Abstract
In this paper investigate a production system with the defective quality process and preventive maintenance to establish the inspection policy and optimum inventory level for production items with considering uncertainty environment. The shortage occurs because of preventive maintenance and is considered as partial backlogging. Through the production process, at a random moment, the production of items from the state in-control turns into an out-of-control mode, so that parts of the defective product are manufactured an in-control state and outside of the control process mode. The online item inspection process begins after a time variable through the production period. The human inspection process has also been considered for the classify of defective goods. Uninspected products are accepted to the customer/buyer with minimal repair warranty and the defective items classify by the inspector at fixed cost before being shipped subject to salvaged items. Also, the inspection process of manufactured goods includes a human inspection error. Therefore, two types of classification errors (Type Ⅰ & Ⅱ) are considered to be more realistic than the proposed model. The input parameters of the model are considered as a triangular fuzzy environment, and the output parameters of the model are solved by the Zadeh's extension principle and nonlinear parametric programming. As a final point, a numerical example by graphical representations is obtainable to illustrate the proposed model.
Highlights
In the traditional inventory control models are not considered for simplicity of the inspection process, preventive maintenance, and uncertainty
Salameh and Jaber [28] investigated the economic order quantity/EOQ model assuming a random yield where each lot size shipment contains a stochastic part of defective quality items with considering a known probability distribution function
Liu and Zheng [22] extended the traditional economic order quantity/EOQ inventory system by incorporating item with imperfect quality and shortages backordered contained in each ordered lot size in a triangular fuzzy environment
Summary
In the traditional inventory control models are not considered for simplicity of the inspection process, preventive maintenance, and uncertainty. Salameh and Jaber [28] investigated the economic order quantity/EOQ model assuming a random yield where each lot size shipment contains a stochastic part of defective quality items with considering a known probability distribution function. Liu and Zheng [22] extended the traditional economic order quantity/EOQ inventory system by incorporating item with imperfect quality and shortages backordered contained in each ordered lot size in a triangular fuzzy environment. Hsu and Hsu [11] considered an economic order quantity/EOQ model with the inspection process, imperfect quality items, Misclassification errors, return items, shortage backordering. Al-Salamah [1] considered an economic production quantity/EPQ system with imperfect quality items and inspection errors and the suggested system aims to obtain and find the optimum lot size for a manufacturer system. The following notation, definition and assumptions are applied to formulate and develop the inventory model
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