Ordering policies for non-instantaneous deteriorating items under hybrid partial prepayment, partial trade credit and partial backordering

References

• Aggarwal, S. P., & Jaggi, C. K. (1995). Ordering policies of deteriorating items under permissible delay in payments. Journal of the Operational Research Society,46(5) 658–662.10.1057/jors.1995.90
   Web of Science ®Google Scholar
• Bakker, M., Riezebos, J., & Teunter, R. H. (2012). Review of inventory systems with deterioration since 2001. European Journal of Operational Research, 221(2), 275–284.10.1016/j.ejor.2012.03.004
   Web of Science ®Google Scholar
• Bhunia, A., Jaggi, C. K., Sharma, A., & Sharma, R. (2014). A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging. Applied Mathematics and Computation, 232, 1125–1137.10.1016/j.amc.2014.01.115
   Web of Science ®Google Scholar
• Bhunia, A., Shaikh, A., & Gupta, R. (2015). A study on two-warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimisation. International Journal of Systems Science, 46(6), 1036–1050.10.1080/00207721.2013.807385
   Web of Science ®Google Scholar
• Cárdenas-Barrón, L. E., & Sana, S. S. (2015). Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort. Applied Mathematical Modelling, 39(21), 6725–6737.
   Web of Science ®Google Scholar
• Chang, C.-T. (2004). An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity. International Journal of Production Economics, 88(3), 307–316.10.1016/S0925-5273(03)00192-0
   Web of Science ®Google Scholar
• Chen, S.-C., Cárdenas-Barrón, L. E., & Teng, J.-T. (2014). Retailer’s economic order quantity when the supplier offers conditionally permissible delay in payments link to order quantity. International Journal of Production Economics, 155, 284–291.10.1016/j.ijpe.2013.05.032
   Web of Science ®Google Scholar
• Chen, S.-C., & Teng, J.-T. (2014). Retailer’s optimal ordering policy for deteriorating items with maximum lifetime under supplier’s trade credit financing. Applied Mathematical Modelling, 38(15–16), 4049–4061.10.1016/j.apm.2013.11.056
   Web of Science ®Google Scholar
• Chen, S.-C., Teng, J.-T., & Skouri, K. (2014). Economic production quantity models for deteriorating items with up-stream full trade credit and down-stream partial trade credit. International Journal of Production Economics, 155, 302–309.10.1016/j.ijpe.2013.07.024
   Web of Science ®Google Scholar
• Chern, M.-S., Pan, Q., Teng, J.-T., Chan, Y.-L., & Chen, S.-C. (2013). Stackelberg solution in a vendor–buyer supply chain model with permissible delay in payments. International Journal of Production Economics, 144(1), 397–404.10.1016/j.ijpe.2013.03.008
   Web of Science ®Google Scholar
• Chung, K.-J., Eduardo Cárdenas-Barrón, L. E., & Ting, P.-S. (2014). An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit. International Journal of Production Economics, 155, 310–317.10.1016/j.ijpe.2013.12.033
   Web of Science ®Google Scholar
• Covert, R. P., & Philip, G. C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transactions, 5(4), 323–326.10.1080/05695557308974918
   Google Scholar
• Das, B. C., Das, B., & Mondal, S. K. (2015). An integrated production inventory model under interactive fuzzy credit period for deteriorating item with several markets. Applied Soft Computing, 28, 453–465.10.1016/j.asoc.2014.11.057
   Web of Science ®Google Scholar
• Geetha, K., & Uthayakumar, R. (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), 2492–2505.10.1016/j.cam.2009.10.031
   Web of Science ®Google Scholar
• Ghare, P., & Schrader, G. (1963). A model for exponentially decaying inventory. Journal of Industrial Engineering, 14(5), 238–243.
   Google Scholar
• Ghoreishi, M., Weber, G.-W., & Mirzazadeh, A. (2015). An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation-and selling price-dependent demand and customer returns. Annals of Operations Research, 226(1), 221–238.10.1007/s10479-014-1739-7
   Web of Science ®Google Scholar
• Goyal, S., & Giri, B. C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134(1), 1–16.10.1016/S0377-2217(00)00248-4
   Web of Science ®Google Scholar
• Goyal, S. K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society, 36(4) 335–338.10.1057/jors.1985.56
   Web of Science ®Google Scholar
• Harris, F. W. (1913). How many parts to make at once. The Magazine of Management, 152(10), 135–136.
   Google Scholar
• 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), 1011–1015.10.1057/palgrave.jors.2601588
   Web of Science ®Google Scholar
• Janssen, L., Claus, T., & Sauer, J. (2016). Literature review of deteriorating inventory models by key topics from 2012 to 2015. International Journal of Production Economics, 182, 86–112.10.1016/j.ijpe.2016.08.019
   Web of Science ®Google Scholar
• Kaanodiya, K., & Pachauri, R. (2012). An EPQ model under two levels of trade credit and limited storage space. International Journal of Industrial Engineering Computations, 3(3), 445–462.
   Google Scholar
• Keren, Z., Siyu, T., Bin, C., & Xiaoyan, Z. (2015). Optimal replenishment policy in the EPQ model under two-part trade credit. In 12th International Conference on Service Systems and Service Management (ICSSSM).
   Google Scholar
• Lashgari, M., Taleizadeh, A. A., & Sana, S. S. (2016). An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade credit linked to order quantity. Management, 12(3), 1091–1119.
   Web of Science ®Google Scholar
• Mahata, G. C. (2012). An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain. Expert Systems with Applications, 39(3), 3537–3550.10.1016/j.eswa.2011.09.044
   Web of Science ®Google Scholar
• Maiti, A. K., Bhunia, A. K., & Maiti, M. (2007). Some inventory problems via genetic algorithms (PhD Thesis). Vidyasagar University.
   Google Scholar
• Maiti, A., Maiti, M., & Maiti, M. (2009). Inventory model with stochastic lead-time and price dependent demand incorporating advance payment. Applied Mathematical Modelling, 33(5), 2433–2443.10.1016/j.apm.2008.07.024
   Web of Science ®Google Scholar
• Min, J., Zhou, Y.-W., & Zhao, J. (2010). An inventory model for deteriorating items under stock-dependent demand and two-level trade credit. Applied Mathematical Modelling, 34(11), 3273–3285.10.1016/j.apm.2010.02.019
   Web of Science ®Google Scholar
• Musa, A., & Sani, B. (2012). Inventory ordering policies of delayed deteriorating items under permissible delay in payments. International Journal of Production Economics, 136(1), 75–83.10.1016/j.ijpe.2011.09.013
   Web of Science ®Google Scholar
• Ouyang, L.-Y., & Chang, C.-T. (2013). Optimal production lot with imperfect production process under permissible delay in payments and complete backlogging. International Journal of Production Economics, 144(2), 610–617.10.1016/j.ijpe.2013.04.027
   Web of Science ®Google Scholar
• Ouyang, L.-Y., Ho, C.-H., Su, C.-H., & Yang, C.-T. (2015). An integrated inventory model with capacity constraint and order-size dependent trade credit. Computers & Industrial Engineering, 84, 133–143.
   Web of Science ®Google Scholar
• Pei-Xin, Z. (2007). An EOQ model for items with Weibull distribution deterioration. In 2nd IEEE Conference on Industrial Electronics and Applications, 2007. ICIEA 2007. IEEE.
   Google Scholar
• Pentico, D. W., & Drake, M. J. (2009). The deterministic EOQ with partial backordering: A new approach. European Journal of Operational Research, 194(1), 102–113.10.1016/j.ejor.2007.12.004
   Web of Science ®Google Scholar
• Pentico, D. W., & Drake, M. J. (2011). A survey of deterministic models for the EOQ and EPQ with partial backordering. European Journal of Operational Research, 214(2), 179–198.10.1016/j.ejor.2011.01.048
   Web of Science ®Google Scholar
• Salameh, M., Abboud, N., El-Kassar, A., & Ghattas, R. (2003). Continuous review inventory model with delay in payments. International Journal of Production Economics, 85(1), 91–95.10.1016/S0925-5273(03)00089-6
   Web of Science ®Google Scholar
• Sana, S. S., & Chaudhuri, K. (2008). A deterministic EOQ model with delays in payments and price-discount offers. European Journal of Operational Research, 184(2), 509–533.10.1016/j.ejor.2006.11.023
   Web of Science ®Google Scholar
• Seifert, D., Seifert, R. W., & Protopappa-Sieke, M. (2013). A review of trade credit literature: Opportunities for research in operations. European Journal of Operational Research, 231(2), 245–256.10.1016/j.ejor.2013.03.016
   Web of Science ®Google Scholar
• Shah, N. H. (2015). Manufacturer-retailer inventory model for deteriorating items with price-sensitive credit-linked demand under two-level trade credit financing and profit sharing contract. Cogent Engineering, 2(1), 1012989.
   Web of Science ®Google Scholar
• Singh, C., & Singh, S. R. (2015). Progressive trade credit policy in a supply chain with and without stock-out for supplier’s lead time under inflationary and fuzzy environment. Systems Science & Control Engineering, 3(1), 284–299.10.1080/21642583.2015.1018555
   Web of Science ®Google Scholar
• Skouri, K., Konstantaras, I., Papachristos, S., & Teng, J.-T. (2011). Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payments. Expert Systems with Applications, 38(12), 14861–14869.10.1016/j.eswa.2011.05.061
   Web of Science ®Google Scholar
• Taleizadeh, A. A. (2014). An economic order quantity model for deteriorating item in a purchasing system with multiple prepayments. Applied Mathematical Modelling, 38(23), 5357–5366.10.1016/j.apm.2014.02.014
   Web of Science ®Google Scholar
• Taleizadeh, A. A. (2014). An EOQ model with partial backordering and advance payments for an evaporating item. International Journal of Production Economics, 155, 185–193.10.1016/j.ijpe.2014.01.023
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Barzinpour, F., & Wee, H. M. (2011). Meta-heuristic algorithms for solving a fuzzy single-period problem. Mathematical and Computer Modelling, 54(5-6), 1273–1285.10.1016/j.mcm.2011.03.038
   Google Scholar
• Taleizadeh, A. A., Moghadasi, H., Niaki, S. T. A., & Eftekhari, A. K. (2009). An EOQ-joint replenishment policy to supply expensive imported raw materials with payment in advance. Journal of Applied Science, 8(23), 4263–4273.
   Google Scholar
• Taleizadeh, A. A., & Nematollahi, M. R. (2014). An inventory control problem for deteriorating items with backordering and financial engineering considerations. Applied Mathematical Modeling, 38, 93–109.
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Niaki, S. T. A., & Aryanezhad, M. B. (2010). Optimising multi-product multi-chance-constraint inventory control system with stochastic period lengths and total discount under fuzzy purchasing price and holding costs. International Journal of Systems Science, 41(10), 1187–1200.10.1080/00207720903171761
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Niaki, S. T .A., Aryanezhad, M. B., & Tafti, A. (2010). A genetic algorithm to optimize multiproduct multiconstraint inventory control systems with stochastic replenishment intervals and discount. The International Journal of Advanced Manufacturing Technology, 51(1–4), 311–323.10.1007/s00170-010-2604-8
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Niaki, S. T. A., & Nikousokhan, R. (2011). Constraint multiproduct joint-replenishment inventory control problem using uncertain programming. Applied Soft Computing, 11(8), 5143–5154.10.1016/j.asoc.2011.05.045
   Web of Science ®Google Scholar
• Taleizadeh, A. A., & Pentico, D. W. (2013). An economic order quantity model with a known price increase and partial backordering. European Journal of Operational Research, 228(3), 516–525.10.1016/j.ejor.2013.02.014
   Web of Science ®Google Scholar
• Taleizadeh, A. A., & Pentico, D. W. (2014). An economic order quantity model with partial backordering and all-units discount. International Journal of Production Economics, 155, 172–184.10.1016/j.ijpe.2014.01.012
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Pentico, D. W., Aryanezhad, M. B., & Ghoreyshi, M. (2012). An economic order quantity model with partial backordering and a special sale price. European Journal of Operational Research, 221(3), 571–583.10.1016/j.ejor.2012.03.032
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Pentico, D. W., Jabalameli, M. S., & Aryanezhad, M. (2013). An economic order quantity model with multiple partial prepayments and partial backordering. Mathematical and Computer Modelling, 57(3–4), 311–323.10.1016/j.mcm.2012.07.002
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Pentico, D. W., Saeed Jabalameli, M. S., & Aryanezhad, M. (2013). An EOQ model with partial delayed payment and partial backordering. Omega, 41(2), 354–368.10.1016/j.omega.2012.03.008
   Web of Science ®Google Scholar
• Teng, J.-T. (2009). Optimal ordering policies for a retailer who offers distinct trade credits to its good and bad credit customers. International Journal of Production Economics, 119(2), 415–423.10.1016/j.ijpe.2009.04.004
   Web of Science ®Google Scholar
• Teng, J.-T., Cárdenas-Barrón, L. E., Chang, H.-J., Wu, J., & Hu, Y. (2016). Inventory lot-size policies for deteriorating items with expiration dates and advance payments. Applied Mathematical Modelling, 40(19–20), 8605–8616.10.1016/j.apm.2016.05.022
   Web of Science ®Google Scholar
• Teng, J.-T., Chang, C.-T., & Chern, M.-S. (2012). Vendor–buyer inventory models with trade credit financing under both non-cooperative and integrated environments. International Journal of Systems Science, 43(11), 2050–2061.10.1080/00207721.2011.564322
   Web of Science ®Google Scholar
• Teng, J.-T., Lou, K.-R., & Wang, L. (2014). Optimal trade credit and lot size policies in economic production quantity models with learning curve production costs. International Journal of Production Economics, 155, 318–323.10.1016/j.ijpe.2013.10.012
   Web of Science ®Google Scholar
• Teng, J.-T., Min, J., & Pan, Q. (2012). Economic order quantity model with trade credit financing for non-decreasing demand. Omega, 40(3), 328–335.10.1016/j.omega.2011.08.001
   Web of Science ®Google Scholar
• Teng, J.-T., Yang, H.-L., & Chern, M.-S. (2013). An inventory model for increasing demand under two levels of trade credit linked to order quantity. Applied Mathematical Modelling, 37(14), 7624–7632.10.1016/j.apm.2013.02.009
   Web of Science ®Google Scholar
• Tsao, Y.-C. (2012). Determination of production run time and warranty length under system maintenance and trade credits. International Journal of Systems Science, 43(12), 2351–2360.10.1080/00207721.2011.577245
   Web of Science ®Google Scholar
• Wu, J., & Chan, Y.-L. (2014). Lot-sizing policies for deteriorating items with expiration dates and partial trade credit to credit-risk customers. International Journal of Production Economics, 155, 292–301.10.1016/j.ijpe.2014.03.023
   Web of Science ®Google Scholar
• Wu, J., Ouyang, L.-Y., Cárdenas-Barrón, L. E., & Goyal, S. K. (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), 898–908.10.1016/j.ejor.2014.03.009
   Web of Science ®Google Scholar
• Wu, X.-l., & Zhou, J.-c. (2015). Retailer’s optimal ordering decision with trade credit financing. In Proceedings of the 5th International Asia Conference on Industrial Engineering and Management Innovation (IEMI2014). Springer.
   Google Scholar
• Yadav, D., Singh, S., & Kumari, R. (2015). Retailer’s optimal policy under inflation in fuzzy environment with trade credit. International Journal of Systems Science, 46(4), 754–762.10.1080/00207721.2013.801094
   Web of Science ®Google Scholar
• Zhang, A. X. (1996). Optimal advance payment scheme involving fixed per-payment costs. Omega, 24(5), 577–582.10.1016/0305-0483(96)00023-0
   Web of Science ®Google Scholar
• Zhang, Q., Dong, M., Luo, J., & Segerstedt, A. (2014). Supply chain coordination with trade credit and quantity discount incorporating default risk. International Journal of Production Economics, 153, 352–360.10.1016/j.ijpe.2014.03.019
   Web of Science ®Google Scholar
• Zhang, Q., Tsao, Y.-C., & Chen, T.-H. (2014). Economic order quantity under advance payment. Applied Mathematical Modelling, 38(24), 5910–5921.10.1016/j.apm.2014.04.040
   Web of Science ®Google Scholar
• Zhao, L. (2014). An inventory model under trapezoidal type demand, Weibull-distributed deterioration, and partial backlogging. Journal of Applied Mathematics, 2014.
   Google Scholar
• Zia, N. P., & Taleizadeh, A. A. (2015). A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment. Transportation Research Part E: Logistics and Transportation Review, 82, 19–37.
   Web of Science ®Google Scholar