Determining a production run time for an imperfect production-inventory system with scrap
نویسندگان
چکیده
A production-inventory model is proposed for a manufacturing process used to produce a single product in batches to meet a deterministic demand. The process is assumed to be in-control at the start of a production run. Then, the process may shift to an out-of-control state at a random point in time, and a fixed portion of items produced is defective. These defective items cannot be repaired or reworked and must be scrapped with an additional cost. Models are proposed to deal with situations regarding whether and when a screening process is implemented. The objective is to determine an optimal production run time that minimizes expected (long-run) average cost per unit of time including setup, production, inventory holding, screening, and defective costs. A numerical approach is developed for finding an optimal solution. A closed-form solution, which is derived based on an approximation to an exponential function, is also given.
منابع مشابه
An Economic Production Quantity Model for Defective Items with Sales Return Service, Scrap Items and Rework
In this model, we establish an inventory model to determine the optimal inventory replenishment scheme for the economic production quantity (EPQ) model for imperfect, deteriorating items with sales return service under multiple production and rework setup. In one cycle, production process can produces the products in m production setups and reworks the defective items in one rework setup. The c...
متن کاملEPQ model with scrap and backordering under Vendor managed inventory policy
This paper presents the economic production quantity (EPQ) models for the imperfect quality items produced with/without the presence of shortage condition. The models are presented in a two-level supply chain composed of a single manufacturer and a single buyer to investigate the performance of vendormanaged inventory (VMI) policy. The total costs are minimized to obtain the optimal production ...
متن کاملAn integrated production and preventive maintenance planning model with imperfect maintenance in multi-state system
Production planning and maintenance are two important problems in manufacturing systems. Despite the relationship exists between these two problems due to sudden failures and production capacity occupied by maintenance activities, each of these problems planned separately and as a result program and model efficiencies reduce in the real world. The aim of integrated production and maintena...
متن کاملDetermining replenishment lot size and shipment policy for an extended EPQ model with delivery and quality assurance issues
EPQ model; Replenishment lot size; Multiple deliveries; Random defective items; Production; Rework; Scrap items. Abstract This paper derives the optimal replenishment lot size and shipment policy for an Economic Production Quantity (EPQ) model with multiple deliveries and rework of random defective items. The classic EPQmodel assumes a continuous inventory issuing policy for satisfying demand a...
متن کاملDeriving the Optimal Production-Shipment Policy with Imperfect Quality and an Amending Delivery Plan using Algebraic Method
This paper derives the optimal production-shipment policy for a vendor-buyer integrated system with imperfect quality and an amending product delivery plan using an algebraic method. It is assumed that the system may randomly produce certain portion of nonconforming products during each production run. Quality assurance in terms of inspection and rework has been given effect to the defective it...
متن کامل