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...

An EPQ model for the co-operative supply chain under the conditions of permissible delay in payments is developed in this work, in order to compare the co-operative supply chain with noncooperative supply chain; we also propose another EPQ model for the non-cooperative supply chain under the same conditions. In addition, we provide an efficient algorithm to obtain the optimal solution, and the ...

This study proposes a two-phase, algebraic approach to resolve the rotation cycle time and number of shipments for a multi-item, economic production quantity (EPQ) model with a random defective rate. A conventional method for solving a multi-item EPQ model is to use differential calculus and Hessian matrix equations on system cost function to prove convexity first and then derive an optimal pro...

While there has been considerable work over the years on multistage lot-sizing models, particularly in an MRP environment, there has been relatively little work on systems recognizing the WIP effects when there is gradual conversion of the components into the final product, as in production planning using the EPQ model for planning the final product. Here we consider lot-sizing planning for a t...

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 examines an economic production quantity (EPQ) model with rework and service level constraint. First, we prove that the expected overall costs for an imperfect EPQ model with backlogging permitted is less than or equal to that of the one without backlogging. Secondly, the relationship between “imputed backorder cost” and maximal shortage level is derived for decision-making on whethe...

a r t i c l e i n f o JEL classification: C02 M11 C44 C61 Keywords: Multi-item production system Rotation cycle time Multi-delivery Economic production quantity model Scrap Vendor–buyer integrated system This paper addresses the joint determination of a rotation cycle time and number of shipments for a multi-item economic production quantity (EPQ) model with random defective rate. The classic E...

OBJECTIVE To evaluate the personality and psychosocial status of adult malocclusion patients through the Eysenck Personality Questionnaire (EPQ) and the Symptom Checklist 90 (SCL-90). METHODS The EPQ and the SCL-90 were administered to 348 adult respondents with Angle's Class I, II, III malocclusion and normal occlusion. Personality and psychosocial traits were analyzed and compared among the...

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 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...