Markov Renewal Model of Linked Trip Travel Behavior

by Gorman Gilbert, Asst. Prof.; Dept. of Civ. Engrg., Univ. of New Hampshire, Durham, NH,
George L. Peterson, Assoc. Prof.; Dept. of Civ. Engrg., Northwestern Univ., Evanston, IL,
Joseph L. Schofer, Assoc. Prof.; Dept. of Civ. Engrg., Northwestern Univ., Evanston, IL,


Serial Information: Transportation Engineering Journal of ASCE, 1972, Vol. 98, Issue 3, Pg. 691-704


Document Type: Journal Paper

Abstract: Previous models have been used in attempts to examine the linkages among activities in an urban area. Focusing upon linked trips made among the activities, these models have used Markov chain theory. However, the lack of time-dependence in such models has necessitated a nontemporal view of such trips. A Markov renewal model, however, includes this time dimension and, thus, can represent the time spent at each destination of a linked trip. This model is mathematically developed, and its application to urban travel modeling is reviewed.

Subject Headings: Travel modes | Mathematical models | Traffic models | Markov process | Travel patterns | Urban areas | Time dependence

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