Flow Optimization on a Transportation Network

by William J. Dunlay, Jr., (A.M.ASCE), Sr. Consultant; Peat, Marwick, Mitchell, & Co., San Francisco, Calif.,
Nicolau D.F. Gualda, Asst. Prof.; Departmento de Engenharia Naval, Escola Politecnica da Universidade de Sao Paulo, Brazil,

Serial Information: Transportation Engineering Journal of ASCE, 1979, Vol. 105, Issue 1, Pg. 41-57

Document Type: Journal Paper


A demonstration is presented of the Out-of-Kilter Algorithm's usefulness for network flow optimization and transportation planning. Guidelines in the form of input parameters are given for applying the algorithm to solve several well-known transportation and network problems. An example application of the algorithm to a limestone-distribution network is then presented. The method is applied to investigate impacts of alternative improvements to the present limestone transport-distribution system in the Tiete River Valley, Sao Paulo, Brazil. Two alternative transportation systems are investigated, a truck system and an intermodal truck-barge system. Assigned flows and optimal transportation costs are obtained for each case. A sensitivity analysis is applied, iteratively, to locate and size transshipment terminals.

Subject Headings: Algorithms | Sensitivity analysis | Trucks | Parameters (statistics) | Limestone | Rivers and streams | Developing countries | Network analysis | Brazil | South America

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