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The TRANS Procedure

Overview

The TRANS procedure is used to solve the transportation problem, which is a type of network flow problem. A node of a transportation problem is either a source node or a destination node. Each source node is able to supply a specified number of flow units; each destination node has a demand for a specified number of flow units. Each arc of a transportation problem originates at a source node and terminates at a destination node. Some arcs can have capacities (the maximum amount of flow that they can convey) and lower flow bounds (the minimum amount of flow that the arc can convey). Arcs also have per unit traversal costs, simply referred to as costs (for example, the cost incurred when one unit of flow is conveyed through an arc).

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