Research Article

THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH

Volume: 4 Number: 2 December 1, 2019
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THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH

Abstract

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.

Keywords

References

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  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Details

Primary Language

English

Subjects

Business Administration

Journal Section

Research Article

Publication Date

December 1, 2019

Submission Date

November 12, 2018

Acceptance Date

September 12, 2019

Published in Issue

Year 2019 Volume: 4 Number: 2

APA
Öztürk, H. (2019). THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH. Journal of Research in Business, 4(2), 93-110. https://izlik.org/JA96LL97KS
AMA
1.Öztürk H. THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH. JRB. 2019;4(2):93-110. https://izlik.org/JA96LL97KS
Chicago
Öztürk, Harun. 2019. “THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH”. Journal of Research in Business 4 (2): 93-110. https://izlik.org/JA96LL97KS.
EndNote
Öztürk H (December 1, 2019) THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH. Journal of Research in Business 4 2 93–110.
IEEE
[1]H. Öztürk, “THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH”, JRB, vol. 4, no. 2, pp. 93–110, Dec. 2019, [Online]. Available: https://izlik.org/JA96LL97KS
ISNAD
Öztürk, Harun. “THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH”. Journal of Research in Business 4/2 (December 1, 2019): 93-110. https://izlik.org/JA96LL97KS.
JAMA
1.Öztürk H. THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH. JRB. 2019;4:93–110.
MLA
Öztürk, Harun. “THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH”. Journal of Research in Business, vol. 4, no. 2, Dec. 2019, pp. 93-110, https://izlik.org/JA96LL97KS.
Vancouver
1.Harun Öztürk. THE DERIVATION OF PRODUCTION LOT SIZING WITH IMPERFECT QUALITY, INSPECTION AND REWORK USING AN ALGEBRAIC APPROACH. JRB [Internet]. 2019 Dec. 1;4(2):93-110. Available from: https://izlik.org/JA96LL97KS