scholarly journals Multi-item economic production quantity model for imperfect items with multiple production setups and rework under the effect of preservation technology and learning environment

Author(s):  
Preeti Jawla ◽  
S. R. Singh
Author(s):  
Arindum Mukhopadhyay ◽  
Adrijit Goswami

Imperfect quality Items are unavoidable in an Inventory system due to imperfect productionprocess, natural disasters, damages, or many other reasons. The setup cost and production cycletime can be related in terms of process deterioration and learning and forgetting effects. Learningreduces production run length and setup cost, whereas deterioration and forgetting increases both.Keeping these facts in mind, this paper investigates an Economic Production Quantity (EPQ) modelwith imperfect quality items with varying set-up costs. Mathematical model and solution proceduresare developed with major insight to its charecteristics. Numerical example and sensitivity analysisare provided to illustrate and analyze the model performance. It is observed that our model has asignificant impacts on the optimal lot size and optimal profit of the model.Classication: 90B05


Optimization ◽  
2019 ◽  
Vol 69 (1) ◽  
pp. 63-90 ◽  
Author(s):  
Soheyl Khalilpourazari ◽  
Abolfazl Mirzazadeh ◽  
Gerhard-Wilhelm Weber ◽  
Seyed Hamid Reza Pasandideh

2019 ◽  
Vol 49 (12) ◽  
pp. 2688-2699 ◽  
Author(s):  
Ata Allah Taleizadeh ◽  
Mahboobeh Perak Sari-Khanbaglo ◽  
Leopoldo Eduardo Cardenas-Barron

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. 


2012 ◽  
Vol 22 (2) ◽  
pp. 313-336 ◽  
Author(s):  
Deng-Maw Tsai ◽  
Ji-Cheng Wu

The classical economic production quantity (EPQ) model assumes that items produced are of perfect quality and the production rate is constant. However, production quality depends on the condition of the process. Due to process deterioration or other factors, the production process may shift and produce imperfect quality items. These imperfect quality items sometimes can be reworked and repaired; hence, overall production-inventory costs can be reduced significantly. In addition, it can be found in practice that the time or cost required to repetitively produce a unit of a product decreases when the number of units produced by a worker or a group of workers increases. Under this circumstance, the unit production cost cannot be regarded as constant and, therefore, cannot be ignored when taking account of the total cost. This paper incorporates the effects of learning and the reworking of defective items on the EPQ model since they were not considered in existing models. An optimal operation policy that minimizes the expected total cost per unit time is derived. A numerical example is provided to illustrate the proposed model. In addition, sensitivity analysis is performed and discussed.


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