A multi-objective transportation problem with cost dependent credit period policy under Gaussian fuzzy environment

Bera, Raj Kumar; Mondal, Shyamal Kumar

doi:10.1007/s12351-022-00691-4

Cited by 4 publications

(4 citation statements)

References 45 publications

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“…( 5). Constraint (6) indicates that the value of y ij is 1 if x ij > 0 and 0 if x ij = 0. The restrictions on decision variables are represented by constraints (7) and ( 8).…”

Section: Model Formulationmentioning

confidence: 99%

“…Bagheri et al [17] studied a problem for the maximization of profit and minimization of transportation duration together. Bera and Mondal [6] published an article where both sources and destinations are benefitted simultaneously. A multi-objective transportation problem has been studied by Pan et al [16] to reduce both transportation and energy consumption costs together.…”

Section: Literature Reviewmentioning

confidence: 99%

“…10" and "the reliability along a path is close to 0.92". Previously, an article [6] discusses a transportation problem where the uncertainty is expressed by the phrase "the unit transportation cost is around Rs. 10" and that data has been expressed mathematically by a fuzzy number.…”

Section: Problem Descriptionmentioning

confidence: 99%

“…In the literature, the fuzzy set theory [1] is a widely used mathematical tool to express incomplete/imprecise data. Previously, an article [6] discusses the linguistic term 'around' and it has been expressed mathematically by a fuzzy number. Here, the uncertainty has been expressed by a shadowed number (Pedrycz, [2]) and it is obtained by reducing the uncertainty from a fuzzy number.…”

Section: Introductionmentioning

confidence: 99%

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Analyzing a transportation problem with reliability under the shadowed environment

MONDAL,

BERA

2024

Preprint

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In today's market, sources are being pressurized to deliver the product in a reliable and cost effective manner. From this perspective, the aim of the present work is to model a transportation problem to transport items from some sources to various destinations by minimizing the cost with maximum reliability. Here, the considered reliability is called 'transportation reliability' and it refers to the probability of successfully transporting items over different routes. Also, system reliability has been for different type transportation problems. Due to the imprecise nature of unit transportation cost and transportation reliability, the model has been formulated in shadowed environment. To convert the uncertain model into a deterministic form, a weighted-based de-shadowed procedure has been established. Further, to find the most efficient pareto optimal solution, an algorithm has been developed. Finally, Some numerical examples are considered to illustrate the models in both crisp and shadowed environments numerically.

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“…( 5). Constraint (6) indicates that the value of y ij is 1 if x ij > 0 and 0 if x ij = 0. The restrictions on decision variables are represented by constraints (7) and ( 8).…”

Section: Model Formulationmentioning

confidence: 99%