This section is devoted to the Economic Production Quantity (EPQ) model, its specialization to the Economic Order Quantity (EOQ) model and its extension to allow backorders. The next section deals with multiple products. The primary driver to hold inventories is the presence of a fixed production/ordering cost that is incurred every time a positive number of units are produced/ordered. We wish ...

This paper investigates optimal replenishment lot size and optimal number of shipments for economic production quantity (EPQ) model with rework process using an algebraic approach. The classic EPQ model assumes a perfect quality production for all items produced and a continuous issuing policy for satisfying customer‟s demand. However, in a real life vendor-buyer integrated-production-inventory...

The Economic Production Quantity (EPQ) is one of the most applicable model in production and inventory control environments. Like other classical production and inventory control models, it is derived based upon assumptions that cause limited real-world applications. Continuous and constant-rate delivery of orders, infinite availability of warehouse spaces, and applicability on a single product...

This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) model with scrap. Unlike the conventional method by using differential calculus to determine replenishment lot size and optimal number of shipments for such an integrated system, this paper proposes...

The purpose of this paper is to investigate and propose a fuzzy extended economic production quantity model based on an elaboratively modeled unit cost structure. This unit cost structure consists of the various lot-size correlative components such as on-line setups, off-line setups, initial production defectives, direct material, labor, and depreciation in addition to lot-size noncorrelative i...

A real economic growth only comes from increasing quality and quantity of the factors of production. Most production systems produce items which are of imperfect quality. In a production/inventory situation items which are received or produced are not of perfect quality. Thus the presence of defects which is inevitable in a produced/ordered lot is sorted out by the process of screening. Handlin...

Pursuing sustainability in the production inventory model has motivated researchers to reconsider carbon emission costs. In this study, we develop an economic quantity (EPQ) consider greenhouse gas and wastewater This study aims optimize quantity, total costs per cycle, waste emissions. To validate test model, data from a pulp paper mill industry was used. The effectiveness of determined by com...

This investigation presents an economic production quantity (EPQ) model for deteriorating items with stock-dependent demand and shortages. It is assumed that a constant fraction of the on-hand inventory deteriorates and demand rate depends upon the amount of the stock level. Expression for various optimal indices as well as cost analysis are provided. By taking numerical illustration, sensitivi...

This paper considers an economic production quantity (EPQ) model with imperfect production processes, in which the setup cost and process quality are functions of capital expenditure. The mathematical model is derived to investigate the effects of an imperfect production process on the optimal production cycle time when capital investment strategies in setup reduction and process quality improv...