Technical note: A use of the complete squares method to solve and analyze a quadratic objective function with two decision variables exemplified via a deterministic inventory model with a mixture of backorders and lost sales

International Journal of Production Economics

Volumn 113, Issue 1, 2008, Pages 275-281

  Francis Leung, Kit Nam ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Analytic cases; Backorders; Lost sales; Non convex; The complete squares method

Indexed keywords

FUNCTION EVALUATION; INDUSTRIAL ECONOMICS; INVENTORY CONTROL; MATHEMATICAL MODELS; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

ANALYTIC CASES; BACKORDERS; COMPLETE SQUARES METHODS; ECONOMIC ORDER QUANTITIES (EOQS); LOST SALES; QUADRATIC OBJECTIVE FUNCTIONS;

NUMERICAL METHODS;

EID: 41549106176     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2007.08.007     Document Type: Article

References (21)

1. Braglia M., and Zavanella L. Modeling an industrial strategy for inventory management in supply chains: The 'consignment stock' case. International Journal of Production Research 41 (2003) 3793-3808
2. Cardenas-Barron L.E. The economic production quantity (EPQ) with shortage derived algebraically. International Journal of Production Economics 70 (2001) 289-292
3. Chang S.K.J., Chuang P.C.J., and Chen H.J. Short comments on technical note-The EOQ and EPQ models with shortages derived without derivatives. International Journal of Production Economics 97 (2005) 241-243
4. Chu P., and Chung K.J. The sensitivity of the inventory model with partial backorders. European Journal of Operational Research 152 (2004) 289-295
5. Fabrycky W.J., and Banks H. Procurement and Inventory Systems: Theory and Analysis (1967), Reinhold Publishing Corporation, New York pp. 92-96
6. Grubbström R.W. Modeling production opportunities: An historical overview. International Journal of Production Economics 41 (1995) 1-14
7. Grubbström R.W., and Erdem A. The EOQ with backlogging derived without derivatives. International Journal of Production Economics 59 (1999) 529-530
8. Huang Y.F. The deterministic inventory models with shortages and defective items derived without derivatives. Journal of Statistics and Management Systems 6 (2003) 171-180
9. Kalro A.H., and Gohil M.M. A lot size model with backlogging when the amount received is uncertain. International Journal of Production Research 20 (1982) 775-786
10. Mak K.L. Optimal inventory policies when quantity backordered is uncertain. Computers and Industrial Engineering 10 (1986) 21-28
11. Minner S. A note on how to compute order quantities without derivatives by cost comparisons. International Journal of Production Economics 105 (2007) 293-296
12. Montgomery D.C., Bazaraa M.S., and Keswani A.K. Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly 20 (1973) 255-263
13. Park K.S. Inventory model with partial backorders. International Journal of Systems Science 13 (1982) 1313-1317
14. Park K.S. Another inventory model with a mixture of backorders and lost sales. Naval Research Logistics Quarterly 30 (1983) 397-400
15. Ronald R., Yang G.K., and Chu P. Technical note-The EOQ and EPQ models with shortages derived without derivations. International Journal of Production Economics 92 (2004) 197-200
16. Rosenberg D. A new analysis of a lot-size model with partial backlogging. Naval Research Logistics Quarterly 26 (1979) 349-353
17. Sphicas G.P. EOQ and EPQ with linear and fixed backorder costs: Two cases identified and models analyzed without calculus. International Journal of Production Economics 100 (2006) 59-64
18. Wee H.M., and Chung C.J. A note on the economic lot size of the integrated vendor-buyer inventory system derived without derivatives. European Journal of Operational Research 177 (2007) 1289-1293
19. Wee H.M., Chung S.L., and Yang P.C. A modified EOQ model with temporary sale price derived without derivatives. The Engineering Economist 48 (2003) 190-195
20. Yang P.C., and Wee H.M. The economic lot size of the integrated vendor-buyer inventory system derived without derivatives. Optimal Control Applications and Methods 23 (2002) 163-169
21. Zanoni S., and Grubbström R.W. A note on an industrial strategy for inventory management in supply chains: Modeling and performance evaluation. International Journal of Production Research 42 (2004) 4421-4426