System Optimum Fuzzy Traffic Assignment Problem

System Optimum Fuzzy Traffic Assignment Problem

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This paper focuses on converting the system optimum traffic assignment problem (SO-TAP) to system optimum fuzzy traffic assignment problem (SO-FTAP).The SO-TAP aims to minimize the total system travel time on road network between the specified origin and destination points.Link travel time is taken as a linear function of fuzzy link flow; thus each link travel time ilootpaperie is constructed as a triangular fuzzy number.The objective function is expressed in terms of link flows and link travel times in a non-linear form while satisfying the flow conservation constraints.

The parameters of the problem are path lengths, number of lanes, average speed of a vehicle, vehicle length, clearance, spacing, link capacity and free flow travel time.Considering a road network, the path lengths and number of lanes are taken as crisp numbers.The average speed of a vehicle and vehicle length are imprecise in nature, so these are taken as triangular fuzzy numbers.Since the remaining parameters, that are clearance, spacing, link capacity and free rubbermaid 8 gallon trash can flow travel time are determined by the average speed of a vehicle and vehicle length, they will be triangular fuzzy numbers.

Finally, the original SO-TAP is converted to a fuzzy quadratic programming (FQP) problem, and it is solved using an existing approach from literature.A numerical experiment is illustrated.