“…The availability of a real-time data stream provides the possibility of developing Abbreviations: N , Set of nodes in network; L, Set of inks in the network; K, Set of links with traffic counter; jKj, The number of traffic counters in the network; k, Traffic counter (sensor) index; M, The set of OD pairs; jMj, The number of OD pairs; m, OD pair index; c ¼ ck ð Þ, Vector of field traffic counts; c * ¼ c * k À � , Vector of estimated traffic counts; N = (η m ), Normalized OD trip distribution; X, Prior OD matrix (seed); X * ¼ x * m À � , Expected OD matrix; σ, Scaling factor in X ¼ σ � N; t ∈ {0, 1, 2, …}, Time frame index; Δ, Time frame length; δ, Departure time; R m , Set of routes between mth OD pair; i, Route index; θ i , Travel time of route i; θ ik , Travel time from origin to sensor k, on route i; E i , Expected number of trips on route i; A = (α km ), Assignment matrix; α km is the probability of a trip between mth OD pair crosses sensor k; τ, Vector of link travel times for a fixed time frame. detailed models for real-time estimation of mobility flow, even for light modes of transportation, such as bicycles [5] and pedestrians [6].…”