Iterative method for the transportation problem with additional supply and consumption points and quadratic cost

Соколов, А. А.; Тизик, А. П.; Цурков, В. И.

doi:10.1134/s106423071304014x

Cited by 6 publications

(1 citation statement)

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“…Khurana and Arora [30] described an algorithm for finding cost-time trade off pairs for bi-criterion IQTP with fixed charge. Sokolov et al [31] presented the solution technique for non-linear transportation problems. Table 1 represents the summary of related literature by different authors.…”

Section: Introductionmentioning

confidence: 99%

An Aspect of Bilevel Indefinite Quadratic Transportation Problem Under Intuitionistic Fuzzy Environment

Arora

Singh

Arora

2021

Frontiers in Artificial Intelligence and Applications

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In this paper, a bilevel problem is exhibited wherein both the manufacturers and e-traders want to minimize the cost of transportation as well as deterioration cost. In todays world, reliability on online ordering has increased manifold. The “app culture” has lured the common man to prefer virtual shopping over the physical one. The consumers can order the necessities or the goods of their choice through electronic delivery apps. The manufacturers have tied up with e-traders who in turn satisfy the consumers demand. With this aim, a bilevel indefinite quadratic transportation problem is dened. Sometimes it is difcult to estimate the daily demand of perishable products on a regular basis. Therefore, demand and supply parameters become uctuating in nature. To tackle this situation, bilevel indefinite quadratic transportation problem with intuitionistic fuzzy demand and supply parameters is formulated. This problem is dealt by converting fuzzy parameters into crisp ones. The transformed problem is then solved by two methods, intuitionistic fuzzy programming and fuzzy goal programming approach. To support the results, an example is also illustrated numerically representing the practical application of the problem. A comparative analysis of the solutions obtained from the two techniques is also presented. The problem is solved by computing software.

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Section: Introductionmentioning

confidence: 99%