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 problem of lot sizing, sequencing and scheduling multiple products in flow line production systems has been studied by several authors. almost all of the researches in this area assumed that setup times and costs are sequence –independent even though sequence dependent setups are common in practice. in this paper we present a new mixed integer non linear program (minlp) and a heuristic meth...

We consider two queueing control problems that are stochastic versions of the economic lot scheduling problem: A single server processes N customer classes, and completed units enter a 'nished goods inventory that services exogenous customer demand. Unsatis'ed demand is backordered, and each class has its own general service time distribution, renewal demand process, and holding and backorderin...

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...

Lot streaming is a procedure in which a production lot is split into smaller sub-lots and moved to the next processing stage so that operations at successive stages of a multistage manufacturing system can be overlapped in time. Lot streaming reduces the manufacturing lead time and thereby provides an opportunity to lower the costs of holding work-in-process inventories. In this paper, we prese...