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NOTE: This is a direct quote from the web site linked below: "Associated with each variable is a reduced cost value. However, the reduced cost value is only non-zero when the optimal value of a variable is zero. A somewhat intuitive way to think about the reduced cost variable is to think of it as indicating how much the cost of the activity ...
Choose the lowest-numbered (i.e., leftmost) nonbasic column with a negative (reduced) cost. Now among the rows, choose the one with the lowest ratio between the (transformed) right hand side and the coefficient in the pivot tableau where the coefficient is greater than zero.
Branch and price is a branch and bound method in which at each node of the search tree, columns may be added to the linear programming relaxation (LP relaxation). At the start of the algorithm, sets of columns are excluded from the LP relaxation in order to reduce the computational and memory requirements and then columns are added back to the LP relaxation as needed.
Column generation or delayed column generation is an efficient algorithm for solving large linear programs.. The overarching idea is that many linear programs are too large to consider all the variables explicitly.
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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}
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