Two parameter tuned multi-objective evolutionary algorithms for a bi-objective vendor managed inventory model with trapezoidal fuzzy demand
Inventory levels in the supply chain with two retailers. •We present a bi-objective inventory model for a supply chain problem.•We consider trapezoidal fuzzy demand and two constraints in the modeling.•We employ MOEA to optimize a bi-objective integer nonlinear programming problem.•The parameters of...
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| Vydáno v: | Applied soft computing Ročník 30; s. 567 - 576 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.05.2015
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| ISSN: | 1568-4946, 1872-9681 |
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| Abstract | Inventory levels in the supply chain with two retailers.
•We present a bi-objective inventory model for a supply chain problem.•We consider trapezoidal fuzzy demand and two constraints in the modeling.•We employ MOEA to optimize a bi-objective integer nonlinear programming problem.•The parameters of metaheuristics are tuned by the Taguchi method.
This paper presents a bi-objective vendor managed inventory (BOVMI) model for a supply chain problem with a single vendor and multiple retailers, in which the demand is fuzzy and the vendor manages the retailers’ inventory in a central warehouse. The vendor confronts two constraints: number of orders and available budget. In this model, the fuzzy demand is formulated using trapezoidal fuzzy number (TrFN) where the centroid defuzzification method is employed to defuzzify fuzzy output functions. Minimizing both the total inventory cost and the warehouse space are the two objectives of the model. Since the proposed model is formulated into a bi-objective integer nonlinear programming (INLP) problem, the multi-objective evolutionary algorithm (MOEA) of non-dominated sorting genetic algorithm-II (NSGA-II) is developed to find Pareto front solutions. Besides, since there is no benchmark available in the literature to validate the solutions obtained, another MOEA, namely the non-dominated ranking genetic algorithms (NRGA), is developed to solve the problem as well. To improve the performances of both algorithms, their parameters are calibrated using the Taguchi method. Finally, conclusions are made and future research works are recommended. |
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| AbstractList | Inventory levels in the supply chain with two retailers.
•We present a bi-objective inventory model for a supply chain problem.•We consider trapezoidal fuzzy demand and two constraints in the modeling.•We employ MOEA to optimize a bi-objective integer nonlinear programming problem.•The parameters of metaheuristics are tuned by the Taguchi method.
This paper presents a bi-objective vendor managed inventory (BOVMI) model for a supply chain problem with a single vendor and multiple retailers, in which the demand is fuzzy and the vendor manages the retailers’ inventory in a central warehouse. The vendor confronts two constraints: number of orders and available budget. In this model, the fuzzy demand is formulated using trapezoidal fuzzy number (TrFN) where the centroid defuzzification method is employed to defuzzify fuzzy output functions. Minimizing both the total inventory cost and the warehouse space are the two objectives of the model. Since the proposed model is formulated into a bi-objective integer nonlinear programming (INLP) problem, the multi-objective evolutionary algorithm (MOEA) of non-dominated sorting genetic algorithm-II (NSGA-II) is developed to find Pareto front solutions. Besides, since there is no benchmark available in the literature to validate the solutions obtained, another MOEA, namely the non-dominated ranking genetic algorithms (NRGA), is developed to solve the problem as well. To improve the performances of both algorithms, their parameters are calibrated using the Taguchi method. Finally, conclusions are made and future research works are recommended. |
| Author | Sadeghi, Javad Niaki, Seyed Taghi Akhavan |
| Author_xml | – sequence: 1 givenname: Javad surname: Sadeghi fullname: Sadeghi, Javad email: Sadeqi@qiau.ac.ir, Keeyarash@gmail.com organization: Young Researchers and Elite Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran – sequence: 2 givenname: Seyed Taghi Akhavan surname: Niaki fullname: Niaki, Seyed Taghi Akhavan email: Niaki@Sharif.edu organization: Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran |
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| Keywords | NSGA-II NRGA Vendor managed inventory Parameter tuning Trapezoidal fuzzy demand Taguchi method |
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| Snippet | Inventory levels in the supply chain with two retailers.
•We present a bi-objective inventory model for a supply chain problem.•We consider trapezoidal fuzzy... |
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| SubjectTerms | NRGA NSGA-II Parameter tuning Taguchi method Trapezoidal fuzzy demand Vendor managed inventory |
| Title | Two parameter tuned multi-objective evolutionary algorithms for a bi-objective vendor managed inventory model with trapezoidal fuzzy demand |
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