Conservation of natural resources in order to protect the environment, support the economy, and offer a better life to living beings has become an urgent need of modern business so that future generations can survive within available resources and in a healthy environment. Recycling of used products plays an important role in the conservation of natural resources and the development of sustainable business for deteriorating products because the number of these items increases with time, which creates economic loss and environmental pollution. This paper considers the production and cycle time as decision variables to design a forward and reverse supply chain system that produces two different types of products, which are subject to deterioration. Rate of deterioration is time-varying and depends on the maximum lifetime of products. Used products of a forward supply chain are collected and treated as raw materials in a reverse supply chain to produce other products. The system involves three types of inventory stocks, i.e., product 1, 2, and returned inventory. The objective of this research is to minimize total cost per unit time for two types of systems, one in which products of both the supply chains deteriorate and the second in which the products of the first supply chain deteriorate. Kuhn−Tucker method is employed to solve the model and a solution algorithm is proposed to obtain optimal solution. Application of the model is supported with numerical examples and sensitivity analysis. Some managerial insights are provided to help managers while applying the proposed models in real situations. Results of numerical experiments suggest for deteriorating products to plan short replenishment cycles of inventory.
Mots-clés : Supply chain management, time-varying deterioration, reused products, maximum lifetime, demand dependent production rate, Non-linear programming
@article{RO_2019__53_1_129_0,
author = {Iqbal, Muhammad Waqas and Sarkar, Biswajit},
title = {Recycling of lifetime dependent deteriorated products through different supply chains},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {129--156},
publisher = {EDP-Sciences},
volume = {53},
number = {1},
year = {2019},
doi = {10.1051/ro/2017051},
mrnumber = {3904270},
zbl = {1414.90043},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017051/}
}
TY - JOUR AU - Iqbal, Muhammad Waqas AU - Sarkar, Biswajit TI - Recycling of lifetime dependent deteriorated products through different supply chains JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 129 EP - 156 VL - 53 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017051/ DO - 10.1051/ro/2017051 LA - en ID - RO_2019__53_1_129_0 ER -
%0 Journal Article %A Iqbal, Muhammad Waqas %A Sarkar, Biswajit %T Recycling of lifetime dependent deteriorated products through different supply chains %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 129-156 %V 53 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017051/ %R 10.1051/ro/2017051 %G en %F RO_2019__53_1_129_0
Iqbal, Muhammad Waqas; Sarkar, Biswajit. Recycling of lifetime dependent deteriorated products through different supply chains. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 1, pp. 129-156. doi : 10.1051/ro/2017051. http://www.numdam.org/articles/10.1051/ro/2017051/
[1] , Theory and methodology on the global optimal solution to a General Reverse Logistics Inventory Model for deteriorating items and time-varying rates. Comput. Ind. Engg. 60 (2011) 236–247 | DOI
[2] , and , Official recycling and scavengers: Symbiotic or conflicting? Eur. J. Oper. Res. 218 (2012) 563–576 | DOI | Zbl
[3] , and , Logistics planning shifts into reverse. J. Eur. Business 5 (1993) 34
[4] , and , Enablers and barriers of sustainable manufacturing: results from a survey of researchers and industry professionals. Proc. CIRP 29 (2015) 562–567 | DOI
[5] and , Production planning in a three-stock reverse-logistics system with deteriorating items under a continuous review policy. J. Ind. Manag. Optimi. 11 (2015) 1041–1058 | DOI | MR | Zbl
[6] and , Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system. Int. J. Prod. Econ. 129 (2011) 195–203 | DOI
[7] and , An EOQ model for deteriorating items with time varying demand and partial backlogging. J. Oper. Res. Soc. 50 (1999) 1176–1182 | DOI | Zbl
[8] , and , An EOQ model for items with Weibull distribution deterioration, shortages and trended demand: an extension of Philip’s model. Comput. Oper. Res. 25 (1998) 649–657 | DOI | Zbl
[9] and , Retailer’s optimal ordering policy for deteriorating items with maximum lifetime under supplier’s trade credit financing. Appl. Math. Modell. 38 (2014) 4049–4061 | DOI | MR | Zbl
[10] , Moving towards green and sustainable manufacturing. Int. J. Prec. Engg. Manuf.-Green Tech. 1 (2014) 63–66 | DOI
[11] , and , Designing a sustainable closed-loop supply chain network based on triple bottom line approach: A comparison of metaheuristics hybridization techniques. Eur. J. Oper. Res. 235 (2014) 594–615 | DOI | MR | Zbl
[12] , The effect of preservation technology investment on a non-instantaneous deteriorating inventory model. Omega 41 (2013) 872–880 | DOI
[13] , , , , and , Quantitative models for reverse logistics: a review. Eur. J. Oper. Res. 103 (1997) 1–17 | DOI | Zbl
[14] and , A reverse logistic inventory model for imperfect production process with preservation technology investment under learning and inflationary environment. Uncertain SCM 4 (2016) 107–122
[15] , and , Model predictive production planning in a three-stock reverse-logistics system with deteriorating items. Int. J. Sys. Sci.: Oper. Log. 2 (2015) 187–198
[16] , and , Supply chain model with stock dependent demand, quadratic rate of deterioration with allowable shortage. Int. J. Math. Oper. Res. 7 (2015) 156–177 | DOI | MR | Zbl
[17] and , A model for exponentially decaying inventory. J. Ind. Engg. 14 (1963) 238–243
[18] , , , and , Global food losses and food waste. Food and Agriculture Organization of the United Nations, Rom (2011)
[19] and , Optimizing a closed-loop supply chain with manufacturing defects and quality dependent return rate. J. Manuf. Sys. 35 (2015) 92–111 | DOI
[20] , , and , A multi-criteria optimization approach to manage environmental issues in closed loop supply chain network design. J. Cleaner Prod. 100 (2015) 297–314 | DOI
[21] , and , A closed-loop supply chain for deteriorating products under stochastic container return times. Omega 43 (2014) 30–40
[22] , , and , Value flow characterization during product lifecycle to assist in recovery decisions. Int. J. Prod. Res. 45 (2007) 4555–4572 | DOI | Zbl
[23] , , and , Towards supply chain sustainability: economic, environmental and social design and planning. J. Cleaner Prod. 105 (2015) 14–27 | DOI
[24] and , Sustainable supply chain network design: A multicriteria perspective. Int. J. Sustainable Engg. 3 (2010) 189–197 | DOI
[25] and , A stochastic production inventory model for deteriorating items with products’ finite life-cycle. RAIRO: OR 51 (2017) 669–684 | DOI | Numdam | MR | Zbl
[26] , , and , Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate. Eur. J. Oper. Res. 192 (2009) 79–92 | DOI | MR | Zbl
[27] , and , A two-warehouse inventory model with increasing demand and time varying deterioration. Sci. Iran. 19 (2012) 1969–1977 | DOI
[28] , A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Appl. Math. Modell. 37 (2013) 3138–3151 | DOI | MR | Zbl
[29] , and , An inventory model with finite replenishment rate, trade credit policy and price-discount offer. J. Ind. Engg. 2013 (2013) Article ID 672504, 18
[30] , and , An EMQ model with price and time dependent demand under the effect of reliability and inflation. Appl. Math. Comput. 231 (2014) 414–421 | MR | Zbl
[31] and , Product inspection policy for an imperfect production system with inspection errors and warranty cost. Eur. J. Oper. Res. 248 (2016) 263–271 | DOI | Zbl
[32] , An EOQ model with delay in payments and time varying deterioration rate. Math. Comput. Modell. 55 (2012) 367–377 | DOI | MR | Zbl
[33] and , An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Econ. Modell. 30 (2013) 924–932 | DOI
[34] and , An economic manufacturing quantity model with probabilistic deterioration in a production system. Econ. Modell. 31 (2013) 245–252 | DOI
[35] , On (T, S i) policy inventory model for deteriorating items with time proportional demand. J. Oper. Res. society 35 (1984) 1013–1019 | Zbl
[36] , , and , Industrial waste recycling strategies optimization problem: mixed integer programming model and heuristics. Engg. Optim. 40 (2008) 1085–1100 | DOI | MR
[37] and , A closed-loop logistic model with a spanning-tree based genetic algorithm. Comput. Oper. Res. 37 (2010) 376–389 | DOI | Zbl
[38] , and , A multi-objective optimization for green supply chain network design. Dec. Supp. Sys. 51 (2011) 262–269 | DOI
[39] , and , Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime. Eur. J. Oper. Res. 232 (2014) 315–321 | DOI | MR | Zbl
[40] , and , An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann. Oper. Res. 229 (2015) 677–702 | DOI | MR | Zbl
[41] , , and , Flexible setup cost and deterioration of products in a supply chain model. Int. J. Appl. Comput. Math. 2 (2015) 1–16 | MR
[42] and , Inventory policy for deteriorating seasonal products with price and ramp-type time dependent demand. RAIRO: OR 49 (2015) 865–878 | DOI | Numdam | MR | Zbl
[43] and , Partial trade-credit policy of retailer with exponentially deteriorating items. Int. J. Appl. Comput. Math. 1 (2015) 343–368 | DOI | MR | Zbl
[44] , and , Optimal pricing and ordering policies for non instantaneous deteriorating items with price dependent demand and maximum lifetime, in Proc. of the 6th Inter. Asia Confer. Industrial Eng. Manag. Innovation, Springer (2016) 411–421
[45] , Supply chain coordination with variable backorder, inspections, and discount policy for fixed lifetime products. Math. Prob. in Engg. 2016 (2016) 6318737, 14 | MR | Zbl
[46] , , and , Controllable lead time, service level constraint, and transportation discounts in a continuous review inventory model. RAIRO: OR 50 (2016) 921–934 | DOI | Numdam | MR | Zbl
[47] , and , Optimal reliability, production lotsize and safety stock: an economic manufacturing quantity model. Int. J. Manag. Sci. and Engg. Manag. 5 (2010) 192–202
[48] and , Reverse logistic model for deteriorating items with non-instantaneous deterioration and learning effect. Info. Sys. Des. Intell. Appl. Springer (2015) 435–445
[49] , Environmental efficiency analysis based on relational two-stage DEA model. RAIRO: OR 50 (2016) 965–977 | DOI | Numdam | MR | Zbl
[50] and , Competitive analysis of collection behavior between retailer and third-party in the reverse channel. RAIRO: OR 50 (2016) 175–188 | DOI | Numdam | MR | Zbl
[51] , , and , Sequential and global optimization for a closed-loop deteriorating inventory supply chain. Math. Comput. Modell. 52 (2010) 161–176 | DOI | MR | Zbl
[52] , , , and , Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand. Int. J. Prod. Econ. 143 (2013) 557–566 | DOI
Cité par Sources :
