A general model for EOQ inventory systems with partial backlogging and linear shortage costs

References

• Axsäter , S . 2000 . Inventory Control , Boston : Kluwer Academic Publishers .
   Google Scholar
• Balkhi , ZT . 2000 . On the Optimal Production Stopping and Restarting Times for an EOQ Model with Deterioration Items . Journal of the Operational Research Society , 51 : 999 – 1003 .
   Web of Science ®Google Scholar
• Balkhi , ZT , Goyal , SK and Giri , BC . 2001 . Some Notes on the Optimal Production Stopping and Restarting Times for an EOQ Model with Deterioration Items . Journal of the Operational Research Society , 52 : 1300 – 1301 .
   Web of Science ®Google Scholar
• Cárdenas-Barrón , LE . 2001 . The Economic Production Quantity (EPQ) with Shortage Derived Algebraically . International Journal of Production Economics , 70 : 289 – 292 .
   Web of Science ®Google Scholar
• Chang , SKJ , Chuang , JPC and Chen , H-J . 2005 . Short Comments on Technical Note–The EOQ and EPQ Models with Shortages Derived without Derivatives . International Journal of Production Economics , 97 : 241 – 243 .
   Web of Science ®Google Scholar
• Chern , MS , Chan , Y-L and Teng , J-T . 2005 . A Comparison Among Various inventory Shortage Models for Deteriorating Items on the Basic of Maximising Profit . Asia-Pacific Journal of Operational Research , 22 : 121 – 134 .
   Google Scholar
• Chikán , A . 1990 . Inventory Models , Boston : Kluwer Academic Publishers .
   Google Scholar
• Chu , P and Chung , KJ . 2004 . The Sensitivity of the inventory Model with Partial Backorders . European Journal of Operational Research , 152 : 289 – 295 .
   Web of Science ®Google Scholar
• Goyal , SK and Giri , BC . 2003 . The Production-inventory Problem of a Product with Time Varying Demand, Production and Deterioration Rates . European Journal of Operational Research , 147 : 549 – 557 .
   Web of Science ®Google Scholar
• Grubbström , RW and Erdem , A . 1999 . The EOQ with Backlogging Derived without Derivatives . International Journal of Production Economics , 59 : 529 – 530 .
   Web of Science ®Google Scholar
• Hadley , G and Whitin , TM . 1963 . Analysis of Inventory Systems , London : Prentice Hall .
   Google Scholar
• Harris , FW . 1913 . How Many Parts to Make at once . Factory, The Magazine of Management, 10, 2, 135–136, 152. Reprinted in: Operations Research , 38 ( 6 ) : 947 – 950 .
   Google Scholar
• Hax , AC and Candea , D . 1984 . Production and Inventory Management , New Jersey : Prentice Hall .
   Google Scholar
• Hou , KL and Lin , LC . 2006 . An EOQ Model for Deteriorating Items with Price- and Stock-dependent Selling Rates Under inflation and Time Value of Money . International Journal of Systems Science , 37 : 1131 – 1139 .
   Web of Science ®Google Scholar
• Johnson , LA and Montgomery , DC . 1974 . Operations Research in Production Planning, Scheduling and Inventory Control , New York : John Wiley .
   Google Scholar
• Lee , HL and Nahmias , S . 1993 . “ Single-product Single-location Models ” . In Handbooks in Operations Research and Management Science , Edited by: Graves , SC , Rinnoy , AHC and Zipkin , PH . Vol. 4 , 3 – 55 . North-Holland : Logistics of Production and Inventory .
   Google Scholar
• Leung , K-NF . 2008 . Technical Note: A Use of the Complete Squares Method to Solve and Analyse a Quadratic Objetive Function with Two Decision Variables Exemplified via Deterministic Inventory Model with a Mixture of Backorders and Lost Sales . International Journal of Production Economics , 113 : 275 – 281 .
   Google Scholar
• Love , FS . 1979 . Inventory Control , New York : McGraw Hill .
   Google Scholar
• Maddah , B and Jaber , MY . 2008 . Economic Order Quantity for Items with Imperfect Quality Revisited . International Journal of Production Economics , 112 : 808 – 815 .
   Web of Science ®Google Scholar
• Minner , S . 2007 . A Note on How to Computer Economic Order Quantities without Derivatives by Cost Comparations . International Journal of Production Economics , 105 : 293 – 296 .
   Web of Science ®Google Scholar
• Montgomery , DC , Bazaraa , MS and Keswani , AK . 1973 . Inventory Models with a Mixture of Backorders and Lost Sales . Naval Research Logistics Quaterly , 20 : 255 – 263 .
   Google Scholar
• Naddor , E . 1966 . Inventory Systems , New York : John Wiley .
   Google Scholar
• Park , KS . 1982 . Inventory Model with Partial Backorders . International Journal of Systems Sciences , 13 : 1313 – 1317 .
   Web of Science ®Google Scholar
• Pentico , DW and Drake , MJ . 2008 . The Deterministic EOQ with Partial Backordering: A New Approach . European Journal of Operational Research , in press doi: 10.1016/j.ejor.2007.12.004
   Google Scholar
• Ronald , R , Yang , GK and Chu , P . 2004 . The EOQ and EPQ Models with Shortages Derived without Derivatives . International Journal of Production Economics , 92 : 197 – 200 .
   Web of Science ®Google Scholar
• Rosenberg , D . 1979 . A New Analysis of a Lot Size Model with Partial Backlogging . Naval Research Logistics Quaterly , 26 : 346 – 353 .
   Google Scholar
• San José , LA , Sicilia , J and García-Laguna , J . 2003 . “ A New perspective on the Partial Backlogging EOQ model ” . In Proceedings of the XXVII Spanish National Congress of Statistic and Operations Research, Lérida (Spain) , Lleida : Edicions de la Universitat de Lleida . In CD-ROM format (ISBN 84-8409-955-5) or www.mandoni.com/seio2003/dia10.htm
   Google Scholar
• Silver , EA , Pyke , DF and Peterson , R . 1998 . Inventory Management and Production Planning and Scheduling , New York : John Wiley .
   Google Scholar
• Sphicas , GP . 2006 . EOQ and EPQ with Linear and Fixed Backorder Costs: Two Cases Identified and Models Analized without Calculus . International Journal of Production Economics , 100 : 59 – 64 .
   Web of Science ®Google Scholar
• Teng , JT , Chang , CT , Chern , MS and Chan , YL . 2007 . Retailer's Optimal Ordering Policies with Trade Credit Financing . International Journal of Systems Science , 38 : 269 – 278 .
   Web of Science ®Google Scholar
• Tersine , RJ . 1994 . Principles of Inventory and Materials Management , 4th , New Jersey : Prentice-Hall .
   Google Scholar
• Wee , HM . 1999 . Deteriorating inventory Model with Quantity Discount, Pricing and Partial Backordering . International Journal of Production Economics , 59 : 511 – 518 .
   Web of Science ®Google Scholar
• Yan , H and Cheng , TCE . 1998 . Optimal Production Stopping and Restarting Times for an EOQ Model with Deterioration Items . Journal of the Operational Research Society , 49 : 1288 – 1295 .
   Web of Science ®Google Scholar
• Yang , GK . 2007 . Note on Sensitivity Analysis of inventory Model with Partial Backorders . European Journal of Operational Research , 177 : 865 – 871 .
   Web of Science ®Google Scholar