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The dynamic lot-size model in inventory theory, is a generalization of the economic order quantity model that takes into account that demand for the product varies over time. The model was introduced by Harvey M. Wagner and Thomson M. Whitin in 1958. [1] [2]
The economic lot scheduling problem (ELSP) is a problem in operations management and inventory theory that has been studied by many researchers for more than 50 years. The term was first used in 1958 by professor Jack D. Rogers of Berkeley, [1] who extended the economic order quantity model to the case where there are several products to be produced on the same machine, so that one must decide ...
The economic production quantity model ... Dynamic lot size model; ... D. "Inventory" Operations Research Calculations Handbook, Florida (2001)
Economic order quantity (EOQ), also known as financial purchase quantity or economic buying quantity, [citation needed] is the order quantity that minimizes the total holding costs and ordering costs in inventory management. It is one of the oldest classical production scheduling models.
There are two types of costs: those which increase with the batch size such as working capital investment in materials and labor, cost of handling and storing materials, insurance and tax charges, interest on capital investment, etc., and those which decrease with the batch size such as cost (per unit) of setting up machines, cost of preparing ...
To satisfy the demand for period 1, 2, 3 Producing lot 1, 2 and 3 in one setup give us an average cost: = + + The average cost =( the setup cost + the inventory holding cost of the lot required in period 2+ the inventory holding cost of the lot required in period 3) divided by 3 periods.
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Constant fill rate for the part being produced: Economic production quantity; Demand is random: classical Newsvendor model; Continuous replenishment with backorders: (Q,r) model; Demand varies deterministically over time: Dynamic lot size model; Several products produced on the same machine: Economic lot scheduling problem