The deterministic EOQ and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery

International Journal of Production Economics

Volumn 131, Issue 2, 2011, Pages 643-649

  Toews, Carl ^a   Pentico, David W ^b   Drake, Matthew J ^b  

^a UNIVERSITY OF PUGET SOUND   (United States)

^b DUQUESNE UNIVERSITY   (United States)

Author keywords

EOQ; Inventory control; Partial backordering; Production lot sizing

Indexed keywords

BACKORDERING; EOQ; INITIAL VALUES; OPTIMAL DECISIONS; ORIGINAL MODEL; PARTIAL BACKORDERING;

OPTIMIZATION;

INVENTORY CONTROL;

EID: 79954425424     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2011.02.007     Document Type: Article

References (27)

1. P.L. Abad Optimal pricing and lot-sizing under conditions of perishability and partial backordering Management Science 42 8 1996 1093 1104 (Pubitemid 126549506)
2. P.L. Abad Optimal price and order size for a reseller under partial backordering Computers & Operations Research 28 1 2001 53 65
3. P.L. Abad Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale European Journal of Operational Research 144 3 2003 677 685 (Pubitemid 35276390)
4. P.L. Abad Optimal price and order size under partial backordering incorporating shortage, backorder and lost sale costs International Journal of Production Economics 114 1 2008 179 186
5. D. Borgonovo Differential importance and comparative statics: an application to inventory management International Journal of Production Economics 111 1 2008 170 179
6. E. Borgonovo, and L. Peccati Global sensitivity analysis in inventory management International Journal of Production Economics 108 1-2 2007 302 313 (Pubitemid 46880253)
7. P. Chu, and K.-J. Chung The sensitivity of the inventory model with partial backorders European Journal of Operational Research 152 1 2004 289 295
8. K.-N.F. Leung A generalization of Chu and Chungs (2004) sensitivity of the inventory model with partial backorders European Journal of Operational Research 196 2 2009 554 562
9. K.L. Mak Determining optimal production-inventory control policies for an inventory system with partial backlogging Computers & Operations Research 14 4 1987 299 304 (Pubitemid 17621254)
10. D.C. Montgomery, M.S. Bazaraa, and A.K. Keswani Inventory models with a mixture of backorders and lost sales Naval Research Logistics Quarterly 20 2 1973 255 263
11. K.S. Park Inventory model with partial backorders International Journal of Systems Science 13 12 1982 1313 1317
12. K.S. Park Another inventory model with a mixture of backorders and lost sales NavalLogistics Quarterly 30 3 1983 397 400
13. D.W. Pentico, and M.J. Drake The deterministic EOQ with partial backordering: a new approach European Journal of Operational Research 194 1 2009 102 113
14. Pentico, D.W.; Drake, M.J. A survey of deterministic models for the EOQ and EPQ with partial backordering. European Journal of Operational Research, in press, doi: 10.1016/j.ejor.2011.01.048.
15. D.W. Pentico, M.J. Drake, and C. Toews The deterministic EPQ with partial backordering: a new approach Omega 37 3 2009 624 636
16. D.W. Pentico, M.J. Drake, and C. Toews The EPQ with partial backordering and phase-dependent backordering rate Omega 39 5 2011 574 577
17. D. Rosenberg A new analysis of a lot-size model with partial backordering. Naval Research Logistics Quarterly 26 2 1979 349 353 (Pubitemid 9472488)
18. L.A. San José, J. Sicilia, and J. García-Laguna An inventory system with partial backlogging modeled according to a linear function Asia-Pacific Journal of Operations Research 22 2 2005 189 209 (Pubitemid 41028254)
19. L.A. San José, J. Sicilia, and J. García-Laguna The lot size-reorder level inventory system with customers impatience functions Computers & Industrial Engineering 49 3 2005 349 362
20. L.A. San José, J. Sicilia, and J. García-Laguna Analysis of an inventory system with exponential partial backordering International Journal of Production Economics 100 1 2006 76 86
21. L.A. San José, J. Sicilia, and J. García-Laguna An economic lot-size model with partial backlogging hinging on waiting time and shortage period Applied Mathematical Modeling 31 10 2007 2149 2159
22. K. Skouri, and S. Papachristos Optimal stopping and restarting times for an EOQ model with deteriorating items and time-dependent partial backlogging International Journal of Production Economics 81-82 2003 525 531 (Pubitemid 35385386)
23. H.M.M. Wee Optimal inventory policy with partial backordering Optimal Control Applications & Methods 10 2 1989 181 187
24. G.K. Yang Note on sensitivity analysis of inventory model with partial backorders European Journal of Operational Research 177 2 2007 865 871
25. A.Z. Zeng A partial backordering approach to inventory control Production Planning & Control 12 7 2001 660 668 (Pubitemid 35395051)
26. R.-q Zhang A note on the deterministic EPQ with partial backordering Omega 37 5 2009 1036 1038
27. Y.-W. Zhou, H.-S. Lau, and S.-L. Yang A new variable production scheduling strategy for deteriorating items with time-varying demand and partial lost sale Computers & Operations Research 30 12 2003 1753 1776 (Pubitemid 36893351)