A Simplex-type Algorithm for General Transportation Problems: An Alternative to Stepping-stone

Arsham, Hossein; Kahn, Arthur B.

doi:10.1057/palgrave.jors.0400607

Cited by 5 publications

(6 citation statements)

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“…An economical come within reach of for scrutiny the fuzzy numbers is by the utilization of a ranking perform supported their hierarchal means. That is, for every (1) (2) a a = ∵ For, any two fuzzy triangular Fuzzy numbers (1) (2)…”

Section: Ranking Of Triangular Fuzzy Numbermentioning

confidence: 99%

On-Resolution of Transportation Issues in Fuzzy Environment Exploitation Ranking Function

Kumar¹,

Tjprc²

2019

IJMPERD

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The transportation problem was originally urbanized as a result of Hitchcock. In literature quite a lot of methods are anticipated for explaining the transportation problem in fuzzy environment. In this research article, we recommend an innovative algorithm for the IBFS in the direction of a Fuzzy transportation problem. To exemplify the projected methodology a arithmetical illustration is solved and also the gained results area unit matched up with the outcome of obtainable strategies. While the projected methodology could be a direct expansion of conventional methodology that the recommend methodology is extremely simple and easy to use on world transportation issues for the decision makers.

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Section: Ranking Of Triangular Fuzzy Numbermentioning

confidence: 99%

On-Resolution of Transportation Issues in Fuzzy Environment Exploitation Ranking Function

Kumar¹,

Tjprc²

2019

IJMPERD

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“…Therefore, keeping in view this feature of the simplex method a few noteworthy previous researchers e.g. Arsham and Khan [1], Arsham [2], Balinski and Gomory [3] among the others confined their attention in this direction and developed optimal solution for deterministic transportation models.…”

Section: Literature Reviewmentioning

confidence: 99%

Progressive Review and Analytical Approach for Optimal Solution of Stochastic Transportation Problems (STP) Involving Multi-Choice Cost

Maurya¹,

Misra²,

Jaggi³

et al. 2014

AJMO

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In this paper some general transportation models have been discussed and particularly a multi-choice cost stochastic transportation problem (STP) has been reviewed in the light of progressive research works of previous noteworthy researchers. In addition, an analytical approach for the optimal solution (OS) of the proposed stochastic transportation problem has been demonstrated. The analytical method proposed by us is not only heuristic but also a generalization in threefold. We remark here that some unnecessary complications involved previously have been removed in our proposed method. Finally, by way of demonstrating a numerical illustration some significant conclusive observations have also been drawn in order to highlight the threefold feature.

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“…In addition, logistics problems without shipment of commodities may be formulated as transportation problems [1]. For instance, the decision problem of minimizing dead kilometers (Raghavendra and Maharaja, 1987) [11] can be formulated as a transportation problem (Vasudevanet al,1993; Sridhar an, 1991) [18], [20].…”

Section: Introductionmentioning

confidence: 99%

“…Various methods are available to solve the transportation problem to obtain an optimal solution [16]. Typical/well-known transportation methods include the stepping stone method [2] (Charnes and Cooper, 1954), the modified distribution method (Dantzig, 1963), the modified stepping-stone method (Shih, 1987), the simplex-type algorithm (Arsham and Kahn, 1989) and the dual-matrix approach (Ji and Chu, 2002). Glover et al (1974) presented a detailed computational comparison of basic solution algorithms for solving the transportation problems [6], [18].…”

Section: Introductionmentioning

confidence: 99%

Comparative study on MDMA method with OFSTF method in Transportation Problem

Amaravathy¹,

samy²,

Vimala³

2016

IJCOT

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A Simplex-type Algorithm for General Transportation Problems: An Alternative to Stepping-stone

Cited by 5 publications

References 0 publications

On-Resolution of Transportation Issues in Fuzzy Environment Exploitation Ranking Function

On-Resolution of Transportation Issues in Fuzzy Environment Exploitation Ranking Function

Progressive Review and Analytical Approach for Optimal Solution of Stochastic Transportation Problems (STP) Involving Multi-Choice Cost

Comparative study on MDMA method with OFSTF method in Transportation Problem

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