An EOQ model with defective items and shortages in fuzzy sets environment

Harun Sulak

doi:10.24289/ijsser.279034

Research Article

An EOQ model with defective items and shortages in fuzzy sets environment

Year 2016, , 915 - 929, 01.07.2016

Harun Sulak

https://doi.org/10.24289/ijsser.279034

Abstract

The basic assumption of the classical inventory (EOQ/EPQ) models is that %100 of items ordered/produced are perfect. However, in most of the production processes, it is unavoidable that the items ordered or produced are defective. This study developes a fuzzy economic order quantity model with defective items and shortages. In this model, the demand, defective rate, ordering cost, unit cost, disposal cost, holding cost, backordering cost and screening cost are expressed as trapezoidal and triangular fuzzy numbers. Moreover, the Graded Mean Integration Representation method is applied to defuzzify the total profit function in fuzzy sense, and then the optimal policy for the model is determined. The results between crisp case and fuzzy case are compared with the help of numerical examples. Finally, sensitivity analysis is carried out to find the effect of changes in the values of selling prices of good-and imperfect quality items, screening rate and percentage of scrap items on optimal solutions.

Keywords

Economic Order Quantity, Defective Items, Backorder, Graded Mean Integration Representation Method, Trapezoidal/Triangular Fuzzy Numbers

Year 2016, , 915 - 929, 01.07.2016

Harun Sulak

https://doi.org/10.24289/ijsser.279034

Abstract

There are 0 citations in total.

Details

Journal Section	Makaleler
Authors	Harun Sulak
Publication Date	July 1, 2016
Published in Issue	Year 2016

Cite

APA	Sulak, H. (2016). An EOQ model with defective items and shortages in fuzzy sets environment. International Journal of Social Sciences and Education Research, 2(3), 915-929. https://doi.org/10.24289/ijsser.279034
AMA	Sulak H. An EOQ model with defective items and shortages in fuzzy sets environment. International Journal of Social Sciences and Education Research. April 2016;2(3):915-929. doi:10.24289/ijsser.279034
Chicago	Sulak, Harun. “An EOQ Model With Defective Items and Shortages in Fuzzy Sets Environment”. International Journal of Social Sciences and Education Research 2, no. 3 (April 2016): 915-29. https://doi.org/10.24289/ijsser.279034.
EndNote	Sulak H (April 1, 2016) An EOQ model with defective items and shortages in fuzzy sets environment. International Journal of Social Sciences and Education Research 2 3 915–929.
IEEE	H. Sulak, “An EOQ model with defective items and shortages in fuzzy sets environment”, International Journal of Social Sciences and Education Research, vol. 2, no. 3, pp. 915–929, 2016, doi: 10.24289/ijsser.279034.
ISNAD	Sulak, Harun. “An EOQ Model With Defective Items and Shortages in Fuzzy Sets Environment”. International Journal of Social Sciences and Education Research 2/3 (April 2016), 915-929. https://doi.org/10.24289/ijsser.279034.
JAMA	Sulak H. An EOQ model with defective items and shortages in fuzzy sets environment. International Journal of Social Sciences and Education Research. 2016;2:915–929.
MLA	Sulak, Harun. “An EOQ Model With Defective Items and Shortages in Fuzzy Sets Environment”. International Journal of Social Sciences and Education Research, vol. 2, no. 3, 2016, pp. 915-29, doi:10.24289/ijsser.279034.
Vancouver	Sulak H. An EOQ model with defective items and shortages in fuzzy sets environment. International Journal of Social Sciences and Education Research. 2016;2(3):915-29.