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Network Flow Models: Use in Rural Freight Transportation Analysis and a Comparison with Linear Programming

Published online by Cambridge University Press:  28 April 2015

Stephen Fuller
Affiliation:
Department of Agricultural Economics, Texas A&M University, College Station
Chiyyarath Shanmugham
Affiliation:
Department of Industrial Engineering, Texas A&M University, College Station

Extract

The logistical efficiency and viability of the rural transportation system is a growing concern of agricultural producers, transportation regulators, and policy makers. Railroad facility limitations, abandonment of railroad track, deterioration of the rural road system, and changing transportation rate structures are examples of issues for which solutions and evaluations are required. To plan and evaluate transportation alternatives, decision makers need a research tool with an ability to answer numerous “what if” types of questions. Often the model must include a spatial and/or temporal dimension, in addition to microscopic detail of the transportation and marketing system. Therefore, large models are needed and efficiency of computer solution procedures becomes a relevant consideration. The flexibility of the research tool to include necessary system realism may also become an important concern.

Type
Research Article
Copyright
Copyright © Southern Agricultural Economics Association 1978

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References

[1]Baumel, C. Phillips, Miller, John J., and Drinka, Thomas P.. “A Summary of an Economic Analysis of Upgrading Branch Rail Lines: A Study of 71 Lines in Iowa,” Report No. FRA-OPPD-76-3, DOT-FR-55045, Iowa State University, March 1976.Google Scholar
[2]Beale, E. M.L.Numerical Methods,” in Abadie, J., ed., Nonlinear Programming, Amsterdam: North Holland Publishing Co., 1977.Google Scholar
[3]Fedeler, Jerry A. and Heady, Earl O.. “Grain Marketing and Transportation Interdependences: A National Model,” American Journal of Agricultural Economics, Volume 58, May 1976, pp. 224235.CrossRefGoogle Scholar
[4]Fuller, Stephen W., Randolph, Paul, and Klingman, Darwin, “Optimizing Subindustry Marketing Organizations: A Network Analysis Approach,” American Journal of Agricultural Economics, Volume 58, 1976, pp. 425436.CrossRefGoogle Scholar
[5]Fulkerson, D. R.The Out-of-Kilter Method for Minimal-Cost Flow Problems,” Journal of Applied Mathematics, March 1961.Google Scholar
[6]Holroyd, William M.The Dual of a Cost Minimizing Linear Transshipment Model: An Economic Interpretation of an Assembly-Plant Processing Distribution Network for a Firm,” Southern Journal of Agricultural Economics, Volume 6, July 1974, pp. 139142.Google Scholar
[7]Kilmer, Richard L. and Hahn, David E.. “Effects of Market-Share and Antimerger Policies on the Fluid Milk-Processing Industry,” American Journal of Agricultural Economics, Volume 60, August 1978, pp. 385392.CrossRefGoogle Scholar
[8]King, Gordon A. and Logan, Samuel H.. “Optimum Location, Number and Size of Processing Plants with Raw Product and Final Product Shipments,” Journal of Farm Economics, Volume 46, Number 1, 1964, pp. 94108.Google Scholar
[9]Kuester, James L. and Mize, Joe H.. Optimum Techniques with Fortran. New York: McGraw-Hill Book Company, Inc., 1973.Google Scholar
[10]Ladd, George and Lifferth, Dennis. “An Analysis of Alternative Grain Distribution Systems,” A merican Journal of Agricultural Economics, Volume 57, August 1975.Google Scholar
[11]Leath, Mack N. and Martin, James E.. “The Transshipment Problem with Inequality Restraints,” Journal of Farm Economics, Volume 48, November 1966, pp. 894908.CrossRefGoogle Scholar
[12]Miller, Clair E.The Simplex Method for Local Separable Programming,” in Graves, R. L. and Wolfe, P., eds., Recent Advances in Mathematical Programming. New York: John Wiley & Sons, Inc., 1963.Google Scholar
[13]Potts, R. B. and Oliver, Robert M.. Flows in Transportation Networks. London: Academic Press, 1972.Google Scholar
[14]U. S. Senate. Agricultural Transportation Problems, Hearings before the Subcommittee on Agricultural Production, Marketing and Stabilization of Prices, Committee on Agriculture, Nutrition, and Forestry, Ninty-fifth Congress, September 1977.Google Scholar
[15]U. S. Senate. Prelude to Legislation to Solve the Growing Crisis in Rural Transportation, prepared by the Economic Research Service, USDA and National Area Development Institute for the Committee on Agriculture and Forestry, Ninty-fourth Congress, February 1975.Google Scholar
[16]Wright, Charles and Meyer, Richard L.. “Modeling Transportation and Storage Systems in Developing Areas as Capacitated Networks,” American Journal of Agricultural Economics, Volume 58, December 1976 (abstract).Google Scholar