Economic production quantity (EPQ) models under an imperfect production process with shortages backordered

2014 ◽  
Vol 47 (4) ◽  
pp. 852-867 ◽  
Author(s):  
Lie-Fern Hsu ◽  
Jia-Tzer Hsu
Author(s):  
Erdal Aydemir ◽  
Fevzi Bedir ◽  
Gultekin Ozdemir ◽  
Abdullah Eroglu

The classic economic production quantity (EPQ) model has been widely used to determine the optimal production quantity. However, the analysis for finding an EPQ model has many weaknesses which lead many researchers and practitioners to make extensions in several aspects on the original EPQ model. The basic assumption of EPQ model is that 100% of manufactured products are non-defective that is not valid for many production processes generally. The purpose of this paper is to develop an EPQ model with grey demand rate and cost values with maximum backorder level allowed with the good quality items in units under an imperfect production process. The imperfect items are considered to be low quality items which are sold to a particular purchaser at a lower price and, the others are reworked and scrapped. A mathematical model is developed and then an industrial example is presented on the wooden chipboard production process for illustration of the proposed model. 


2020 ◽  
Vol 12 (21) ◽  
pp. 8964
Author(s):  
Mubashir Hayat ◽  
Bashir Salah ◽  
Misbah Ullah ◽  
Iftikhar Hussain ◽  
Razaullah Khan

Determining replenishment lot size and number of shipments in a traditional production setup has been of great interest among researchers during the last decades. In order to survive modern competition, the manufacturer has to make good decisions about the lot size that is to be shipped to the retailer. Recently, several researchers have developed mathematical models for modelling different real-world situations; however, these models are lacking due to a combination of imperfection in process and shipment lot sizing. Therefore, in the proposed research, shipment policy for an imperfect production setup has been developed with transportation costs taken into consideration. The model analyzed lot sizing for manufacturers and retailers with imperfections in terms of equally sized shipments. Furthermore, an all-unit-discount policy for shipment is considered in the proposed research, and at the end, numerical computation and sensitivity analyses are carried out to gain more insight into the specifications of the model.


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