An inflationary inventory model with time dependent demand with Weibull distribution deterioration and partial backlogging under permissible delay in payments

• Autorzy: Basu M. , Sinha S.
• Języki publikacji: EN

Abstrakty

EN

This paper proposes to present a general inventory model with due consideration to the factors of time dependent partial backlogging and time dependent deterioration. It also takes into account the impact of inflation, time-dependent demand and permissible delay in payments.

Słowa kluczowe

EN

inflation; partial backlogging; Weibull distribution; permissible delay in payments

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 1
• Strony: 203--217
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Basu M.

autor

Sinha S.

• Department of Mathematics, University of Kalyani, Kalyani, Nadia, West Bengal, Pin-741235, India,

Bibliografia

• AGGARWAL, S.P. and JAGGI, C.K (1995) Ordering polices of deteriorating items under permissible delay in payments. Journal of Operational Research Society 46, 658-662.
• BERROTONI, J.N. (1962) Practical Applications Of Weibull distribution. ASQC. Tech. Conf. Trans. 303-323.
• BIERMANS, H. and THOMAS, J. (1977) Inventory decisions under inflationary conditions. Decision Sciences 8, 151-155.
• BUZACOTT, J.A. (1975) Economic order quantities with inflation. Operational Research Quaterly 26, 1188-1191.
• BHAHMBHATT, A.C. (1982) Economic order quantity under variable rate of inflation and mark-up prices. Productivity 23, 127-130.
• CHAKRABARTY, T., GIRI, B.C. and CHAUDHURI, K.S. (1998) An EOQ model for items with weibull distribution deterioration, shortages and trended demand. An Extension of Philip’s model. Computers and Operations Research 25 (7/8), 649-657.
• CHANDRA, J.M. and BAHNER, M.L. (1988) The effects of inflation and the value of money or some inventory systems. International Journal of Production Economics 23 (4), 723-730.
• CHUNG, K.J., HUANG, Y.F. and HUANG, C.K. (2002) The replenishment decision for EOQ inventory model under permissible delay in payments. Opsearch 39, 5 & 6, 327-340.
• CHUNG, K.J. and HUANG, T-S. (2005) The algorithm to the EOQ model for Inventory control and trade credit. Journal of the Operational Research Society 42. 16-27.
• CHUNG, K.J. and HWANG, Y.F. (2003) The optimal cycle time for EOQ inventory model under permissible delay in payments. International Journal of Production Economics 84, 307-318.
• COVERT, R.P. and PHILIP, G.C. (1973) An EOQ model for deteriorating items with Weibull distributions deterioration. AIIE Trans 5, 323-32.
• DAVE, U. and PATEL, L.K. (1983) (T.So) policy inventory model for deteriorating items with time proportional demand. J. Opl. Res. Soc. 20, 99-106.
• DEB, M. and CHAUDHURI K.S. (1986) An EOQ model for items with finite rate of production and variable rate of deterioration. Opsearch 23, 175-181.
• DYE, C.Y. (2002) A deteriorating inventory model with stock dependent demand and partial backlogging under condition of permissible delay in payments. Opsearch 39 (3 & 4).
• GOYAL, S.K. (1985) Economic Order Quantity under conditions of permissible delay in payments. Journal of the Operational Research Society 36, 335-338.
• HWANG, H. and SHINN, S.W. (1997) Retailer’s pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments. Computers and Operations Research 24, 539-547.
• JAMAL, A.M., SARKAR, B.R. and WANG. S. (1997) An ordering policy for deteriorating items with allowable shortage and permissible delay in payment. Journal of the Operational Research Society 48, 826-833.
• JESSE, R.R., MITRA, A. and COX. J.F. (1983) EOQ formula: Is it valid under inflationary conditions? Decision Sciences 14(3), 370-374.
• LIAO, H.C., TSAI, C.H. and Su. C.T. (2000) An inventory model with deteriorating items under inflation when a delay in payment is permissible. International Journal of Production Economics 63, 207-214.
• MANDAL, B.N. and PHAUJDAR, S. (1989) An inventory model for deteriorating items and stock-dependent consumption rate. Journal of the Operational Research Society 40, 483-488.
• MISHRA, R.B. (1975) Optimum production lot-size model for a system with deteriorating inventory. Int. J. Prod. Res. 13. 495-505.
• MISHRA, R.B. (1979) A note of optimal inventory management under inflation. Naval Research Logistist Quarterly 26, 161-165.
• MONDAL, M. and MOITI. M. (1999) Inventory of damageable items with variable replenishment rate, stock dependent demand and some units in hand. Applied Mathematical Modeling 23, 799-807.
• PHILIP G.C. (1974) A generalized EOQ model for items with Weibull distribution deterioration. AIIE Trans. 6, 159-162.
• PADMANABHAN & VRAT (1995) EOQ models for perishable items under stock dependent selling rate. European Journal of Operational Research 86, 281-292.
• ROYCHOWDHURY, M. and CHAUDHURI, K.S. (1983) An order-level inventory model for deteriorating items with finite rate of replenishment. Opsearch 20, 99-106.
• RAAFAT, F. (1991) Survey of literature on continuously deteriorating inventory models. J. Opl. Res. Soc. , 42, 27-37.
• RAU, H.L., Wu, M.Y. and WEE, H.M. (2004) Deteriorating item inventory model with shortage due to supplier in an integrated supply chain. International Journal of System Science 35(5), 293-303.
• RAY, J. and CHAUDHURI, K.S. (1997) An EOQ model with stock-dependent demand, shortage, inflation and time discounting. International Journal of Production Economics 53, 171-180.
• SHAH, N.H. and SHAH, Y.K. (1998) A discrete-in-time probabilistic inventory model for deteriorating items under condition of permissible delay in payments. International Journal of System Science 29, 121-126.
• SKOURI, K. and PAPACHRISTOS, S. (2003) Optimal stopping and restarting production times for an EOQ model with deteriorating items and time-dependent partial back-logging. International Journal of Production Economics 81-82, 525-531.
• TENG, J.T. and CHANG, C.T. (2005) Economic production quantity models for deteriorating items with price and stock dependent demand. Computers and Operational Research 32, 297-308.
• YAN. H. and CHENG, T.C.E. (1998) Optimal production stopping and restarting times for an EOQ model with deteriorating items. Journal of the Operational Research Society 49, 1288-1295.