Quantity discount for integrated supply chain model with back order and controllable deterioration rate

Authors

  • Poonam Mishra Department of Mathematics and Computer Science, School of technology, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, India
  • Isha Talati Department of Mathematics and Computer Science, School of technology, Pandit Deendayal Petroleum University, Raisan, Gandhinagar, India

DOI:

https://doi.org/10.2298/YJOR171014012M

Keywords:

integrated inventory, advertise and stock dependent demand, constant deterioration, back order, quantity discount, preservative technology

Abstract

Due to uncertainty in economy, business players examine different ways to ensure the survival and growth in the competitive atmosphere. In this scenario, the use of effective promotional tool and co-ordination among players enhance supply chain profit. The proposed model deals with the effect of quantity discount on an integrated inventory system for constantly deteriorating items with fix life time. We use advertisement and quantity discount to accelerate stock dependent demand and further, the offered preservation technology for controlling deterioration rate. The model is validated numerically, and the sensitivity analysis for critical supply chain parameters is carried out. The results can be used in the decision making process of the supply chains associated with the supply of cosmetic, tinned food, drugs, and other FMCGs.

References

Banerjee, A., "A joint economic-lot-size model for purchaser and vendor", Decision Sciences, 17(3) (1986) 292-311.

Cardenas-Barron, L., Wee, H., & Blosc, M., "Solving the vendor-buyer integrated inventory system with arithmetic-geometric inequality", Mathematical and Computer Modelling, 53(5) (2011) 991-997.

Chang, Y., "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model", Omega, 41 (2013) 872-880.

Chang, C., Chen, Y., Tsai, R., & Wu, S., "Inventory models with stock-and price-dependent demand for deteriorating items based on limited shelf space", Yugoslav Journal of Operations Research, 20(1) (2010) 55-69.

Chowdhury, R., Ghosh, S., & Chaudhuri, K., "An inventory model for perishable items with stock and advertisement-sensitive demand", International Journal of Management Science and Engineering Management, 9(3) (2013) 169-177.

Chung, K., & Cardenas-Barron, L., "The simplified solution procedure for deteriorating items under stock-dependent demand and two-level trade credit in supply chain management", Applied Mathematical Modelling, 37(7) (2013) 4653-4660.

Duan, Y., Luo, J., & Huo, J., "Buyer-vendor inventory coordination with quantity discount incentive for fixed lifetime product", International Journal of Production Economics, 128 (2010) 351-357.

Ghare, P., & Schrader, G., "A model for an exponentially decaying inventory", Journal of Industrial Engineering, 14(5) (1963) 238-243.

Giri, B., & Maiti, T., "Supply chain model with price and trade credit-sensitive demand under two-level permissible delay in payments", International Journal of Systems Science, 44(5) (2013) 937-948.

Goyal, S., & Gunasekaran, A., "An integrated production-inventory-marketing model for deteriorating items", Computers and Industrial Engineering, 28(4) (1995) 755-762.

Goyal, S., "An integrated inventory model for a single supplier-single customer problem", International Journal of Production Research, 15(1) (1976) 107-111.

Hsu, P., Wee, H., & Teng, H., "Preservation technology investment for deteriorating inventory", International Journal of Production Economics, 124 (2010) 388-394.

Khouja, M., & Robbins, S., "Linking advertising and quantity decisions in the single period inventory model", International Journal of Production Economics, 86(2) (2003) 93-105.

Mishra, U., Cardenas-Barron, L., Tiwari, S., Shaikh, A., & Garza, G., "An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment", Annals of Operations Research, 254(1-2) (2017) 165-190.

Monahan, J., "A quantity discount pricing model to increase vendor profits", Management Science, 30 (1984) 720-726.

Murr, D., & Morris, L., "Effect of storage temperature on post change in mushrooms", Journal of the American Society for Horticultural Science, 100 (1975) 16-19.

Pal, M., & Chandra, S., "A periodic review inventory model with stock dependent demand, permissible delay in payment and price discount on backorders", Yugoslav Journal of Operations Research, 24(1) (2014) 99-110.

Rau, H., Wu, M., & Wee, H., "Integrated inventory model for deteriorating items under a multi-echelon supply chain environment", International Journal of Production Economics, 86 (2006) 155-168.

Ravithammal, M., Uthayakumar, R., & Ganesh, S., "Buyer-vendor incentive inventory model with fixed lifetime product with fixed and linear back order", National Journal on Advances in Computing and Management, 5(1) (2014) 21-34.

Ravithammal, M., Uthayakumar, R., & Ganesh, S., "An integrated production inventory system for perishable items with fixed and linear back orders", International Journal of Mathematical Analysis, 8(32) (2014) 1549-1559.

Sarkar, B., "Supply chain coordination with variable backorder, inspections, and discount policy for fixed lifetime products", Mathematical Problems in Engineering, 2016 (2016) 1-14.

Sarkar, B., Gupta, H., Chaudhuri, K., & Goyal, S., "An integrated inventory model with variable lead time, defective units and delay in payments", Applied Mathematics and Computation, 237 (2006) 650-658.

Shah, N., & Pandey, P., "Deteriorating inventory model when demand depends on advertisement and stock display", International Journal of Operations Research, 6(2) (2009) 33-44.

Shah, N., "Optimal inventory policies for single-supplier single-buyer deteriorating items with price-sensitive stock-dependent demand and order linked trade credit", International Journal of Inventory Control and Management, 3(1) (2013) 285-301.

Shah, N., Chaudhari, U., & Jani, M., "An integrated production-inventory model with preservation technology investment for time-varying deteriorating item under time and price sensitive demand", International Journal of Inventory Research, 3(1) (2016) 81-98.

Singh, S., & Rathore, H., "Optimal payment policy with preservation technology investment and shortages under trade credit", Indian Journal of Science and Technology, 8(S7) (2015) 203-212.

Zhang, Q., Luo, J., & Duan, Y., "Buyer-vendor coordination for fixed lifetime product with quantity discount under finite production rate", International Journal of Systems Science, 47(4) (2016) 821-834.

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Published

2018-08-01

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Section

Research Articles