id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
concept-1835	none	Application of a Markov Chain Traffic Model to the Greater Philadelphia Region	2015	19	.pdf	application/pdf	5523	303	68	This relation describes how an object in the (i, j)th slot in a matrix A0 ∈ ℜ will end up in the (f(i), j + σ(object))th slot of another matrix A1 ∈ ℜ during one time step, where 𝜎 𝑜𝑏𝑗𝑒𝑐𝑡 = 1,                  with  probability  𝑝   2,                  with  probability  𝑞 3, with  probability  𝑟 𝑝 + 𝑞 + 𝑟 = 1 and 𝑓: 𝑖 ↦ {𝑖, 𝑖 + 1, 𝑖 − 1}   Mesoscopic Models Another category of traffic models, called mesoscopic or kinetic traffic models, examines vehicular movements as parts of a larger scale mechanism. If we are interested in what traffic density is like at the next time interval, the formula for qt+1 can be used: 𝐪𝒕!𝟏 = 𝑣 𝑡 𝐪𝒕 ∙ 𝐏 + 1 − 𝑣 𝑡 𝐪𝒕 = (2045, 3067, 2617.5, 4090, 5112.5, 3272.5, 4295)	cache/concept-1835.pdf	txt/concept-1835.txt