This study introduces an inventory system with a non-instantaneous deteriorating product with credit facility and variable demand depending on the selling price. Two different selling prices are considered in the deterioration and non-deterioration periods. Shortages are partially backlogged and dependent on the length of the customers’ waiting time upto the arrival of fresh lot. Alternative trade-credit policy is applied herein, and several cases, sub-cases and situations are investigated. The corresponding optimization problems of different cases, sub-cases and situations are solved using an interval-oriented multi-section technique with the help of interval mathematics and interval order relations. A numerical example with three different credit periods is studied and solved to validate the said problem. Also, two different case studies are investigated. Then to investigate the effect of changes of several system parameters on the optimal policy, post optimality analyses are performed.
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DOI : 10.1051/ro/2021015
Keywords: Inventory, non-instantaneous deterioration, credit policy, partial backlogging
@article{RO_2021__55_2_1043_0,
author = {Shaikh, Ali Akbar and Das, Subhash Chandra and Bhunia, Asoke Kumar and Sarkar, Biswajit},
title = {Decision support system for customers during availability of trade credit financing with different pricing situations},
journal = {RAIRO. Operations Research},
pages = {1043--1061},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {2},
doi = {10.1051/ro/2021015},
mrnumber = {4254324},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021015/}
}
TY - JOUR AU - Shaikh, Ali Akbar AU - Das, Subhash Chandra AU - Bhunia, Asoke Kumar AU - Sarkar, Biswajit TI - Decision support system for customers during availability of trade credit financing with different pricing situations JO - RAIRO. Operations Research PY - 2021 SP - 1043 EP - 1061 VL - 55 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021015/ DO - 10.1051/ro/2021015 LA - en ID - RO_2021__55_2_1043_0 ER -
%0 Journal Article %A Shaikh, Ali Akbar %A Das, Subhash Chandra %A Bhunia, Asoke Kumar %A Sarkar, Biswajit %T Decision support system for customers during availability of trade credit financing with different pricing situations %J RAIRO. Operations Research %D 2021 %P 1043-1061 %V 55 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021015/ %R 10.1051/ro/2021015 %G en %F RO_2021__55_2_1043_0
Shaikh, Ali Akbar; Das, Subhash Chandra; Bhunia, Asoke Kumar; Sarkar, Biswajit. Decision support system for customers during availability of trade credit financing with different pricing situations. RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 1043-1061. doi: 10.1051/ro/2021015
[1] and , Ordering policies of deteriorating items under permissible delay in payments. J. Oper. Res. Soc. 46 (1995) 658–662. | Zbl | DOI
[2] and , On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Comput. Oper. Res. 31 (2004) 223–240. | MR | Zbl | DOI
[3] , A deterministic order level inventory model for deteriorating items with two storage facilities. Int. J. Prod. Econ. 48 (1997) 167–175. | DOI
[4] and , A study of interval metric and its application in multi-objective optimization with interval objectives. Comput. Ind. Eng. 74 (2014) 169–178. | DOI
[5] , , and , A two ware house inventory model for deteriorating items under permissible delay in payment with partial backlogging. Appl. Math. Comput. 232 (2014) 1125–1137. | MR
[6] , and , A partially integrated production-inventory model with interval valued inventory costs, variable demand and flexible reliability. Appl. Soft Comput. 55 (2017) 491–502. | DOI
[7] , and , An inventory model for deteriorating items with linear trend demand under the condition of permissible delay in payments. Prod. Planning Control 12 (2001) 274–282. | DOI
[8] and , The optimal retailer’s ordering policies for deteriorating items with limited storage capacity under trade-credit financing. Int. J. Prod. Econ. 106 (2007) 127–145. | DOI
[9] , and , Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. Eur. J. Oper. Res. 178 (2007) 789–807. | MR | Zbl | DOI
[10] , A replenishment model for radioactive nuclide generators. Manage. Sci. 14 (1968) 263–274. | DOI
[11] and , A model for exponential decaying inventories. J. Ind. Eng. 14 (1963) 238–243.
[12] , Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 36 (1985) 335–338. | Zbl | DOI
[13] and , Inventory policy and trade-credit financing. Manage. Sci. 20 (1973) 464–471. | Zbl | DOI
[14] , An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting. Eur. J. Oper. Res. 168 (2006) 463–474. | MR | Zbl | DOI
[15] and , Joint optimization of price and order quantity with shortages for a two-warehouse system. Top (Spain) 16 (2008) 195–213. | MR | Zbl | DOI
[16] , and , Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand under permissible delay in payments: a new approach. Int. J. Ind. Eng. Comput. 6 (2015) 481–502.
[17] , , and , An EOQ model with allowable shortage under trade credit in different scenario. Appl. Math. Comput. 252 (2015) 541–551. | MR
[18] , and , Effect of deterioration on two-warehouse inventory model with imperfect quality. Comput. Ind. Eng. 88 (2015) 378–385. | DOI
[19] , and , An ordering policy for deteriorating items with allowable shortages and permissible delay in payment. J. Oper. Res. Soc. 48 (1997) 826–833. | Zbl | DOI
[20] and , An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate. Comput. Ind. Eng. 63 (2012) 474–482. | DOI
[21] and , A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment. Appl. Math. Model. 35 (2011) 2221–2231. | MR | Zbl | DOI
[22] , and , A deterministic inventory model for deteriorating items with two ware houses and trade-credit in a supply chain system. Int. J. Prod. Econ. 146 (2013) 557–565. | DOI
[23] , and , Interval oriented multi-section techniques for global optimization. J. Comput. Appl. Math. 224 (2009) 476–491. | MR | Zbl | DOI
[24] , , and , Supply chain with customer-based two-level credit policies under an imperfect quality environment. Mathematics 6 (2018) 299. | DOI
[25] , and , An inventory model with time dependent demand and shortages under trade-credit policy. Econ. Model. 35 (2013) 349–355. | DOI
[26] , and , A deterministic inventory model for deteriorating items with price depended demand and time varying holding cost under trade-credit. Int. J. Soft Comput. Eng. 2 (2012) 99–105.
[27] , , and , New product launching with pricing, free replacement, rework, and warranty policies via genetic algorithmic approach. Int. J. Comput. Intell. Syst. 12 (2019) 519–529. | DOI
[28] , , , and , A production inventory model with price discounted fuzzy demand using an interval compared hybrid algorithm. Swarm Evol. Comput. 34 (2017) 1–17. | DOI
[29] , A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon. Eur. J. Oper. Res. 213 (2011) 96–106. | MR | Zbl | DOI
[30] and , An inventory model for deteriorating items and stock-dependent consumption rate. J. Oper. Res. Soc. 40 (1989) 483–488. | Zbl | DOI
[31] , , and , A sustainable inventory system with the advanced payment policy and trade-credit strategy for a two-warehouse inventory system. Kybernetes (2020). DOI: 101108/K-01-2020-0052.
[32] , and , An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging. J. Ind. Eng. Int. 9 (2013) 4. | DOI
[33] , and , An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade-credit linked to order quantity. J. Ind. Manage. Optim. 12 (2016) 1091–1119. | MR
[34] and , A deterministic inventory model for deteriorating items with two warehouses and finite replenishment rate. Eur. J. Oper. Res. 57 (1992) 71–76. | Zbl | DOI
[35] , and , Three-stage trade-credit policy in a three layer supply chain a production inventory model. Int. J. Syst. Sci. 45 (2014) 1844–1868. | MR | Zbl | DOI
[36] and , An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging. Int. J. Prod. Econ. 83 (2003) 247–256. | DOI
[37] and , , An inventory model with declining demand market for deteriorating items under a trade-credit policy. Int. J. Manage. Sci. Eng. Manage. 11 (2016) 243–251.
[38] , An inventory model for deteriorating items with price dependent demand and time varying holding cost. Adv. Model. Optim. 10 (2008) 25–37. | MR | Zbl
[39] , and , An inventory model with finite replenishment rate trade-credit policy and price discount offer. J. Ind. Eng. 30 (2013) 1–18.
[40] , and , An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann. Oper. Res. 229 (2015) 677–702. | MR | DOI
[41] , , and , Sustainable inventory management for environmental impact through partial backordering and multi-trade-credit-period. Sustainability 10 (2018) 4761. | DOI
[42] , A deterministic order level inventory model for deteriorating items with two storage facilities. Eur. J. Oper. Res. 29 (1987) 70–73. | MR | Zbl | DOI
[43] and , Retailer’s decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount. Appl. Math. Comput. 259 (2015) 569–578. | MR
[44] , , , Inventory control policies for deteriorating item with preservation technology, quadratic demand, and trade-credit for a single supplier-two retailers supply chain: a centralization vs. decentralization approach. In: Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques, IGI Global (2018) 174–193.
[45] , and , A two-warehouse inventory model for non-instantaneous deteriorating items with interval-valued inventory costs and stock-dependent demand under inflationary conditions. Neural Comput. App. 31 (2019) 1931–1948. | DOI
[46] , and , Effects of human errors and trade-credit financing in two-echelon supply chain models. Eur. J. Ind. Eng. 12 (2018) 465–503. | DOI
[47] , and , 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
[48] , , , Inventory model and trade-credit a review. Control Cybern. 39 (2010) 867–882. | MR | Zbl
[49] , and , An integrated production inventory model for perishable products with trade-credit and investment in preservation technology. Int. J. Math. Oper. Res. 8 (2016) 137–163. | MR | DOI
[50] , and , A comprehensive note on an inventory model under two levels of trade-credit and limited storage space derived without derivatives. Appl. Math. Model. 33 (2009) 4338–4396. | MR | Zbl
[51] , and , Multi-item sustainable green production system under trade-credit and partial backordering. J. Cleaner Prod. 204 (2018) 82–95. | DOI
[52] and , An EOQ model for non-instantaneous deteriorating items with two levels of storage under trade-credit policy. J. Ind. Eng. Int. 14 (2018) 343–365. | DOI
[53] , A deterministic lot-size inventory model for deteriorating items with shortages and a declining market. Comput. Oper. Res. 22 (1995) 345–356. | Zbl | DOI
[54] , and , Optimal credit period and lot size for deteriorating items with a maximum life time dates under two-level trade-credit financing. Eur. J. Oper. Res. 237 (2014) 898–908. | MR | Zbl | DOI
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