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An EOQ model for a high cost and most wanted vaccine considering the expiration period. (English) Zbl 1412.90008

Summary: In this paper, we considered the fact that effective inventory policies are essential for the most wanted and costly vaccine. Without proper preservation and shortage of such vaccine not only lead to business loss but also have significant impact on patient. Here we assumed that the deterioration rate is controlled by the preservation technology, so that on-hand stock may be finished before deterioration and expiration date. We included trade credit policies, since the retailer can not bare such high amount until the high price vaccine is sold. The model is solved analytically by maximizing the total profit of the inventory system. Finally, numerical examples are presented to illustrate the proposed model.

MSC:

90B05 Inventory, storage, reservoirs
Full Text: DOI

References:

[1] Hsu, P.H., H.M. Wee, and H.M. Teng. 2010. Preservation technology investment for deteriorating inventory. International Journal of Production Economics 124 (2): 388-394. · doi:10.1016/j.ijpe.2009.11.034
[2] Hsieh, T.P., and C.Y. Dye. 2012. An optimal replenishment policy for deteriorating items with effective investment in preservation technology. European Journal of Operational Research 218 (1): 106-112. · Zbl 1244.90016 · doi:10.1016/j.ejor.2011.10.016
[3] Dye, C.Y. 2013. The effect of preservation technology investment on a non-instantaneous deteriorating inventory model. Omega 41 (5): 872-880. · doi:10.1016/j.omega.2012.11.002
[4] He, Y., and H. Huang. 2013. Optimizing inventory and pricing policy for seasonal deteriorating products with preservation technology investment. Journal of Industrial Engineering.
[5] Singh, S. R., and S. Sharma. 2013. A global optimizing policy for decaying items with ramp-type demand rate under two-level trade credit financing taking account of preservation technology. Advances in Decision Sciences. · Zbl 1263.90007
[6] Mishra, V.K. 2014. Controllable deterioration rate for time-dependent demand and time-varying holding cost. Yugoslav Journal of Operations Research 24 (1): 87-98. · Zbl 1460.90017 · doi:10.2298/YJOR120823018M
[7] Liu, G., J. Zhang, and W. Tang. 2015. Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand. Annals of Operations Research 226 (1): 397-416. · Zbl 1315.90003 · doi:10.1007/s10479-014-1671-x
[8] Singh, S.R., and H. Rathore. 2015. Optimal payment policy with preservation technology investment and shortages under trade credit. Indian Journal of Science and Technology 8 (S7): 203-212. · doi:10.17485/ijst/2015/v8iS7/64489
[9] Yang, C.T., C.Y. Dye, and J.F. Ding. 2015. Optimal dynamic trade credit and preservation technology allocation for a deteriorating inventory model. Computers and Industrial Engineering 87: 356-369. · doi:10.1016/j.cie.2015.05.027
[10] Singh, S., D. Khurana, and S. Tayal. 2016. An economic order quantity model for deteriorating products having stock dependent demand with trade credit period and preservation technology. Uncertain Supply Chain Management 4 (1): 29-42. · doi:10.5267/j.uscm.2015.8.001
[11] Bhigham, E.F. (1995).Fundamentals of financial management. The Dyden pren Florida
[12] Teng, J.T. 2002. On the economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society 53 (8): 915-918. · Zbl 1098.90006 · doi:10.1057/palgrave.jors.2601410
[13] Huang, Y.F. 2003. Optimal retailer’s ordering policies in the EOQ model under trade credit financing. Journal of the Operational Research Society 54 (9): 1011-1015. · Zbl 1097.90501 · doi:10.1057/palgrave.jors.2601588
[14] Biskup, D., D. Simons, and H. Jahnke. 2003. The effect of capital lockup and customer trade credits on the optimal lot size, a confirmation of the EPQ. Computers and Operations Research 30 (10): 1509-1524. · Zbl 1088.90512 · doi:10.1016/S0305-0548(02)00080-1
[15] Huang, Y.F. 2006. An inventory model under two levels of trade credit and limited storage space derived without derivatives. Applied Mathematical Modelling 30 (5): 418-436. · Zbl 1182.90007 · doi:10.1016/j.apm.2005.05.009
[16] Huang, Y.F. 2007. Economic order quantity under conditionally permissible delay in payments. European Journal of Operational Research 176 (2): 911-924. · Zbl 1103.90017 · doi:10.1016/j.ejor.2005.08.017
[17] Goyal, S.K. 1985. Economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society 36: 335-338. · Zbl 0568.90025 · doi:10.1057/jors.1985.56
[18] Wu, J., L.Y. Ouyang, L.E. Cardenas-Barron, and S.K. Goyal. 2014. Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing. European Journal of Operational Research 237 (3): 898-908. · Zbl 1338.90037 · doi:10.1016/j.ejor.2014.03.009
[19] Teng, J.T., and C.T. Chang. 2009. Optimal manufacturer’s replenishment policies in the EPQ model under two levels of trade credit policy. European Journal of Operational Research 195 (2): 358-363. · Zbl 1159.90009 · doi:10.1016/j.ejor.2008.02.001
[20] Aggarwal, S.P., and C.K. Jaggi. 1995. Ordering policies of deteriorating items under permissible delay in payments. Journal of the operational Research Society 46: 658-662. · Zbl 0830.90032 · doi:10.1057/jors.1995.90
[21] Shinn, S.W. 1997. Determining optimal retail price and lot size under day-terms supplier credit. Computers and Industrial Engineering 33 (3-4): 717-720. · doi:10.1016/S0360-8352(97)00230-1
[22] Liao, H.C., C.H. Tsai, and C.T. Su. 2000. An inventory model with deteriorating items under inflation when a delay in payment is permissible. International Journal of Production Economics 63 (2): 207-214. · doi:10.1016/S0925-5273(99)00015-8
[23] Chung, K.J., and Y.F. Huang. 2003. The optimal cycle time for EPQ inventory model under permissible delay in payments. International Journal of Production Economics 84 (3): 307-318. · doi:10.1016/S0925-5273(02)00465-6
[24] Ouyang, L.Y., C.T. Chang, and J.T. Teng. 2005. An EOQ model for deteriorating items under trade credits. Journal of the Operational Research Society 56 (6): 719-726. · Zbl 1095.90007 · doi:10.1057/palgrave.jors.2601881
[25] Mahata, G.C., and A. Goswami. 2006. Production lot-size model with fuzzy production rate and fuzzy demand rate for deteriorating item under permissible delay in payments. Opsearch 43 (4): 358-375. · Zbl 1153.90314 · doi:10.1007/BF03398783
[26] Jaber, M.Y. 2007. Lot sizing with permissible delay in payments and entropy cost. Computers and Industrial Engineering 52 (1): 78-88. · doi:10.1016/j.cie.2006.10.004
[27] Sana, S.S. 2010. Demand influenced by enterprises’ initiatives-a multi-item EOQ model of deteriorating and ameliorating items. Mathematical and Computer Modelling 52 (1-2): 284-302. · Zbl 1201.90018 · doi:10.1016/j.mcm.2010.02.045
[28] Chang, C.T., L.Y. Ouyang, J.T. Teng, and M.C. Cheng. 2010. Optimal ordering policies for deteriorating items using a discounted cash-flow analysis when a trade credit is linked to order quantity. Computers and Industrial Engineering 59 (4): 770-777. · doi:10.1016/j.cie.2010.08.002
[29] Balkhi, Z.T. 2011. Optimal economic ordering policy with deteriorating items under different supplier trade credits for finite horizon case. International Journal of Production Economics 133 (1): 216-223. · doi:10.1016/j.ijpe.2010.04.028
[30] Annadurai, K., and R. Uthayakumar. 2015. Decaying inventory model with stock-dependent demand and shortages under two-level trade credit. The International Journal of Advanced Manufacturing Technology 77 (1-4): 525-543. · doi:10.1007/s00170-014-6457-4
[31] Geetha, K.V., and R. Uthayakumar. 2010. Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments. Journal of Computational and Applied Mathematics 233 (10): 2492-2505. · Zbl 1183.90019 · doi:10.1016/j.cam.2009.10.031
[32] Teng, J.T., J. Min, and Q. Pan. 2012. Economic order quantity model with trade credit financing for non-decreasing demand. Omega 40 (3): 328-335. · doi:10.1016/j.omega.2011.08.001
[33] Dhandapani, J., and R. Uthayakumar. 2017. Multi-item EOQ model for fresh fruits with preservation technology investment, time-varying holding cost, variable deterioration and shortages. Journal of Control and Decision 4 (2): 70-80.
[34] Kurokawa, M., S. Ishida, R. Murata, A. Oya, T. Sawada, S. Kameyama, and S. Ohtani. 1979. Accelerated degradation tests on some immunological products. Journal of Biological Standardization 7 (1): 31-41. · doi:10.1016/S0092-1157(79)80035-9
[35] Min, J., Y.W. Zhou, G.Q. Liu, and S.D. Wang. 2012. An EPQ model for deteriorating items with inventory-level-dependent demand and permissible delay in payments. International Journal of Systems Science 43 (6): 1039-1053. · Zbl 1328.90008 · doi:10.1080/00207721.2012.659685
[36] Zhou, Y.W., and D. Zhou. 2013. Determination of the optimal trade credit policy: a supplier-Stackelberg model. Journal of the Operational Research Society 64 (7): 1030-1048. · doi:10.1057/jors.2012.102
[37] Pal, B., S.S. Sana, and K. Chaudhuri. 2017. A stochastic production inventory model for deteriorating items with products’ finite life-cycle. RAIRO-Operations Research 51 (3): 669-684. · Zbl 1384.90006 · doi:10.1051/ro/2016047
[38] Sarkar, B. K., and S. S. Sana. 2018. A conceptual distributed framework for improved and secured healthcare system. International Journal of Healthcare Management, 1-13.
[39] Sana, S.S., S. Panda, and N.M. Modak. 2015. Optimal replenishment and sales team initiatives for pharmaceutical products—a mathematical model. Pacific Science Review B Humanities and Social Sciences 1 (1): 15-21. · doi:10.1016/j.psrb.2015.11.002
[40] Sana, S.S., and S. Panda. 2015. Optimal sales team’s initiatives and pricing of pharmaceutical products. International Journal of Systems Science Operations and Logistics 2 (3): 168-176. · doi:10.1080/23302674.2015.1023757
[41] Lashgari, M., A.A. Taleizadeh, and S.S. Sana. 2016. An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade credit linked to order quantity. Journal of Industrial and Management Optimization 12 (3): 1091-1119. · Zbl 1331.90005 · doi:10.3934/jimo.2016.12.1091
[42] Bakker, M., J. Riezebos, and R.H. Teunter. 2012. Review of inventory systems with deterioration since 2001. European Journal of Operational Research 221 (2): 275-284. · Zbl 1253.90017 · doi:10.1016/j.ejor.2012.03.004
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