In this paper, a novel chance-constrained programming model has been proposed for handling uncertainties in green closed loop supply chain network design. In addition to locating the facilities and establishing a flow between them, the model also determines the transportation mode between facilities. The objective functions are applied to minimize the expected value and variance of the total cost CO2 released is also controlled by providing a novel chance-constraint including a stochastic upper bound of emission capacity. To solve the mathematical model using the General Algebraic Modeling System (GAMS) software, four multi-objective decision-making (MODM) methods were applied. The proposed methodology was subjected to various numerical experiments. The solutions provided by different methods were compared in terms of the expected value of cost, variance of cost, and CPU time using Pareto-based analysis and optimality-based analysis. In Pareto-based analysis, a set of preferable solutions were presented using the Pareto front; then optimality-based optimization was chosen as the best method by using a Simple Additive Weighting (SAW) method. Experimental experiments and sensitivity analysis demonstrated that the performance of the goal attainment method was 13% and 24% better that of global criteria and goal programming methods, respectively.
Keywords: Bi-objective optimization, green closed-loop supply chain network design, chance-constrained programming, Pareto-based analysis, Lp-metrics, multi-objective decision-making
@article{RO_2021__55_2_811_0,
author = {Kalantari Khalil Abad, Amin Reza and Pasandideh, Seyed Hamid Reza},
title = {Green closed-loop supply chain network design: a novel bi-objective chance-constraint approach},
journal = {RAIRO. Operations Research},
pages = {811--840},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {2},
doi = {10.1051/ro/2021035},
mrnumber = {4243965},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021035/}
}
TY - JOUR AU - Kalantari Khalil Abad, Amin Reza AU - Pasandideh, Seyed Hamid Reza TI - Green closed-loop supply chain network design: a novel bi-objective chance-constraint approach JO - RAIRO. Operations Research PY - 2021 SP - 811 EP - 840 VL - 55 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021035/ DO - 10.1051/ro/2021035 LA - en ID - RO_2021__55_2_811_0 ER -
%0 Journal Article %A Kalantari Khalil Abad, Amin Reza %A Pasandideh, Seyed Hamid Reza %T Green closed-loop supply chain network design: a novel bi-objective chance-constraint approach %J RAIRO. Operations Research %D 2021 %P 811-840 %V 55 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021035/ %R 10.1051/ro/2021035 %G en %F RO_2021__55_2_811_0
Kalantari Khalil Abad, Amin Reza; Pasandideh, Seyed Hamid Reza. Green closed-loop supply chain network design: a novel bi-objective chance-constraint approach. RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 811-840. doi: 10.1051/ro/2021035
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