An Economic Production Quantity Model With Learning and Forgetting Considerations

Abstract

The focus of this work is on the effects of learning on economic production quantity in batch production systems. We assumed that both unit variable manufacturing time and setup time follow a learning curve. We modified the classical Economic Production Quantity model to incorporate these two types of learning phenomena. We also incorporated the forgetting effect in our model so that a fraction of the learning is lost between consecutive lots. We developed a dynamic program to obtain the optimal solution to the problem. We investigated the nonincreasing lot size property and used it to improve the efficiency of our dynamic program. We consider a special case of the model in which all lot sizes are assumed equal. After theoretical treatment, we carried out a computational study of the effect of assuming equal lot sizes on the optimal solutions. The results of our examples strongly indicate that the assumption of equal lot sizes not only simplifies the determination of the optimal solutions, but also provides close approximations to the optimal solutions.

Integer batch scheduling problems for a single-machine with simultaneous effect of learning and forgetting to minimize total actual flow time

“…Meanwhile, Jaber and Salameh (1995) propose optimal batch sizes based on Economic Production Quantity (EPQ) model by considering learning situation. Other researchers in the same field are Cheng (1991), Cheng (1994), Li and Cheng (1994), Chiu (1997), Chiu et al (2003), Chiu and Chen (2005), Chen et al (2008), Teyarachakul et al (2008), and Teyarachakul et al (2011). Although the researchers have found a method to determine the batch sizes, they have not considered on how to schedule the resulting batches on a machine.…”

Two types of learning effects on maintenance activities

“…This is analogous to the learning concept in setup times (Chand 1989;Jaber and Bonney 2003;Li and Cheng 1994). Under this experience-based learning due to repetition, the duration and cost for the ith PM can be given as follows Teyarachakul 2009, 2013):…”

An optimal production and shipment policy for a single-vendor single-buyer integrated system with both learning effect and deteriorating items

“…Therefore, researchers such as Ebert (1976), Cheng (1991), Salameh et al (1993), Li and Cheng (1994), Jaber and Guiffrida (2004), and Jaber and Bonney (2007) have used the following integral approximation to estimate the cumulative time for the first Q units of production: Camm et al (1987) showed that for a small value of b and a large value of Q, the approximation of Equation (8) (C) lie between 70% and 100% (Dutton and Thomas 1984, Smunt and Meredith 2000, Jaber and Bonney 2007 which yield a b value in the interval ranging from À0.515 to 0. Furthermore, the production quantity Q for each production cycle usually has a large scale.…”