Easy and improved algorithms to joint determination of the replenishment lot size and number of shipments for an EPQ model with rework

Mathematical and Computational Applications

Volumn 18, Issue 2, 2013, Pages 132-138

  Cárdenas Barrón, Leopoldo Eduardo ^a   Sarkar, Biswajit ^b   Trevino Garza, Gerardo ^a  

^a SCHOOL OF ENGINEERING AND SCIENCES   (Mexico)

^b VIDYASAGAR UNIVERSITY   (India)

Author keywords

EPQ model; Multiple shipments; Random defective rate; Replenishment lot size; Rework

Indexed keywords

INVENTORY CONTROL;

EPQ MODELS; MULTIPLE SHIPMENTS; RANDOM DEFECTIVE RATE; REPLENISHMENT LOT SIZES; REWORK;

SHIPS;

EID: 84876226120     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca18020132     Document Type: Article

References (28)

1. S.W. Chiu, D.-C. Gong, C.-L. Chiu, and C.-L. Chung, Joint determination of the production lot size and number of shipments for EPQ model with rework, Mathematical and Computational Applications 16, (2), 317-328, 2011.
2. K.-K. Chen and S.W. Chiu, Replenishment lot size and number of shipments for EPQ model derived without derivatives, Mathematical and Computational Applications, Vol. 16, (3), 753-760, 2011.
3. F.W. Harris, How many parts to make at once, Factory, The Magazine of Management 10, 135-136 and 152, 1913.
4. E.W. Taft, The most economical production lot, Iron Age, 101, 1410-1412, 1918.
5. C.-K. Ting, Y.-S.P. Chiu, and C.-C.-H. Chan, Optimal lot sizing with scrap and random breakdown occurring in backorder replenishment period, Mathematical and Computational Applications 16 (2), 329-339, 2011.
6. S.W. Chiu, C.-B. Cheng, M.-F. Wu, and J.-C. Yang, An algebraic approach for determining the optimal lot size for EPQ model with rework process, Mathematical and Computational Applications 15 (3), 364-370, 2010.
7. Y.-C. Tsao, M.-Y. Wang, and P.-L. Lee, Effects of joint replenishment policy on company cost under permissible delay in payments, Mathematical and Computational Applications 15 (2), 248-258, 2010.
8. Y.-C. Tsao, Profit maximization multi-item inventory models considering trade credit and sales learning curve, Mathematical and Computational Applications 14 (1), 45-53, 2009.
9. S.W. Chiu, K.-K. Chen and H.-H. Chang, Mathematical method for expediting scrap or rework decision making in EPQ model with failure in repair, Mathematical and Computational Applications 13 (3), 137-145, 2008.
10. Y.-F. Huang and K.-H. Hsu, Optimal retailer's inventory policy under supplier credits linked to retailer payment time, Mathematical and Computational Applications 12 (2), 77-86, 2007.
11. I. Unver, On the inventory model with two delay barriers, Mathematical and Computational Applications 12 (3), 125-134, 2007.
12. Y.-S.P. Chiu, S.W. Chiu, and H.-D. Lin, Solving an EPQ model with rework and service level constraint, Mathematical and Computational Applications 11 (1), 75-84, 2006.
13. B. Sarkar and I. Moon, An EPQ model with inflation in an imperfect production system, Applied Mathematics and Computation 217 (13), 6159-6167, 2011.
14. B. Sarkar, S.S. Sana and K. Chaudhuri, An imperfect production process for time varying demand with inflation and time value of money-An EMQ model, Expert Systems with Applications 38 (11), 13543-13548, 2011.
15. S.S. Sana, A production-inventory model in an imperfect production process, European Journal of Operational Research 200 (2), 451-464, 2010.
16. S.S. Sana, A collaborating inventory model in a supply chain, Economic Modelling 29 (5), 2016-2023, 2012.
17. S.S. Sana, A production-inventory model of imperfect quality products in a three-layer supply chain, Decision Support Systems 50 (2), 539-547, 2011.
18. S.S. Sana, An economic production lot size model in an imperfect production system, European Journal of Operational Research 201 (1), 158-170, 2010.
19. S.S. Sana and K. Chaudhuri, An imperfect production process in a volume flexible inventory model, International Journal of Production Economics 105 (2), 548-559, 2007.
20. L.E. Cárdenas-Barrón, The economic production quantity (EPQ) with shortage derived algebraically, International Journal of Production Economics 70 (3), 289-292, 2001.
21. L.E. Cárdenas-Barrón, Optimizing inventory decisions in a multi-stage multi-customer supply chain: A Note, Transportation Research Part E: Logistics Transportation Review 43(5), 647-654, 2007.
22. L.E. Cárdenas-Barrón, Optimal manufacturing batch size with rework in a single-stage production system-A simple derivation, Computers and Industrial Engineering 55(4), 758-765, 2008.
23. L.E. Cárdenas-Barrón, The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra, Applied Mathematical Modelling 35(5), 2394-2407, 2011.
24. J. García-Laguna, L.A. San-José, L.E. Cárdenas- Barrón, J. Sicilia, The integrality of the lot size in the basic EOQ and EPQ models: Applications to other production-inventory models, Applied Mathematics and Computation 216 (5), 1660-1672, 2010.
25. L.E. Cárdenas-Barrón, A complement to "A comprehensive note on: An economic order quantity with imperfect quality and quantity discounts", Applied Mathematical Modelling, doi:10.1016/j.apm.2012.02.021, 2012.
26. H.-C. Chang, A comprehensive note on: an economic order quantity with imperfect quality and quantity discounts, Applied Mathematical Modelling 35(10), 5208-5216, 2011.
27. T.Y. Lin, An economic order quantity with imperfect quality and quantity discounts, Applied Mathematical Modelling 34(10), 3158-3165, 2010.
28. L.E. Cárdenas-Barrón, A.A. Taleizadeh, and Treviño-Garza, G., An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and the multi-delivery policy into economic production lot size problem with partial rework, Expert Systems with Applications, http://dx.doi.org/10.1016/j.eswa.2012.07.012.