Optimizing a fully rough interval integer solid transportation problems

AnithaKumari, T.; Venkateswarlu, B.; Akilbasha, A.

doi:10.3233/jifs-202373

Cited by 6 publications

(2 citation statements)

References 17 publications

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“…Recently, use of rough intervals to model uncertainty in transportation was realised by Garg and Rizk-Allah ( 2021 ) for a multi-objective transportation problem and by AnithaKumari et al. ( 2021 ) for a solid transportation problem.…”

Section: Literature Reviewmentioning

confidence: 99%

Bilevel transportation problem in neutrosophic environment

Singh

Arora

2022

Comp. Appl. Math.

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In the current times of the predominance of COVID-19, almost all the countries are conducting inoculation drives. Given the market’s inability to compute how much to manufacture, how to transport and the frequently changing demand, the cost of safely and timely transporting the vaccines from factory to syringe is currently indeterminate. In this paper, we formulate this situation using a bilevel transportation problem with neutrosophic numbers (BLTP-NN). The problem comes from a vaccine manufacturing company where the vaccine is produced and then transported to different distribution centres from where it is further transported to various health centres for the conduction of their vaccination drive. The authors have tried to perceive this situation from two perspectives by formulating two different problems. The first problem is a bilevel linear fractional transportation problem which aims at minimizing the transportation cost in proportion to per unit maximization of quantity transported. The second problem is a bilevel indefinite quadratic transportation problem which aims at minimizing the transportation cost and depreciation cost. In both problems, cost coefficients are neutrosophic numbers along with availabilities and demands in the constraint set. These formulated bilevel transportation problems in neutrosophic environment are solved using goal programming strategy to arrive at a satisfactory solution. The relevance of this work is to help the decision makers in budgeting their finances related to the transportation by strategic disbursement leading to a smooth administration of vaccination program.

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Section: Literature Reviewmentioning

confidence: 99%

Bilevel transportation problem in neutrosophic environment

Singh

Arora

2022

Comp. Appl. Math.

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“…Gen et al [10] proposed a genetic algorithm for solution of the multicriteria STP in which all constraints were fuzzy numbers. Anitha Kumari et al [2] proposed an innovative procedure to give an optimal solution for interval integer STP. Yang and Liu [25] studied the fixed charge solid transportation problem having all constraints presented as fuzzy numbers and Li et al [16] introduced a genetic algorithm to find the solution of the fuzzy MSTP.…”

Section: Introductionmentioning

confidence: 99%

Solution of Multi-objective Fractional Solid Transportation Problem (MFSTP) some aggregation operators

KARA,

TİRYAKİ

2023

Preprint

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This paper investigates a multi-objective fractional solid transportation problem (MFSTP) with several fractional criteria such as cost/profit, etc., and its three items are origin, destination, and product type or transportation mode. This paper deals with the problem's solution and analyzes the effect of several important fuzzy aggregation operators on the problem's solution. The most commonly used aggregation operators are investigated for this problem in this context. To explain the solution approach, a numerical example from the literature is given and solved. Moreover, by comparing the generated solutions, a set of solutions is presented to the decision-maker to choose the appropriate operator for our problem.

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