THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH
Öz
Many researchers use traditional computing processes that take the first and second-order partial derivatives to obtain closed form mathematical equations for the optimal order quantity or the optimal production quantity. However, this paper provides an algebraic approach to solving the production lot sizing problem in an imperfect production inventory system where an inspection process is conducted during and at the end of production, and any defective items produced are either sold at a discounted price or reworked/repaired at a cost. Using this approach, practitioners or first-year college students who lack knowledge of differential calculus may be able to find solutions to inventory problems more easily.
Anahtar Kelimeler
Kaynakça
- Benkherouf, L., & Mohamed, O. (2017). Optimal manufacturing batch size with rework for a finite-horizon and time-varying demand rates inventory model. RAIRO-Operations Research, 57(1), 173-187.
- Cárdenas-Barrón, L.E. (2001). The economic production quantity (EPQ) with shortage derived algebraically. International Journal of Production Economics, 70, 289-292.
- Cárdenas Barrón, L.E. (2009). Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Computers & Industrial Engineering, 57, 1105-1113.
- Cárdenas-Barrón, L.E. (2011). The deriavtion of EOQ/EPQ inventory models with two backorders costsusing analytic geometry and algebra. Applied Mathematical Modelling, 35, 2394-2407.
- Chen, C. K., Lo, C. C., & Liao, Y. X. (2008). Optimal lot size with learning consideration on an imperfect production system with allowable shortages. International Journal of Production Economics, 113(1), 459–469.
- Chen K. -K., Wu, M. -F., Chiu, S.W., & Lee, C. -H. (2012). Alternative approach for solving replenishment lot size problem with discontinuous issuing policy and rework. Expert Systems with Applications, 39, 2232–2235.
- Chiu, S. W. (2008). Production lot size problem with failure in repair and backlogging derived without derivatives”, European Journal of Operational Research, 188, 610–615.
- Chiu, S. W., Chen, K. -K., & Chiu, Y.-S. P. (2012). Notes on the mathematical modelling approach used to determine the replenishment policy for the EMQ model with rework and multiple shipments. Applied Mathematics Letters, 25, 1964-1968.
Ayrıntılar
Birincil Dil
İngilizce
Konular
İşletme
Bölüm
Araştırma Makalesi
Yazarlar
Harun Öztürk
*
0000-0003-0193-6663
Türkiye
Yayımlanma Tarihi
1 Aralık 2019
Gönderilme Tarihi
12 Kasım 2018
Kabul Tarihi
12 Eylül 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 4 Sayı: 2