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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 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]
A critical factor in production planning is "the accurate estimation of the productive capacity of available resources, yet this is one of the most difficult tasks to perform well". [7] Production planning should always take "into account material availability, resource availability and knowledge of future demand". [5]
Ordering cost: This is the cost of placing orders: each order has a fixed cost , and we need to order / times per year. This is K D / Q {\displaystyle KD/Q} Holding cost: the average quantity in stock (between fully replenished and empty) is Q / 2 {\displaystyle Q/2} , so this cost is h Q / 2 {\displaystyle hQ/2}
In manufacturing, the purpose of scheduling is to keep due dates of customers and then minimize the production time and costs, by telling a production facility when to make, with which staff, and on which equipment. Production scheduling aims to maximize the efficiency of the operation, utilize maximum resources available and reduce costs.
A master production schedule (MPS) is a plan for individual commodities to be produced in each time period such as production, staffing, inventory, etc. [1] It is usually linked to manufacturing where the plan indicates when and how much of each product will be demanded. [2]
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Material requirements planning (MRP) is a production planning, scheduling, and inventory control system used to manage manufacturing processes. Most MRP systems are software-based, but it is possible to conduct MRP by hand as well.