This paper presents a simple algebraic approach for deriving the optimal lot size for economic production quantity (EPQ) model with rework process. Conventional methods for solving lot size problems are by using differential calculus on the long-run average production-inventory cost function with the need to prove optimality first. A few recent articles proposed the algebraic approach to the so...

The effect of imperfect production processes on lot sizing decisions received a lot of attention in the literature. These efforts have been almost confined to single stage production systems. The issue of imperfect production processes has not been adequately addressed in the context of multistage production/inventory systems. In this paper, we propose a two-stage production inventory model tha...

*Correspondence: [email protected] 1Department of Mathematics, Techno India University, West Bengal, India Full list of author information is available at the end of the article Abstract In this paper, we have developed an integrated supplier-manufacturer-retailer, joint economic lot-sizing model for the items with stochastic demand and imperfect quality. The supplier produces the item (raw...

This paper investigates the optimal inventory replenishment policy for an economic production quantity (EPQ) model with backordering, rework and machine breakdown taking place in stock piling time. A prior paper by Chiu has examined the lot-sizing problem on an imperfect quality EPQ model. Due to another reliability factor random machine breakdown seems to be inevitable in most real world manuf...

This paper investigates the optimal refilling policy for an economic production quantity (EPQ) model with rework and breakdown taking place in backorder replenishing time. A recent published article [Chiu, Y.P., 2003. Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging. Engineering Optimization 35, 427-437] has studied...

This paper studies the optimal producer′s replenishment policy for an economic production quantity (EPQ) model with rework and breakdown taking place in backorder replenishing time. A recent published article has studied the lot-sizing problem on an imperfect quality EPQ model. However, another reliability factor random machine breakdown is inevitable in most real-life production systems. To de...

One aspect that has mostly been overlooked in traditional economic lot-sizing is the implication of decisions on manual tasks and workload. Although lot-sizing decisions can have a significant impact on required manual material handling and on human performance, works that consider ergonomic aspects in lot-sizing are rare. This paper presents a model that integrates ergonomic aspect in terms of...