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An EOQ model with time dependent deterioration under discounted cash flow approach when supplier credits are linked to order quantity

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article deals with an inventory model under a situation in which the supplier offers the purchaser some credit period if the purchaser orders a large quantity. Shortages are not allowed. The effects of the inflation rate on purchase price, ordering price and inventory holding price, time dependent deterioration of units and permissible delay in payment are discussed. A mathematical model is developed when units in inventory are subject to time dependent deterioration under inflation when the supplier offers a permissible delay to the purchaser if the order quantity is greater than or equal to a pre-specified quantity. Optimal solution is obtained and algorithm is given to find the optimal order quantity and replenishment time, which minimizes the total cost of an inventory system in different scenarios. The paper concludes with a numerical example to illustrate the theoretical results and interdependence of parameters is studied for the optimal solutions.
Rocznik
Strony
405--423
Opis fizyczny
Bibliogr. 33 poz., wykr.
Twórcy
autor
autor
autor
  • Department of Mathematics and Statistics B.K. Majumdar Institute of Business Administration - H.L.B.B.A. Navrangpura, Ahmedabad - 380009, Gujarat, India
Bibliografia
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  • ARCELUS, F. J. and SRINIVASAN, G. (2001) Alternate financial incentives to regular credit / price discounts for extraordinary purchases. International Transactions In Operations Research, 8, 739 - 751.
  • BIERMAN, H. and THOMAS, J. (1977) Inventory decisions under inflationary condition. Decision Sciences, 8, 151 - 155.
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  • COVERT, R. P. and PHILIP, G. C. (1973) An EOQ model with Weibull distribution deterioration. AIIE Transactions, 5, 323 - 326.
  • DATTA, T. K. and PAL, A. K. (1991) Effects of inflation and time value of money on an inventory model with linear time dependent demand rate model and shortages. European Journal of Operational Research, 52, 326 -333.
  • DAVE, U. and PATEL, L. K. (1981) (T, Si) - policy inventory model for deteriorating items with time proportional demand. Journal of Operational Research Society, 32, 137 - 142.
  • DAVIS, R. A. and GAITHER, N. (1985) Optimal ordering policies under conditions of extended payment privileges. Management Science, 31, 499 -509.
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  • GHARE, P. M. and SCHRADER, G. P. (1963) A model for an exponentially decaying inventory. Journal of Industrial Engineering, 14, 238 - 243.
  • GOR, A. S., SHAH, NITA H. and GUJARATHI, C. C. (2002) An EOQ model for deteriorating items with decreasing demand and shortages under inflation and time discounting. Far East Journal of Theoretical Statistics, 6(2), 107-120.
  • GOR, RAVI and AND SHAH, NITA H. (2003) An order level lot - size model with time dependent deterioration and permissible delay in payments. Advances and Applications in Statistics, 3(2), 159 - 172.
  • GOYAL, S. K. (1985) Economic order quantity under conditions of permissible delay in payments. Journal of Operational Research Society, 36, 335 - 338.
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  • LIAO, H. C., TSAI, C. H. and SU, C. T. (2000) An inventory model with deteriorating items under inflation when a delay in payments is permissible. International Journal of Production Economics, 63, 207 - 214.
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  • RAAFAT, F. (1991) Survey of literature on continuously deteriorating inventory models. Journal of Operational Research Society, 40, 27 - 37.
  • SACHAN, R. S. (1984) On (T, Si) - policy inventory model for deteriorating items with time proportional demand. Journal of Operational Research Society, 39, 1013 - 1019.
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  • SHAH, NITA H. (1993) Probabilistic time scheduling model for an exponentially decaying inventory when delay in payments are permissible. International Journal of Production Economics, 32, 77 - 82.
  • SHAH, NITA H. (1997) Probabilistic order level system with lead-time when delay in payments is permissible. Top (Spain), 5, 297 - 305.
  • SHAH, Y. K. and JAISWAL, M. C. (1977) An order level inventory model for a system with constant rate of deterioration. Opsearch, 14, 174 - 184.
  • SHAH, NITA H. and SHAH, Y. K. (2000) Literature survey on inventory model for deteriorating items. Economic Annals (Yugoslavia), XLIV, 221 -237.
  • TENG, J. T. (2002) On economic order quantity under conditions of permissible delay in payments. Journal of Operational Research Society, 53, 915 - 918.
  • TENG, J. T. (2006) Discount cash-flow analysis on inventory control under supplier’s trade credits. International Journal of Operations Research, 3, 1 -7.
  • TENG, J. T., CHANG, C. T. and GOYAL, S. K. (2005) Optimal pricing and ordering policy under permissible delay in payments. International Journal of Production Economics, 97, 121 - 129.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0017-0047
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