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International Journal of Systems Science Volume 37, 2006 - Issue 15
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Original Articles

Optimal control of a production inventory system with deteriorating items

L. Tadj Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaCorrespondence[email protected]
,
M. Bounkhel Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
&
Y. Benhadid Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Pages 1111-1121 | Received 02 Oct 2003, Accepted 10 Aug 2006, Published online: 23 Feb 2007

References

  • Balkhi , ZT . 1999 . On the global optimal solution to an integrated inventory system with general time-varying demand, production, and deterioration rates . J. Oper. Res. Soc. , 114 : 29 – 37 .
  • Balkhi , ZT and Benkherouf , L . 1996 . A production lot size inventory model for deteriorating items and arbitrary production and demand rates . Euro. J. Oper. Res. , 92 : 302 – 309 .
  • Diks , EB and de Kok , AG . 1998 . Optimal control of a divergent multi-echelon inventory system . Euro. J. Oper. Res. , 111 : 75 – 97 .
  • Dobos , I . 2003 . Optimal production-inventory strategies for a HMMS-type reverse logistics system . Inter. J. Prod. Econo. , 81–82 : 351 – 360 .
  • Goyal , SK and Giri , BC . 2001 . Recent trends in modeling of deteriorating inventory . Euro. J. Oper. Res. , 134 : 1 – 16 .
  • Khemlnitsky , E and Gerchak , Y . 2002 . Optimal Control Approach to Production Systems with Inventory-Level-Dependent Demand . IIE Trans. on Autom. Cont. , 47 : 289 – 292 .
  • Kiesmüller , GP . 2003 . Optimal control of a one product recovery system with lead times . Inter. J. Prod. Econo. , 81–82 : 333 – 340 .
  • Mak , KL . 1982 . A production lot size inventory model for deteriorating items . Computers and Industrial Eng. , 6 : 309 – 317 .
  • Misra , RB . 1975 . Optimum production lot size model for a system with deteriorating inventory . Inter. J. Prod. Res. , 13 : 459 – 505 .
  • Nahmias , S . 1982 . Perishable inventory theory: A review . Operations Res. , 30 : 680 – 708 .
  • Pontryagin , LS , Boltyanskii , VG , Gamkrelidze , RV and Mishchenko , EF . 1962 . The Mathematical Theory of Optimal Processes , New York : John Wiley and Sons .
  • Raafat , F . 1991 . Survey of literature on continuously deteriorating inventory models . J. Oper. Res. Soc. , 42 : 27 – 37 .
  • Raafat , F , Wolfe , PM and Eddine , HK . 1991 . An inventory model for deteriorating items . Computers and Indus. Eng. , 20 : 89 – 94 .
  • Riddalls , CE and Bennett , S . 2001 . The optimal control of batched production and its effect on demand amplification . Inter. J. Prod. Econo. , 72 : 159 – 168 .
  • Salama , Y . 2000 . Optimal control of a simple manufacturing system with restarting costs . Oper. Res. Lett. , 26 : 9 – 16 .
  • Sethi , SP and Thompson , GL . 2000 . Optimal Control Theory: Applications to Management Science and Economics , 2nd ed. , Dordrecht : Kluwer Academic Publishers .
  • Shah , YK and Jaiswal , MC . 1977 . An order-level inventory model for a system with constant rate of deterioration . Opsearch , 14 : 174 – 184 .
  • Whitin , TM . 1957 . Theory of Inventory Management , NJ : Princeton University Press .
  • Yan , H and Cheng , TCE . 1998 . Optimal production stopping and restarting times for an EOQ model with deteriorating items . J. Oper. Res. Soc. , 49 : 1288 – 1295 .
  • Zhang , Q , Yin , GG and Boukas , E-K . 2001 . Optimal control of a marketing-production system . IEEE Trans. on Autom. Cont. , 46 : 416 – 427 .

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