2012
DOI: 10.1007/s00170-012-4318-6
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A fuzzy possibilistic bi-objective hub covering problem considering production facilities, time horizons and transporter vehicles

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Cited by 22 publications
(17 citation statements)
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“…Constraints (17) and (18) guarantee that delivery of extra products to the located distribution centers is not allowed. Constraints (19) and (20) ensure that delivery of extra products to each customer is not allowed. Constraints (21) and (22) guarantee that all the ordered products and customers' demands must be satis ed during the horizon planning.…”
Section: The Proposed Modelmentioning
confidence: 99%
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“…Constraints (17) and (18) guarantee that delivery of extra products to the located distribution centers is not allowed. Constraints (19) and (20) ensure that delivery of extra products to each customer is not allowed. Constraints (21) and (22) guarantee that all the ordered products and customers' demands must be satis ed during the horizon planning.…”
Section: The Proposed Modelmentioning
confidence: 99%
“…In this respect, Ghodratnama et al [19] presented a fuzzy possibilistic bi-objective mathematical programming model with the aim of minimizing the total costs. Mohammadi et al [20] developed a new multiobjective multi-mode transportation model in order to minimize current investment costs and maximum transportation time based on stochastic parameters.…”
Section: Introductionmentioning
confidence: 99%
“…In a recent study, Fazel Zarandi et al [11] proposed a Q-coverage multipleallocation hub set-covering problem and required the distances between hubs to be greater than a lower bound. Ghodratnama et al [12] presented a fuzzy biobjective model for a hub covering location problem in which the rst objective function aimed at minimizing network costs and the second objective function was concerned with minimizing the shipping time of products, considering di erent transportation vehicles and time periods. Korani and Sahraeian [13] developed a single-allocation hierarchical hub covering model in which all origin destination pairs were required to have a travel time lower than a determined value.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Constraints (7) and (8) require the numbers of primary and back-up hubs to be respectively equal to P and Q. Constraint (9) ensures the primary and back-up hubs not to be located in the same nodes. Constraint (10) represents that between any O-D pair (i; j), there is just one primary route through primary hubs k and m. In the same way, Constraint (11) shows that between any O-D pair (i; j), there is just one back-up route through back-up hub n. Constraints (12) and (13) ensure that non-hub nodes are not connected directly in the network and prohibit the ow between origin i to destination j from being routed through non-hub nodes. Constraint (14) is like constraints (12) and (13), with exception that this constraint concerns backup hubs and back-up routes instead of primary ones.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Their model aimed to determine the optimal location of the hub facilities among some candidate sites so that the total transportation cost is minimized. Ghodratnama et al (2013) proposed a fuzzy possibilistic bi-objective nonlinear mixed-integer programming formulation for the hub-covering problem. They considered the major parameters of their mathematical formulation to be fuzzy in order to model the uncertainties involved.…”
Section: Introduction and Literature Reviewmentioning
confidence: 99%