Waste management and reworking are very crucial issues in the cleaner production system. The adaptation of preservation mechanism in inventory control is also a key aspect from an economic and environmental point of view. In the current study, an inventory model for a cleaner production system is modelled considering all these practical issues and inflation. Deterioration process takes place in the production system. In the model, market demand is viewed sales team efforts and selling price dependent. Here, rate of production along with the unit production cost are taken as variables. An investment in preservation technology is made with the goal to lower the percentage of defective products. Further, partial backordering is considered. In order to demonstrate the model, numerical example is provided. A Hessian matrix is used to establish the concavity of the objective function. A theoretical result is provided to obtain the concavity of the objective function. Sensitivity analysis along with managerial implications is also provided in the manuscript. Results indicate that by implementing high-efficiency preservation technology, the detrimental effects of deterioration on profit can be mitigated. Due to this, 1.6% rise in profit is observed. Thus, selection of right preservation technology is crucial for both financial and environmental sustainability. In addition to this, higher reworking rates and capital investment in quality improvement result in high profit for the system.
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2022202
Keywords: Cleaner production system, reworking, partial backlogging, selling price-and-sales dependent demand, preservation technology
@article{RO_2022__56_6_4327_0,
author = {Bhatnagar, Pankaj and Kumar, Satish and Yadav, Dharmendra},
title = {A single-stage cleaner production system with waste management, reworking, preservation technology, and partial backlogging under inflation},
journal = {RAIRO. Operations Research},
pages = {4327--4346},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {6},
doi = {10.1051/ro/2022202},
mrnumber = {4523954},
zbl = {1532.90004},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022202/}
}
TY - JOUR AU - Bhatnagar, Pankaj AU - Kumar, Satish AU - Yadav, Dharmendra TI - A single-stage cleaner production system with waste management, reworking, preservation technology, and partial backlogging under inflation JO - RAIRO. Operations Research PY - 2022 SP - 4327 EP - 4346 VL - 56 IS - 6 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022202/ DO - 10.1051/ro/2022202 LA - en ID - RO_2022__56_6_4327_0 ER -
%0 Journal Article %A Bhatnagar, Pankaj %A Kumar, Satish %A Yadav, Dharmendra %T A single-stage cleaner production system with waste management, reworking, preservation technology, and partial backlogging under inflation %J RAIRO. Operations Research %D 2022 %P 4327-4346 %V 56 %N 6 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022202/ %R 10.1051/ro/2022202 %G en %F RO_2022__56_6_4327_0
Bhatnagar, Pankaj; Kumar, Satish; Yadav, Dharmendra. A single-stage cleaner production system with waste management, reworking, preservation technology, and partial backlogging under inflation. RAIRO. Operations Research, Tome 56 (2022) no. 6, pp. 4327-4346. doi: 10.1051/ro/2022202
[1] , Optimal lot sizing, process quality improvement and setup cost reduction. Oper. Res. 34 (1986) 137–144. | Zbl | DOI
[2] , Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput. Ind. Eng. 57 (2009) 1105–1113. | DOI
[3] and , Imperfect production system under reverse logistics in stock-out situation: EPQ model. Adv. Decis. Sci. (2013). DOI: . | DOI | MR | Zbl
[4] , and , Pricing and lot sizing for an EPQ inventory model with rework and multiple shipments. Top 24 (2016) 143–155. | MR | Zbl | DOI
[5] and , Multi-stage cleaner production process with quality improvement and lead time dependent ordering cost. J. Cleaner Prod. 144 (2017) 572–590. | DOI
[6] and , Sustainable economic production quantity models: an approach toward a cleaner production. J. Adv. Manage. Sci. 6 (2018) 206–212. | DOI
[7] , , and , An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages: a type-2 fuzzy approach. Opsearch 56 (2019) 657–688. | MR | Zbl | DOI
[8] , , 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) 119055. | DOI
[9] , , , and , Cooperative sustainable supply chain for deteriorating item and imperfect production under different carbon emission regulations. J. Cleaner Prod. 272 (2020) 122170. | DOI
[10] , , , , and , An imperfect production model for breakable multi-item with dynamic demand and learning effect on rework over random planning horizon. J. Risk Financial Manage. 14 (2021) 574. | DOI
[11] , and , A sustainable production-inventory model with imperfect quality under preservation technology and quality improvement investment. J. Cleaner Prod. 310 (2021) 127332. | DOI
[12] , and , Effects of variable setup cost, reliability, and production costs under controlled carbon emissions in a reliable production system. Eur. J. Ind. Eng. 16 (2022) 371–397. | DOI
[13] , and , Manufacturing/remanufacturing based supply chain management under advertisements and carbon emission process. RAIRO: Oper. Res. 56 (2022) 831–851. | MR | Zbl | Numdam | DOI
[14] and , A sustainable flexible manufacturing–remanufacturing model with improved service and green investment under variable demand. Expert Syst. App. 202 (2022) 117154. | DOI
[15] , , and , Circular economy-driven two-stage supply chain management for nullifying waste. J. Cleaner Prod. 339 (2022) 130513. | DOI
[16] , and , Environmental and economic sustainability through innovative green products by remanufacturing. J. Cleaner Prod. 332 (2022) 129813. | DOI
[17] , and , An inventory model with variable demand, component cost and selling price for deteriorating items. Econ. Modell. 30 (2013) 306–310. | DOI
[18] , Optimizing a three-rates-of-production inventory model under market selling price and advertising cost with deteriorating items. Int. J. Manag. Sci. Eng. Manage. 13 (2018) 295–305.
[19] , Production inventory model of deteriorating items with holding cost, stock, and selling price with backlog. Int. J. Math. Oper. Res. 14 (2019) 290–305. | MR | Zbl | DOI
[20] , , and , An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment. RAIRO: Oper. Res. 53 (2019) 39–57. | MR | Zbl | Numdam | DOI
[21] , and , Effect of inspection errors on imperfect production inventory model with warranty and price discount dependent demand rate. RAIRO: Oper. Res. 54 (2020) 1189–1213. | MR | Zbl | Numdam | DOI
[22] , and , An EPQ model with stock and selling price dependent demand and variable production rate in interval environment. Int. J. Syst. Assur. Eng. Manage. 11 (2020) 385–399. | DOI
[23] , and , Sustainable inventory policy for an imperfect production system with energy usage and volume agility. Int. J. Syst. Assur. Eng. Manage. 12 (2021) 44–52. | DOI
[24] , , , , , and , Selling price, time dependent demand and variable holding cost inventory model with two storage facilities. Mater. Today Proc. 56 (2022) 245–251. | DOI
[25] , , and , The effect of rebate value and selling price-dependent demand for a four-level production manufacturing system. J. Ind. Manage. Optim. 19 (2022) 1367–1394. | MR | Zbl | DOI
[26] , , , and , Optimal inventory strategies for an imperfect production system with advertisement and price reliant demand under rework option for defectives. RAIRO: Oper. Res. 56 (2022) 183–197. | MR | Zbl | Numdam | DOI
[27] , and , Preservation technology investment for deteriorating inventory. Int. J. Prod. Econ. 124 (2010) 388–394. | DOI
[28] , The effect of preservation technology investment on a non-instantaneous deteriorating inventory model. Omega 41 (2013) 872–880. | DOI
[29] and , 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
[30] , and , Optimal pricing policy for deteriorating items with preservation technology investment. J. Ind. Manage. Optim. 10 (2014) 1261. | MR | Zbl | DOI
[31] , and , An integrated production inventory model for perishable products with trade credit period and investment in preservation technology. Int. J. Math. Oper. Res. 8 (2016) 137–163. | MR | Zbl | DOI
[32] , , , and , An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment. Ann. Oper. Res. 254 (2017) 165–190. | MR | Zbl | DOI
[33] , and , Optimal replenishment policy for non-instantaneously perishable items with preservation technology and random deterioration start time. Int. J. Manage. Sci. Eng. Manage. 13 (2018) 188–199.
[34] , and , A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax. Sustainability 11 (2019) 5027. | DOI
[35] , and , Effects of preservation technology investment on waste generation in a two-echelon supply chain model. Mathematics 7 (2019) 189. | DOI
[36] and , Application of preservation technology for lifetime dependent products in an integrated production system. J. Ind. Manage. Optim. 16 (2020) 141. | MR | Zbl | DOI
[37] , , and , Benefit of preservation technology with promotion and time-dependent deterioration under fuzzy learning. Expert Syst. App. 201 (2022) 117169. | DOI
[38] , Economic order quantities with inflation. J. Oper. Res. Soc. 26 (1975) 553–558. | DOI
[39] and , An EOQ model with fuzzy inflation rate and fuzzy deterioration rate when a delay in payment is permissible. Int. J. Syst. Sci. 37 (2006) 323–335. | Zbl | DOI
[40] , and , Joint dynamic pricing and inventory control for perishable products taking into account partial backlogging and inflation. Int. J. Appl. Comput. Math. 5 (2019) 1–28. | MR | Zbl | DOI
[41] and , An inventory model for deteriorating items with time and price dependent demand and shortages under the effect of inflation. Int. J. Math. Oper. Res. 14 (2019) 377–388. | MR | Zbl | DOI
[42] , , and , Inventory and pricing decisions for imperfect quality items with inspection errors, sales returns, and partial backorders under inflation. RAIRO: Oper. Res. 54 (2020) 287–306. | MR | Zbl | Numdam | DOI
[43] , , and , An economic production quantity (EPQ) model for a deteriorating item with partial trade credit policy for price dependent demand under inflation and reliability. Yugoslav J. Oper. Res. 31 (2020) 139–151. | MR
[44] and , Inflation and time value of money in a vendor–buyer inventory system with transportation cost and ordering cost reduction. J. Control Decis. 8 (2021) 98–105. | MR | DOI
[45] , , and , An EOQ model with carbon emissions and inflation for deteriorating imperfect quality items under learning effect. Sustainability 14 (2022) 1365. | DOI
[46] , and , Application of the artificial neural network with multithreading within an inventory model under uncertainty and inflation. Int. J. Fuzzy Syst. 24 (2022) 2318–2332. | DOI
[47] , Deteriorating inventory model with quantity discount, pricing and partial backordering. Int. J. Prod. Econ. 59 (1999) 511–518. | DOI
[48] , A partial backordering approach to inventory control. Prod. Planning Control 12 (2001) 660–668. | DOI
[49] , A constrained integrated imperfect manufacturing-inventory system with preventive maintenance and partial backordering. Ann. Oper. Res. 261 (2018) 303–337. | MR | Zbl | DOI
[50] and , Price-sensitive imperfect production inventory model with exponential partial backlogging. Int. J. Syst. Sci. Oper. Logistics 6 (2019) 27–41.
[51] , , and , Production-inventory system for deteriorating items with machine breakdown, inspection, and partial backordering. Mathematics 7 (2019) 616. | DOI
[52] and , A production inventory supply chain model with partial backordering and disruption under triangular linguistic dense fuzzy lock set approach. Soft Comput. 24 (2020) 5053–5069. | Zbl | DOI
[53] , and , Sustainable production and waste management policies for COVID-19 medical equipment under uncertainty: a case study analysis. Comput. Ind. Eng. 157 (2021) 107381. | DOI
[54] , A deterministic economic production quantity model with partial backordering and outsourcing repair of non-conforming products. Int. J. Syst. Sci. Oper. Logistics 9 (2022) 1–29.
[55] , , , , and , An inventory model for non-instantaneously deteriorating items with nonlinear stock-dependent demand, hybrid payment scheme and partially backlogged shortages. Mathematics 10 (2022) 434. | DOI
[56] , , and , Intelligent servicing strategy for an online-to-offline (O2O) supply chain under demand variability and controllable lead time. RAIRO: Oper. Res. 56 (2022) 1623–1653. | MR | Zbl | Numdam | DOI
[57] , , and , An EPQ model with promotional demand in random planning horizon: population varying genetic algorithm approach. J. Intell. Manuf. 29 (2018) 1515–1531. | DOI
[58] , , and , Synergic effect of reworking for imperfect quality items with the integration of multi-period delay-in-payment and partial backordering in global supply chains. Engineering 7 (2021) 260–271. | DOI
[59] , Optimal production run time for an imperfect production inventory system with rework, random breakdowns and inspection costs. Oper. Res. 21 (2021) 167–204.
[60] , , and , Reduction of waste and carbon emission through the selection of items with cross-price elasticity of demand to form a sustainable supply chain with preservation technology. J. Cleaner Prod. 297 (2021) 126298. | DOI
[61] , and , Controlling GHG emission from industrial waste perusal of production inventory model with fuzzy pollution parameters. Int. J. Syst. Sci. Oper. Logistics 6 (2019) 368–393.
[62] and , Generalized convexity and optimization: theory and applications. Vol. 616. Springer Science & Business Media (2008). | MR
[63] , and , Multi-item sustainable manufacturing model for cleaner production system under imprecise demand and random defective rate. Int. J. Procurement Manage. (2022). DOI: . | DOI
[64] , and , Two level production inventory model with exponential demand and time dependent deterioration rate. Malaya J. Mat. (MJM) 1 (2018) 30–34. | DOI
[65] , , and , Impact of energy and carbon emission of a supply chain management with two-level trade-credit policy. Energies 14 (2021) 1569. | DOI
Cité par Sources :





