Multiobjective transportation network design and routing problems: Taxonomy and annotation

Current, John R.; Marsh, Michael T.

doi:10.1016/0377-2217(93)90140-i

Cited by 121 publications

(46 citation statements)

References 60 publications

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“…In [5], Current and Marsh stated that methods for solving a vector minimum cost flow problem are classified as either being generating techniques or preference base techniques. Generating techniques are those which generate an exact representation or an approximation of the noninferior solution set.…”

Section: Introductionmentioning

confidence: 99%

A remark on a standard and linear vector network equilibrium problem with capacity constraints

Teo

Yang

2008

European Journal of Operational Research

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In this paper, (weak) vector equilibrium principle with capacity constraints is introduced. A necessary condition that a vector minimum cost flow is a vector equilibrium flow with capacity constraints is obtained. When the number of paths connecting with each pair of source and sink is less than or equal to 2, a sufficient condition for a vector minimum cost flow to be a vector equilibrium flow is also obtained. A generalized (weak) vector equilibrium principle is also introduced. Without any additional assumption, a necessary and sufficient condition for a (weak) vector minimum cost flow to be a generalized (weak) vector equilibrium flow is obtained.

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Section: Introductionmentioning

confidence: 99%

A remark on a standard and linear vector network equilibrium problem with capacity constraints

Teo

Yang

2008

European Journal of Operational Research

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“…One idea was to consider a transportation model with multiple objectives, a problem that has been discussed relatively intensively in the literature from the point of view of network design (see the reviews Current and Min (1986) and Current and Min (1993)) and the actual organization of transports. Literature, however, focuses mainly on the linear transportation problem (e.g.…”

Section: A General Cost Modelmentioning

confidence: 99%

Bicriteria cost versus service analysis of a distribution network—a case study

Ehrgott

Rau

1999

J. Multi-Crit. Decis. Anal.

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In order to improve the distribution system for the Nordic countries the BASF AG considered 13 alternative scenarios to the existing system. These involved the construction of warehouses at various locations. For every scenario the transportation, storage, and handling cost incurred was to be as low as possible, where restrictions on the delivery time were given. The scenarios were evaluated according to (minimal) total cost and weighted average delivery time. The results led to a restriction to only three cases involving only one new warehouse each. For these, a more accurate model for the cost was developed and evaluated, yielding results similar to a simple linear model. Since there were no clear preferences between cost and delivery time, the final decision was chosen to represent a compromise between the two criteria.

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“…However, in most real world cases transportation problems can be formulated as multi-objective problems [2,3]. In certain situations two objectives are relevant in transportation problems.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Programming Technique to Solve Bi-Objective Transportation Problem

SG¹,

VH²,

RM³

2010

Int J Mach Intell

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Abstract-In a transportation problem generally a single criterion of minimizing the total transportation cost is considered but in certain practical situations two or more objectives are relevant. For example, the objectives may be minimization of total cost, consumption of certain scarce resources such as energy, total deterioration of goods during transportation etc. Clearly, this problem can be solved using any of the multiobjective linear programming techniques, but the computational efforts needed would be prohibitive in many cases. In this paper, The Bi-objective transportation problem, where only objectives are considered as fuzzy. We apply the fuzzy programming technique with hyperbolic membership function to solve a biobjective transportation problem as vector minimum problem.

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Multiobjective transportation network design and routing problems: Taxonomy and annotation

Cited by 121 publications

References 60 publications

A remark on a standard and linear vector network equilibrium problem with capacity constraints

A remark on a standard and linear vector network equilibrium problem with capacity constraints

Bicriteria cost versus service analysis of a distribution network—a case study

Fuzzy Programming Technique to Solve Bi-Objective Transportation Problem

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