2015
DOI: 10.3926/jiem.1562
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Bi-objective optimization for multi-modal transportation routing planning problem based on Pareto optimality

Abstract: Abstract:Purpose: The purpose of study is to solve the multi-modal transportation routing planning problem that aims to select an optimal route to move a consignment of goods from its origin to its destination through the multi-modal transportation network. And the optimization is from two viewpoints including cost and time.Design/methodology/approach: In this study, a bi-objective mixed integer linear programming model is proposed to optimize the multi-modal transportation routing planning problem. Minimizing… Show more

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Cited by 31 publications
(56 citation statements)
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References 16 publications
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“…The others rows are considered as restrictive conditions of the linear model, (formulas from 2 to 11). The liner model for the first criterion is as follow: x + x + x + x + x (2) 0.00 ≥ 0.50 0.50 2 1 x + x (3) x + x + x + x + x (6) 0.00 ≥ 0.50 0.50 2 1 x + x (7) 0.20 ≤ 0.20 0.20 0.20 0.20 0.20 (8) 0.50 ≤ 0.50 0.50 2 1 x + x (9) 0.50 ≤ 0.50 0.50 2 1 x + x (10) 0.50 ≤ 0.50 0.50 2 1 x + x (11) where x j -score of each alternative; j = 1,…,m -number of variants.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The others rows are considered as restrictive conditions of the linear model, (formulas from 2 to 11). The liner model for the first criterion is as follow: x + x + x + x + x (2) 0.00 ≥ 0.50 0.50 2 1 x + x (3) x + x + x + x + x (6) 0.00 ≥ 0.50 0.50 2 1 x + x (7) 0.20 ≤ 0.20 0.20 0.20 0.20 0.20 (8) 0.50 ≤ 0.50 0.50 2 1 x + x (9) 0.50 ≤ 0.50 0.50 2 1 x + x (10) 0.50 ≤ 0.50 0.50 2 1 x + x (11) where x j -score of each alternative; j = 1,…,m -number of variants.…”
Section: Resultsmentioning
confidence: 99%
“…18.N284 into account carbon emissions and intermodal transfers. The problem of multi-modal transportation routing planning is investigated in [8]. A model based on bi-objective mixed integer linear programming with objective minimization of the total transportation cost and the total transportation time has been elaborated.…”
Section: Introductionmentioning
confidence: 99%
“…First, for large sized stochastic mixed integer programming, some advanced solution methods, i.e., meta-heuristic [51,52], should be developed and applied to the design of a reverse logistics system for WEEE in order to improve the computational efficiency and effectiveness. Second, the model may be further developed into a multi-objective programming model in order to take into account more comprehensive considerations in the design of the reverse logistics system for WEEE, i.e., risk [53][54][55][56][57], saving of resources [42], etc. Third, the model is developed primarily for addressing the general characteristics of the reverse logistics system for WEEE from a strategic perspective; however, some specific technologies are used in the sorting and recycling processes of WEEE, so future research may focus on the economic efficiency and environmental impacts of those specific technologies for the processing and treatment of WEEE.…”
Section: Discussionmentioning
confidence: 99%
“…We consider a general triangular fuzzy number r a "`a L , a M , a U˘w here a L >a M >a U >0, let µ r a pxq denote its membership function whose expression is as Equation (20).…”
Section: Crisp Equivalent Of the Fuzzy Chance Constraint Setsmentioning
confidence: 99%