Solving Fuzzy Transportation Problems using a New Algorithm

Khalaf, Wakas S.

doi:10.3923/jas.2014.252.258

Cited by 10 publications

(2 citation statements)

References 11 publications

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“…Zangiabadi and Maleki [13] applied the fuzzy goal programming method for determining the multiple objective TP with some nonlinear membership functions. Khalaf [14] presented a solution method for fuzzy transportation problems. Dutta and Kumar [15] presented the fuzzy goal programming approach to solve the inventory model.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of Capacitated Transportation Problem in Fuzzy Environment

Khalifa

Kumar

Alharbi

2020

Advances in Fuzzy Systems

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This research work aims to study a capacitated transportation problem (CTP) with penalty cost, supplies, and demands represented by hexagonal fuzzy numbers. Based on ranking function, the supplies and demands are converted to the crisp form. Through the use of the α‐level, the problem is converted into interval linear programming. To optimize the interval objective function, we define the order relations represented by policy maker’s choice between intervals. The maximization (minimization) problem considering the interval objective function is transformed to multiobjective optimization problem based on order relations introduced by the preference of policy makers between interval profits (costs). A numerical example is given for illustration and to check the validity of the suggested approach.

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Section: Introductionmentioning

confidence: 99%

Enhancement of Capacitated Transportation Problem in Fuzzy Environment

Khalifa

Kumar

Alharbi

2020

Advances in Fuzzy Systems

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“…Uncertain data in TP may be represented by triangular or trapezoidal fuzzy numbers. Mohanaselvi and Ganesan [22], Samuel and Venkatachalapathy [28], Khalaf [15] have solved fuzzy transportation problem (FTP) by using triangular fuzzy numbers. Basirzadeh [8], Solaiappan and Jeyaraman [31] have solved FTPs with trapezoidal fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Pareto Optimal Solutions of the Fuzzy Multi-Index, Bi-Criteria Fixed Charge Transportation Problem

Sing¹,

Tuli²,

Sarode³

2017

IJFMA

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In this paper, a multi-index, bi-criteria, fixed charge transportation problem (MIBCFCTP) is considered in which the parameters of cost and duration are taken as trapezoidal fuzzy numbers. An algorithm incorporating an extended VAM and an extended MODI method is developed to find Pareto optimal solutions of the problem. The algorithm is illustrated with a numerical example and solutions obtained are compared with existing methods.

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Distribution of Financial Resources Using a Fuzzy Transportation Model

Lazzari

Mouliá

2015

Advances in Intelligent Systems and Computing

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Solving Fuzzy Transportation Problems using a New Algorithm

Cited by 10 publications

References 11 publications

Enhancement of Capacitated Transportation Problem in Fuzzy Environment

Enhancement of Capacitated Transportation Problem in Fuzzy Environment

Pareto Optimal Solutions of the Fuzzy Multi-Index, Bi-Criteria Fixed Charge Transportation Problem

Distribution of Financial Resources Using a Fuzzy Transportation Model

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