331-09 - Chapter 5 Transportation Assignment and Network...

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Chapter 5: Transportation, Assignment and Network Models (Transshipment & Assignment)
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The Transshipment Model Similar to a transportation model Has some “Transshipment” nodes with both inflow and outflow The “Net Flow” refers to a Node & determines the RHS constraint sign Node Type Flow Balance Net Flow (RHS) Supply inflow < outflow Negative Demand inflow > outflow Positive Transshipment inflow = outflow Zero
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Choosing a Constraint SIGN Overall Demand = Supply All demand is satisfied & all Supply is used The network is in balance ALL constraint Signs are = for both Demand and Supply nodes
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Choosing a Constraint SIGN Overall Demand > Supply All Demand cannot be satisfied, but all Supply is used The sign for DEMAND nodes must be (but this creates the possibility of an unacceptable solution- WHY?) The sign for SUPPLY nodes is = since they will be fully utilized
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Choosing a Constraint SIGN Overall Demand < Supply All Demand is satisfied, but there is excess, or unused Supply The sign for DEMAND nodes must be = since all requirements can be met The sign for SUPPLY nodes is since not all of the available Supply is used
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331-09 - Chapter 5 Transportation Assignment and Network...

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