This paper extends an integrated model of economic production quantity (EPQ) and preventive maintenance (PM) to incorporate possibilities of minimal repair and rework. Our model determines simultaneously the optimal number of inspections, the inspection interval, the EPQ, and the PM level. Numerical examples of Weibull shock models are given to show that allowing minimal repair and rework will ...

This paper deals with an integrated model for the joint determination of economic production quantity and preventive maintenance (PM) level for an imperfect process having a general deterioration distribution with increasing hazard rate. The effect of PM activities on the deterioration pattern of the process is modeled using the imperfect maintenance concept. It is assumed that, after each PM, ...

Huang [Mathematical Problems in Engineering, 2006, ID 79028, 1-5] studied the effect of service level constraint on the economic production quantity (EPQ) model with random defective rate. He offered an algebraic approach to replace his differential calculus skill to find the optimal solution under the expected annual cost minimized. In this article, we want to use an easy and simple arithmetic...

The algebraic arithmetic-geometric mean inequality method (the algebraic AGM method) is used to derive the optimal lot size and the optimal backorders level for the EOQ and EPQ models with backorders and defective items introduced by [6]. The method is easy to derive both the optimal lot size and optimal backorders level without derivatives. AMS Subject Classification: 90B05

Economic order/production quantity (EOQ/EPQ) models have generally been presented for manufacturing products. Incorporating some important features of a specific category of products, different EOQ/EPQ models have been proposed in literature. This study proposes a new class of inventory models, i.e. a model for a specific type of inventory items: growing items. Poultry and livestock are good ex...

The classical optimization techniques are often used to derive and to assert the optimal solution for the well-known inventory models such as the economic order/production quantity (EOQ/EPQ) models. Recently, a new approach, without reference to the use of derivatives but with algebraic derivation, is presented to solve the above deterministic EOQ/EPQ models with/without shortages. To widen the...

In traditional inventory models such as the economic order quantity (EOQ) and the economic production quantity (EPQ) the sole objective is to minimize the total inventory-related costs, typically holding cost and ordering cost. These models do not consider the presence of defective products in the lot or rework of them. Recently, Jamal, Sarker, and Mondal (Jamal, A. A. M., Sarker, B. R., & Mond...

Deterministic Economic Order Quantity EOQ models have been studied intensively in the literature, where the demand process is described by an ordinary differential equation, and the objective is to obtain an EOQ, which minimizes the total cost per unit time. The total cost per unit time consists of a “discrete” part, the setup cost, which is incurred at the time of ordering, and a “continuous” ...

This research focuses on supporting the formation of strategic alliances through the concept of cooperative commerce, where suppliers and buyers work together to jointly optimize their businesses. The general goal of this research is to examine existing cooperative commerce models for obstacles that would hinder their successful implementation into modern industrial applications and to address ...