Combining an alternative multi-delivery policy into economic production lot size problem with partial rework

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

“…Following Chiu et al [1] and C ardenas-Barr on et al [2], we can get the long-run average costs, E[n; Q], per unit time for the new manufacturing model as follows: E[n; Q] = 3 + 2 (n)Q 1 + 1 (n)Q; (1) where:…”

“…We adopt all of the notation and assumptions described in Chiu et al [1] and C ardenas-Barr on et al [2] to establish a new manufacturing model which allows the number of shipments n to be a decision variable. Following Chiu et al [1] and C ardenas-Barr on et al [2], we can get the long-run average costs, E[n; Q], per unit time for the new manufacturing model as follows: E[n; Q] = 3 + 2 (n)Q 1 + 1 (n)Q; (1) where:…”

“…The solution procedure simpli es that of C ardenas-Barr on et al [2]. Research on EPQ inventory models with partial rework can be found in C ardenas-Barr on et al [2], Chiu et al [1], Sana [3], Sana [4], Sana and Goyal [5], and their references.…”

“…Furthermore, they consider the number of shipments, n, as a constant. Conversely, C ardenasBarr on et al [2] generalized the model of Chiu et al [1] to allow the number of shipments, n, to be a decision variable, such that the long-run average cost is a function of two decision variables, Q and n. A solution procedure to determine both Q and n is also proposed.…”

“…Within this context, Chiu et al [1] proposed a multi-delivery policy into an imperfect Economic Production Quantity (EPQ) inventory model with partial rework. Essentially, they treat their long-run average cost as a function of the replenishment lot size, Q. Consequently, the long-run average cost function of Chiu et al [1] is a function of only one decision variable, Q. Furthermore, they consider the number of shipments, n, as a constant.…”