Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory
RAIRO. Operations Research, Tome 55 (2021), pp. S51-S77

In a perfectly transparent and competitive market, suppliers must provide a competitive pricing and service for their customers. The aim of this study is to provide an insight into how preservation technology and credit financing could be used both to reduce the deterioration rate as well as to provide flexible financing for retailers. The methodology is to optimize the cycle length, selling price, the amount of preservation technology and credit financing using inventory theory. The result derived is an optimal total profit per unit time for the system. Finally, using MATLAB 2017a, it is shown graphically that the profit function is concave. The sensitivity analysis is illustrated using Lingo 17. The study not only provides insights to business managers in making wise managerial decisions, it also enables them to weigh the pro and con of implementing preservation technology and credit financing.

Reçu le :
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2019095
Classification : 90B05, 90B30
Keywords: non-instantaneous deterioration, Price dependent demand, partial backlogging, preservation technology, trade credit
@article{RO_2021__55_S1_S51_0,
     author = {Hashan Md Mashud, Abu and Wee, Hui-Ming and Huang, Chiao-Ven},
     title = {Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory},
     journal = {RAIRO. Operations Research},
     pages = {S51--S77},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     doi = {10.1051/ro/2019095},
     mrnumber = {4223107},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2019095/}
}
TY  - JOUR
AU  - Hashan Md Mashud, Abu
AU  - Wee, Hui-Ming
AU  - Huang, Chiao-Ven
TI  - Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory
JO  - RAIRO. Operations Research
PY  - 2021
SP  - S51
EP  - S77
VL  - 55
PB  - EDP-Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2019095/
DO  - 10.1051/ro/2019095
LA  - en
ID  - RO_2021__55_S1_S51_0
ER  - 
%0 Journal Article
%A Hashan Md Mashud, Abu
%A Wee, Hui-Ming
%A Huang, Chiao-Ven
%T Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory
%J RAIRO. Operations Research
%D 2021
%P S51-S77
%V 55
%I EDP-Sciences
%U https://www.numdam.org/articles/10.1051/ro/2019095/
%R 10.1051/ro/2019095
%G en
%F RO_2021__55_S1_S51_0
Hashan Md Mashud, Abu; Wee, Hui-Ming; Huang, Chiao-Ven. Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory. RAIRO. Operations Research, Tome 55 (2021), pp. S51-S77. doi: 10.1051/ro/2019095

[1] S. P. Aggarwal and C. K. Jaggi, Ordering policies of deteriorating items under permissible delay in payments. J. Oper. Res. Soc. 46 (1995) 658–662. | Zbl | DOI

[2] R. Begum, R. R. Sahoo and S. K. Sahu, A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages. Int. J. Syst. Sci. 43 (2012) 903–910. | MR | Zbl | DOI

[3] S. C. Chen and J. T. Teng, Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis. Eur. J. Oper. Res. 243 (2015) 566–575. | MR | DOI

[4] A. Cambini and L. Martein, Generalized convexity and optimization: Theory and application. Springer-Verlag Berlin Heidelberg, USA (2009). | MR | Zbl

[5] B. K. Dey, B. Sarkar, M. Sarkar and S. Pareek, An integrated inventory model involving discrete Setup cost reduction, variable safety factor, selling price dependent demand, and investment. RAIRO: OR 53 (2019) 39–57. | MR | Numdam | DOI

[6] C. Y. Dye, The effect of preservation technology investment on a non-instantaneous deteriorating inventory model. Omega 41 (2013) 872–880. | DOI

[7] C. Y. Dye and T. P. Hsieh, An optimal replenishment policy for deteriorating items with effective investment in preservation technology. Eur. J. Oper. Res. 218 (2012) 106–112. | MR | Zbl | DOI

[8] S. K. Goyal, Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 36 (1985) 335–338. | Zbl | DOI

[9] Y. He and H. Huang, Optimizing inventory and pricing policy for seasonal deteriorating products with preservation technology investment J. Ind. Eng. 2013 (2013) 793568.

[10] T. P. Hsieh and C. Y. Dye, A production–inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time. J. Comput. Appl. Math. 239 (2013) 25–36. | MR | Zbl | DOI

[11] C. K. Jaggi, S. Tiwari and S. K. Goel, Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities. Ann. Oper. Res. 248 (2017) 253–280. | MR | DOI

[12] G. Li, X. He, J. Zhou and H. Wu, Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items. Omega 84 (2018) 114–126. | DOI

[13] G. Liu, J. Zhang and W. Tang, Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand. Ann. Oper. Res. 226 (2015) 397–416. | MR | DOI

[14] L. Lu, J. Zhang and W. Tang, Optimal dynamic pricing and replenishment policy for perishable items with inventory-level-dependent demand. Int. J. Syst. Sci. 47 (2016) 1480–1494. | MR | DOI

[15] A. Mashud, M. Khan, M. Uddin and M. Islam, A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages. Uncertain Supply Chain Manage. 6 (2018) 49–64. | DOI

[16] V. K. Mishra, Controllable deterioration rate for time-dependent demand and time-varying holding cost. Yugoslav J. Oper. Res. 24 (2014) 87–98. | MR | DOI

[17] V. K. Mishra, An inventory model of instantaneous deteriorating items with controllable deterioration rate for time dependent demand and holding cost. J. Ind. Eng. Manage. 6 (2013) 495–506.

[18] U. Mishra, J. T. Aguilera, S. Tiwari and L. E. C. Barón, Retailer’s joint ordering, pricing, and preservation technology investment policies for a deteriorating item under permissible delay in payments. Math. Probl. Eng. 5 (2018) 1–14 | MR | DOI

[19] A. H. Nobil, L. E. Cárdenas-Barón and E. Nobil, Optimal and simple algorithms to solve integrated procurement-production-inventory problem without/with shortage. RAIRO: OR 52 (2018) 755–778. | MR | Numdam | DOI

[20] A. H. Nobil, A. Kazemi and A. A. Taleizadeh, Single-machine lot scheduling problem for deteriorating items with negative exponential deterioration rate. RAIRO: OR 53 (2019) 1297–1307. | MR | Numdam | DOI

[21] A. H. Nobil, A. Kazemi and A. A. Taleizadeh, Economic lot-size problem for a cleaner manufacturing system with warm-up period. RAIRO: OR 54 (2020) 1495–1514. | MR | Numdam | DOI

[22] R. Pandey, S. Singh, B. Vaish and S. Tayal, An EOQ model with quantity incentive strategy for deteriorating items and partial backlogging. Uncertain Supply Chain Manage. 5 (2017) 135–142. | DOI

[23] B. Pal, Optimal production model with quality sensitive market demand, partial backlogging and permissible delay in payment. RAIRO: OR 52 (2018) 499–512. | MR | Numdam | DOI

[24] M. Palanivel and R. Uthayakumar, An inventory model with imperfect items, stock dependent demand and permissible delay in payments under inflation. RAIRO: OR 50 (2016) 473–489. | MR | Numdam | DOI

[25] B. Sarkar and S. Sarkar, An improved model with partial backlogging, time varying deterioration and stock-dependent demand. Econ. Model. 30 (2013) 924–932. | DOI

[26] B. K. Sett, B. Sarkar and A. Goswami, A two-warehouse inventory model with increasing demand and time varying deterioration. Sci. Iran. 19 (2012) 1969–1977. | DOI

[27] N. H. Shah, H. N. Soni and K. A. Patel, Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates. Omega 41 (2013) 421–430. | DOI

[28] A. A. Shaikh, A. H. M. Mashud, M. S. Uddin, and M. A. A. Khan, Non instantaneous deterioration inventory model with price and stock dependent demand for fully backlogged shortages under inflation. Int. J. Bus. Forecasting Marketing Intell. 3 (2017) 152–164. | DOI

[29] S. Singh, D. Khurana and S. Tayal, An economic order quantity model for deteriorating products having stock dependent demand with trade credit period and preservation technology. Uncertain Supply Chain Manage. 4 (2016) 29–42. | DOI

[30] J. T. Teng, J. Min and Q. Pan, Economic order quantity model with trade credit financing for non-decreasing demand. Omega 40 (2012) 328–335. | DOI

[31] S. Tiwari, L. E. Cárdenas-Barrón, A. Khanna and C. K. Jaggi, Impact of trade credit and inflation on retailer’s ordering policies for non-instantaneous deteriorating items in a two-warehouse environment. Int. J. Prod. Econ. 176 (2016) 154–169. | DOI

[32] S. Tiwari, H. M. Wee and S. Sarkar, Lot-sizing policies for defective and deteriorating items with time-dependent demand and trade credit. Eur. J. Ind. Eng. 11 (2017) 683–703. | DOI

[33] S. Tiwari, L. E. Cárdenas-Barrón, M. Goh and A. A. Shaikh, Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain. Int. J. Prod. Econ. 200 (2018) 16–36. | DOI

[34] Y. C. Tsao and G. J. Sheen, Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments. Comput. Oper. Res. 35 (2008) 3562–3580. | Zbl | DOI

[35] C. T. Yang, C. Y. Dye and J. F. Ding, Optimal dynamic trade credit and preservation technology allocation for a deteriorating inventory model. Comput. Ind. Eng. 87 (2015) 356–369. | DOI

[36] J. Zhang, Z. Bai and W. Tang, Optimal pricing policy for deteriorating items with preservation technology investment. J. Ind. Manage. Optim. 10 (2014) 1261–1277. | MR | Zbl | DOI

Cité par Sources :