The integrality of the lot size in the basic EOQ and EPQ models: Applications to other production-inventory models

An improved solution to the replenishment policy for the EMQ model with rework and multiple shipments

“…In this function the decision variable n is discrete and n must be greater or equal than one. Garcí a-Laguna et al [14] showed that when n is discrete and e 4 and e 5 are greater than zero, then function of type e 4 n + e 5 /n is always minimized when n is given by …”

“…In the case of considering the lot size as a discrete value, then applying the previous results for a discrete variable (Garcí a-Laguna et al [14]), then lot size should be determined as: …”

“…In the first stage the replenishment lot size (Q) is optimized using the algebraic method (see for instance Cárdenas-Barrón [13]). In the second stage, we determine the optimal number of shipments using the result of Garcí a-Laguna et al [14].…”

A simple solution procedure to solve the multi-delivery policy into economic production lot size problem with partial rework

“…Basically, they adopted the approach of Garc a-Laguna et al [6] and used Eqs. (13) and (14) in C ardenasBarr on et al [2] to develop the algorithm for locating the optimal solution (n ; Q ).…”

A supplement to “Using the EPQ for coordinated planning of a product with partial backordering and its components”

“…Since each N i is independent of others and all have the same form, we know that minimizing ∑ m i=1 f i is equivalent to minimizing f i individually. Following the approach by García-Laguna et al [8] to minimize f i , we obtain the optimal solution to the integral value N i as follows:…”