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Normally, the transportation model is used to solve problems involving several physical sources of product and several physical uses of the product, as in factories and warehouses. How is it possible to use the transportation model where the "routes" are from one time period to another? Describe how this provides aggregate planners with a usable mathematical model.

User MetaColin
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Final answer:

The transportation model in aggregate planning treats time periods as 'routes', optimizing resource allocation over time to meet demand while minimizing costs. This abstracts the physical movement of goods into a timeline, similar to efficient transportation networks in physical logistics management.

Step-by-step explanation:

Using the transportation model for aggregate planning involves adapting the model to consider time periods as 'routes' instead of physical routes between locations like factories and warehouses. In this context, the transportation model helps planners optimize the allocation of resources over time, ensuring that the production meets the demand while minimizing costs. For instance, just like ensuring the efficient movement of goods from a factory to a warehouse, the model can optimize the 'movement' of goods through time, handling demands in different future periods. Aggregate planners take advantage of this by treating each time period as if it were a destination, with associated costs for 'shipping' products into the future, which could represent holding costs or the costs associated with having to produce more in later periods.

This technique enables the creation of a mathematical model that abstracts the physical movement of goods into a timeline, managing inventory levels and production rates across different periods. It models the challenges similar to physical transport, such as the need to balance cost-effectiveness with timeliness—akin to positioning factories near uncrowded freeways for efficiency or considering the fluctuating costs of shipping over congested networks.

User Renaud
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