The concept of minimum loss flow in a network with gains is used to develop a linear flow routing model for a military logistics system under mining attack. The model accounts for the time and location of demands, the time required for shipping, the time required for mine countermeasures forces to partially clear a port, the attrition of flow due to enemy action, the port capacities, the time required to get commodities to a port and the time required to get the material from the ports of delivery to the demand points. When all of the supplies and all of the demands are at the ports themselves, the model simplifies to a standard transportation problem. For the more general case a result by Onaga is used to develop an algorithm analogous to an algorithm suggested by Edmonds and Karp for the standard minimum cost flow problem. (Author)
Modeling Mining Attrition Using Networks with Gains
1973
31 pages
Report
No indication
English
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