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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 ...
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}
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. An MRP system is intended to simultaneously meet three objectives:
Therefore, in order to get the optimal production quantity we need to set holding cost per year equal to ordering cost per year and solve for quantity (Q), which is the EPQ formula mentioned below. Ordering this quantity will result in the lowest total inventory cost per year.
Manufacturing resource planning (MRP II) [1] is a method for the effective planning of all resources of a manufacturing company. Ideally, it addresses operational planning in units, financial planning, and has a simulation capability to answer " what-if " questions and is an extension of closed-loop MRP (Material Requirements Planning).
The figure graphs the holding cost and ordering cost per year equations. The third line is the addition of these two equations, which generates the total inventory cost per year. The lowest (minimum) part of the total cost curve will give the economic batch quantity as illustrated in the next section.
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