, is added. More refined probabilistic tools are then sometimes needed.</span></p></div><div><br></div>-- <br><div dir="ltr" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><a href="https://sites.google.com/view/nabil-gmati/" target="_blank" rel="noreferrer">Nabil GMATI</a> - <a href="https://sites.google.com/view/webinar-iau" target="_blank" rel="noreferrer">Applied Mathematics Webinar</a><div>Professor in Applied Mathematics,</div><div><a href="https://www.iau.edu.sa/en" target="_blank" rel="noreferrer">College of science,</a></div><div><a href="https://www.iau.edu.sa/en" target="_blank" rel="noreferrer">Mathematics Department,</a></div><div><a href="https://www.iau.edu.sa/en" target="_blank" rel="noreferrer">Imam Abdulrahman bin Faisal University,</a></div><div><span style="font-family:arial,sans-serif">Ar Rayyan, Dammam 32256</span><br></div><div>Kingdom of Saudi Arabia.</div><div>------------------------------------------------------------<br></div><div><a href="http://www.hal.tn/PresentationSite.xhtml?labo=lamsin" target="_blank" rel="noreferrer">Laboratoire de Modélisation Mathématique et </a></div><div><a href="http://www.hal.tn/PresentationSite.xhtml?labo=lamsin" target="_blank" rel="noreferrer">Numérique dans les Sciences de L'Ingénieur, LAMSIN.</a></div><div><a href="http://www.enit.rnu.tn/" target="_blank" rel="noreferrer">Ecole Nationale d'Ingénieurs de Tunis, ENIT</a></div><div><span style="font-size:12.8px"><a href="http://www.utm.rnu.tn/utm/fr/" target="_blank" rel="noreferrer">Université de Tunis El Manar.</a></span></div><div><span style="font-size:12.8px"><br><br></span></div></div></div></div></div></div>
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