The concept of advanced sustainable inventory management, where demand pattern stock level and advertising dependent under trade-credit policy is taking account in this present study. Optimal credit period and cycle time are the main objective of this advanced system. A developed solution methodology is derived to show the existence of global optimality under optimum credit period and cycle time. The main concern of this advanced system is to maximize the annual total system profit of retailer with finite replenishment rate. Numerical illustration are carry forward for different cases to prove the stainability along with real impact of this model. Sensitive analysis for the key parameters is discussed in sensitivity analysis section along with some real managerial insights.
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2020067
Keywords: Sustainable inventory management, advertisement cost, permissible delay-in-payments, shortages, trade-credit policy
@article{RO_2021__55_1_261_0,
author = {Mandal, Buddhadev and Dey, Bikash Koli and Khanra, Sudhansu and Sarkar, Biswajit},
title = {Advance sustainable inventory management through advertisement and trade-credit policy},
journal = {RAIRO. Operations Research},
pages = {261--284},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {1},
doi = {10.1051/ro/2020067},
mrnumber = {4234136},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020067/}
}
TY - JOUR AU - Mandal, Buddhadev AU - Dey, Bikash Koli AU - Khanra, Sudhansu AU - Sarkar, Biswajit TI - Advance sustainable inventory management through advertisement and trade-credit policy JO - RAIRO. Operations Research PY - 2021 SP - 261 EP - 284 VL - 55 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020067/ DO - 10.1051/ro/2020067 LA - en ID - RO_2021__55_1_261_0 ER -
%0 Journal Article %A Mandal, Buddhadev %A Dey, Bikash Koli %A Khanra, Sudhansu %A Sarkar, Biswajit %T Advance sustainable inventory management through advertisement and trade-credit policy %J RAIRO. Operations Research %D 2021 %P 261-284 %V 55 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020067/ %R 10.1051/ro/2020067 %G en %F RO_2021__55_1_261_0
Mandal, Buddhadev; Dey, Bikash Koli; Khanra, Sudhansu; Sarkar, Biswajit. Advance sustainable inventory management through advertisement and trade-credit policy. RAIRO. Operations Research, Tome 55 (2021) no. 1, pp. 261-284. doi: 10.1051/ro/2020067
[1] and , Impact of carbon emissions in a sustainable supply chain management for a second generation biofuel. J. Cleaner Prod. 186 (2018) 807–820. | DOI
[2] and , Management of next-generation energy using a triple bottom line approach under a supply chain framework. Res. Conserv. Recycl. 150 (2019). | DOI
[3] and , An optimal production flow control problem with piecewise constant demand. Math. Comput. Mod. 24 (1996) 87–107. | MR | Zbl | DOI
[4] , and , An EOQ model for deteriorating items under supplier credits linked to ordering quantity. Appl. Math. Model. 27 (2003) 983–996. | Zbl | DOI
[5] , and , Retailer’s economic order quantity when the supplier offers conditionally permissible delay-in-payments link to order quantity. Int. J. Prod. Econ. 155 (2014) 284–291. | DOI
[6] , and , A partial replenishment model for an inventory with constant demand. App. Math. Mod. 32 (2008) 1790–1796. | MR | Zbl | DOI
[7] , Comments on the EOQ model under retailer partial trade-credit policy in the supply chain. Int. J. Prod. Econ. 114 (2008) 308–312. | DOI
[8] , , and , An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling-price dependent demand, and investment. RAIRO: OR 53 (2018) 39–57. | MR | DOI
[9] , and , A Two-Echelon supply chain management with setup time and cost reduction, quality improvement and variable production rate. Mathematics 7 (2019) 328. | DOI
[10] , , and , Autonomation policy to control work-in-process inventory in a smart production system. Int. J. Prod. Res. 59 (2021) 1258–1280. | DOI
[11] , , , , , , , and , Investment for process quality improvement and setup cost reduction in an imperfect production process with warranty policy and shortages. RAIRO: OR 54 (2020) 251–266. | MR | Numdam | DOI
[12] and , Application of preservation technology for lifetime dependent products in an integrated production system. J. Ind. Manage. Opt. 16 (2020) 141–167. | MR | DOI
[13] , , , and , The effect of advance payment with discount facility on supply decisions of deteriorating products whose demand is both price and stock dependent. Int. Tran. Opera. Res. 27 (2019) 1343–1367. | MR | DOI
[14] , , , and , Inventory system with expiration date: pricing and replenishment decisions. Comput. Ind. Eng. 132 (2019) 232–247. | DOI
[15] , , and , Two-warehouse inventory model for deteriorating items with partial backlogging and advance payment scheme. RAIRO: OR 53 (2019) 1691–1708. | MR | Numdam | DOI
[16] , , and , Effect of electrical energy on the manufacturing setup cost reduction, transportation discounts, and process quality improvement in a two-echelon supply chain management under service level constraint. Energies 12 (2019) 3733. | DOI
[17] , , and , Integrated vendor-buyer strategies for imperfect production systems with maintenance and warranty policy. RAIRO: OR 54 (2020) 435–450. | MR | Numdam | DOI
[18] , , and , Inventory and pricing decisions for imperfect quality items with inspection errors, sales returns, and partial backorders under inflation. RAIRO: OR 54 (2020) 287–306. | MR | Numdam | DOI
[19] , and , An inventory model with time dependent demand and shortages under trade credit policy. Eco. Mod. 35 (2013) 349–355. | DOI
[20] and , Multi-stage cleaner production process with quality improvement and lead time dependent ordering cost. J. Cleaner Prod. 144 (2017) 572–590. | DOI
[21] , , and , A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages. Uncer. Sup. Chain Manage. 6 (2018) 49–64. | DOI
[22] , , and , Non-instantaneous deteriorating inventory model under the joined effect of trade-credit, preservation technology and advertisement policy. Kybernetes 49 (2019) 1645–1674. | DOI
[23] , and , Preservation technology investment, trade credit and partial backordering model for a non-instantaneous deteriorating inventory. RAIRO: OR 5 (2021) S51–S77. | MR | DOI
[24] , and , A two-level trade-credit approach to an integrated price-sensitive inventory model with shortages. Int. J. App. Comput. Math. 5 (2019) 121. | MR | DOI
[25] , and , A sustainable production-inventory model for a controllable carbon emissions rate under shortages. J. Cleaner Prod. 256 (2020). | DOI
[26] , and , Min–max distribution free continuous-review model with a service level constraint and variable lead time. App. Math. Comput. 229 (2014) 310–315. | MR | DOI
[27] , and , Two-echelon supply chain coordination with advertising demand under Stackelberg game policy. Eur. J. Ind. Eng. 13 (2019) 213–244. | DOI
[28] and , Designing distribution patterns for long-term inventory routing with constant demand rates. Int. J. Prod. Econ. 112 (2008) 255–263. | DOI
[29] and , On a volume flexible stock-dependent inventory model. Proc. Nat. Acad. Sci. Ind. 76 (2006) 309–315. | Zbl
[30] and , An inventory model for stock with advertising sensitive demand. IMA J. Manage. Math. 19 (2008) 51–62. | MR | Zbl
[31] , A production-inventory model with probabilistic deterioration in two-echelon supply chain management. App. Math. Model. 37 (2013) 3138–3151. | MR | DOI
[32] and , Partial trade-credit policy of retailer with exponentially deteriorating items. Int. J. App. Comput. Math. 3 (2015) 343–368. | MR | DOI
[33] and , An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Eco. Mod. 30 (2013) 924–932. | DOI
[34] and , How does an industry reduce waste and consumed energy within a multi-stage smart sustainable biofuel production system? J. Cleaner Prod. 262 (2020). | DOI
[35] , and , A stock-dependent inventory model in an imperfect production process. Int. J. Proc. Manage. 3 (2010) 361–378.
[36] , and , An inventory model with finite replenishment rate, trade credit policy and price-discount offer. J. Ind. Eng. 2013 (2013) 1–18.
[37] , , and , An integrated inventory model with variable lead time, defective units and delay-in-payments. Appl. Math. Comput. 237 (2014) 650–658. | MR
[38] , , and , Effect of unequal lot sizes, variable setup cost, and carbon emission cost in a supply chain model. Math. Prob. Eng. 2015 (2015). | MR | DOI
[39] , and , Controllable lead time, service level constraint, and transportation discounts in a continuous review inventory model. RAIRO: OR 50 (2016) 921–934. | MR | Numdam | DOI
[40] , , , and , Two-echelon supply chain model with manufacturing quality improvement and setup cost reduction. J. Ind. Manage. Opt. 13 (2017) 1085–1104. | MR | DOI
[41] , and , Environmental and economic assessment of closed-loop supply chain with remanufacturing and returnable transport items. Comput. Ind. Eng. 111 (2017) 148–163. | DOI
[42] , , and , Optimal production delivery policies for supplier and manufacturer in a constrained closed-loop supply chain for returnable transport packaging through metaheuristic approach. Comput. Ind. Eng. 135 (2019) 987–1003. | DOI
[43] , and , A cooperative advertising collaboration policy in supply chain management under uncertain conditions. App. Soft Comput. 88 (2020).
[44] , , , , and , Optimal replenishment decision for retailers with variable demand for deteriorating products under a trade-credit policy. RAIRO: OR 54 (2020) 1685–1701. | MR | Numdam | DOI
[45] , and , Selection of remanufacturing/production cycles with an alternative market: a perspective on waste management. J. Cleaner Prod. 245 (2020). | DOI
[46] , Dynamic optimal control models in advertising: a survey. Sia. Rev. 19 (1977) 685–725. | MR | Zbl | DOI
[47] , , and , Non-instantaneous deterioration inventory model with price and stock dependent demand for fully backlogged shortages under inflation. Int. J. Bus. Fore. Market. Int. 3 (2017) 152–164.
[48] , , and , Price discount facility in an EOQ model for deteriorating items with stock’ dependent demand and partial backlogging. Int. Trans. Oper. Res. 26 (2019) 1365–1395. | MR | DOI
[49] and , Decision Systems for Inventory Management and Production Planning, 2nd edition. Wiley, New York (1985).
[50] and , Optimal strategy for an integrated inventory system involving variable production and defective items under retailer partial trade-credit policy. Dec. Sup. Sys. 54 (2012) 235–247. | DOI
[51] , and , Delayed payment policy in multi-product single-machine economic production quality model with repair failure and partial backordering. J. Ind. Manage. Opt. 16 (2020) 1273–1296. | MR | Zbl | DOI
[52] , Optimal advertising and goodwill under uncertainty. Oper. Res. 26 (1978) 450–463. | MR | Zbl | DOI
[53] , , and , A sustainable development framework for a cleaner multi-item multi-stage textile production system with a process improvement initiative. J. Cleaner Prod. 246 (2020). | DOI
[54] , and , Sustainable ordering policies for non-instantaneous deteriorating items under carbon emission and multi-trade-credit-policies. J. Cleaner Prod. 240 (2019) 118–183. | DOI
[55] and , Recovery-channel selection in a hybrid manufacturing–remanufacturing production model with RFID and product quality. Int. J. Prod. Econ. 219 (2020) 360–374. | DOI
Cité par Sources :





