Reliable design of a forward/reverse logistics network under uncertainty: A robust-M/M/c queuing model

Vahdani, Behnam; Tavakkoli–Moghaddam, Reza; Modarres, Mohammad; Baboli, Armand

doi:10.1016/j.tre.2012.06.002

Cited by 137 publications

(44 citation statements)

References 45 publications

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“…This type of uncertainty is handled using fuzzy set theory which was developed by Zadeh (1965). Vahdani et al (2012) defined a novel approach for designing a reliable network of production in closed loop supply chain under uncertainty. For this purpose, a centralized mathematical programming formulation was developed which minimized the total transport costs of a logistics network.…”

Section: Literature Of Past Workmentioning

confidence: 99%

“…The relevant research works in this area have been reviewed through the last decade and summarized in Table1. As can be seen in Table 1, the previous researches considered demand-side uncertainty (Hegeman et al, 2014;Arikan, 2013;Vahdani et al, 2012;Lu et al, 2012;Pishvae et al, 2011;Peidro et al, 2009;Xu et al, 2008;Selma et al, 2007;Shu et al, 2005). Moreover, it can be deduced that a large number of centralized mathematical programming models have been developed to simultaneously optimize the integration of the entire SC.…”

Section: Literature Of Past Workmentioning

confidence: 99%

See 1 more Smart Citation

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Khalili‐Damghani¹,

Ghasemi²

2016

Industrial Engineering and Management Systems

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Complex and uncertain issues in supply chain result in integrated decision making processes in supply chains. So decentralized (distributed) decision making (DDM) approach is considered as a crucial stage in supply chain planning. In this paper, an uncertain DDM through coordination mechanism is addressed for a multi-product supply chain planning problem. The main concern of this study is comparison of DDM approach with centralized decision making (CDM) approach while some parameters of decision making are assumed to be uncertain. The uncertain DDM problem is modeled through fuzzy mathematical programming in which products' demands are assumed to be uncertain and modeled using fuzzy sets. Moreover, a CDM approach is customized and developed in presence of fuzzy parameters. Both approaches are solved using three fuzzy mathematical optimization methods. Hence, the contribution of this paper can be summarized as follows: 1) proposing a DDM approach for a multi-product supply chain planning problem; 2) Introducing a coordination mechanism in the proposed DDM approach in order to utilize the benefits of a CDM approach while using DDM approach; 3) Modeling the aforementioned problem through fuzzy mathematical programming; 4) Comparing the performance of proposed DDM and a customized uncertain CDM approach on multiproduct supply chain planning; 5) Applying three fuzzy mathematical optimization methods in order to address and compare the performance of both DDM and CDM approaches. The results of these fuzzy optimization methods are compared. Computational results illustrate that the proposed DDM approach closely approximates the optimal solutions generated by the CDM approach while the manufacturer's and retailers' decisions are optimized through a coordination mechanism making lasting relationship. .

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Section: Literature Of Past Workmentioning

confidence: 99%

Section: Literature Of Past Workmentioning

confidence: 99%

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Khalili‐Damghani¹,

Ghasemi²

2016

Industrial Engineering and Management Systems

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“…Then they developed a min-max robust optimization model to address the uncertainties like number of product returns, percent of faulty products and warranty fraction of modules. Vahdani et al [25] presented a reliable design of a forward-reverse logistics network under uncertainty. They developed a bi-objective mathematical programming formulation that reduces the total costs and the expected transportation costs after failures of facilities of a logistic network.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Constraint (24) makes sure that the sum of the outflows from each first customer as EOL directly to the CDRs is less than or equal to its return fraction of the sum of the EOL returns. Constraint (25) makes sure that the sum of the EOL returns inflows to each CDR from first customer via retailer and directly is equal to the sum of the flow of CDR fractions exiting from each CDR to all the land fillers, recyclers, resellers and remanufacturers. Constraint (26) makes sure that the sum of the inflows to all the remanufacturers from each CDR is less than or equal to the sum of the outflows from the remanufacturers to resellers.…”

Section: Objective Functionmentioning

confidence: 99%

An Integrated Multi-Echelon Model for a Sustainable Closed Loop Supply Chain Network Design

Aravendan¹,

Panneerselvam²

2014

IIM

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The integration of entire supply and value chain into a closed loop network is gaining more importance in recent times in order to ensure a business to be economically and environmentally sustainable with the changing trends in business and social environments, growing environmental consciousness in the society and government legislations to protect the environment as well as the business. In this context, this paper considers a multi-echelon closed loop supply chain network design with forward and reverse logistics components. An attempt has been made to develop a mixed integer non-linear programming model for this problem with different costs so that the sum of the total cost is minimized subject to different constraints pertaining to capacities of the entities of the system, demands of first customers and second customers. A generalized model is presented and then its application is illustrated using an example problem by solving the model using LINGO14. This model forms as a tool to compare future meta-heuristics to check the closeness of their solutions with corresponding optimal solutions.

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“…In this line of research, Vahdani et al [39][40][41] propose various models for reliable design of a closed-loop logistics network in an iron and steel industry. Various solution approaches are proposed to solve the concerned problem.…”

Section: Introductionmentioning

confidence: 99%

Integrated Forward-reverse Logistics Network Design under Uncertainty and Reliability Consideration

et al. 2016

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Abstract. This paper proposes a robust optimization model for robust and reliable design of an integrated forward-reverse logistics network with hybrid facilities under uncertainty and random facility disruptions. The proposed model utilizes several e ective reliability strategies to mitigate the impact of random facility disruptions. First, the proposed model allows two types of hybrid facilities, namely, reliable and unreliable, to be located in the concerned logistics network where unreliable ones may be partially or fully disrupted, and thus a percentage of their capacities may be lost. However, they can still serve their customers with the remaining of their available capacities. Furthermore, a sharing strategy is taken into account, in which goods can be shipped from reliable hybrid facilities to unreliable ones to compensate their lost capacity. A robust optimization approach is applied on the developed model to handle the uncertainties in the parameters of the concerned network. Finally, several numerical experiments along with a sensitivity analysis are conducted to illustrate the signi cance and applicability of the proposed model as well as the e ectiveness of the robust optimization approach in this context.

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Reliable design of a forward/reverse logistics network under uncertainty: A robust-M/M/c queuing model

Cited by 137 publications

References 45 publications

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

An Integrated Multi-Echelon Model for a Sustainable Closed Loop Supply Chain Network Design

Integrated Forward-reverse Logistics Network Design under Uncertainty and Reliability Consideration

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