Some properties of generalized greyness of interval grey number

Li, Li; Li, Xican

doi:10.1108/gs-01-2023-0001

Cited by 2 publications

(1 citation statement)

References 12 publications

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“…To deal with the uncertain processing time, interval grey number processing time is an emerging method (Li and Li, 2023; Liz, 2022)which has attracted the attention of some scholars in recent years due to its simple form and special significance (Wang and Xie, 2021; Zhu and Zhou, 2020, 2021). Based on the Grey System Theory (Deng, 1982), the uncertain processing time is expressed as interval grey numbers.…”

Section: Introductionmentioning

confidence: 99%

Assembly line balancing and capacity evaluation based on interval grey processing time

Dang,

Xie

2023

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PurposeAssembly line is a common production form and has been effectively used in many industries, but the imprecise processing time of each process makes production line balancing and capacity forecasting the most troublesome problems for production managers. In this paper, uncertain man-hours are represented as interval grey numbers, and the optimization problem of production line balance in the case of interval grey man-hours is studied to better evaluate the production line capacity.Design/methodology/approachFirst, this paper constructs the basic model of assembly line balance optimization for the single-product scenario, and on this basis constructs an assembly line balance optimization model under the multi-product scenario with the objective function of maximizing the weighted greyscale production line balance rate, second, this paper designs a simulated annealing algorithm to solve problem. A neighborhood search strategy is proposed, based on assembly line balance optimization, an assembly line capacity evaluation method with interval grey man-hour characteristics is designed.FindingsThis paper provides a production line balance optimization scheme with uncertain processing time for multi-product scenarios and designs a capacity evaluation method to provide managers with scientific management strategies so that decision-makers can scientifically solve the problems that the company's design production line is quite different from the actual production situation.Originality/valueThere are few literary studies on combining interval grey number with assembly line balance optimization. Therefore, this paper makes an important contribution in this regard.

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Section: Introductionmentioning

confidence: 99%

Assembly line balancing and capacity evaluation based on interval grey processing time

Dang,

Xie

2023

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The grey decision model and its application based on generalized greyness of interval grey number

Li,

2024

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PurposeIn order to solve the decision-making problem that the attributive weight and attributive value are both interval grey numbers, this paper tries to construct a multi-attribute grey decision-making model based on generalized greyness of interval grey number.Design/methodology/approachFirstly, according to the nature of the generalized gresness of interval grey number, the generalized weighted greyness distance between interval grey numbers is given, and the transformation relationship between greyness distance and real number distance is analyzed. Then according to the objective function that the square sum of generalized weighted greyness distances from the decision scheme to the best scheme and the worst scheme is the minimum, a multi-attribute grey decision-making model is constructed, and the simplified form of the model is given. Finally, the grey decision-making model proposed in this paper is applied to the evaluation of technological innovation capability of 6 provinces in China to verify the effectiveness of the model.FindingsThe results show that the grey decision-making model proposed in this paper has a strict mathematical foundation, clear physical meaning, simple calculation and easy programming. The application example shows that the grey decision model in this paper is feasible and effective. The research results not only enrich the grey system theory, but also provide a new way for the decision-making problem that the attributive weights and attributive values are interval grey numbers.Practical implicationsThe decision-making model proposed in this paper does not need to seek the optimal solution of the attributive weight and the attributive value, and can save the decision-making labor and capital investment. The model in this paper is also suitable for the decision-making problem that deals with the coexistence of interval grey numbers and real numbers.Originality/valueThe paper succeeds in realizing the multi-attribute grey decision-making model based on generalized gresness and its simplified forms, which provide a new method for grey decision analysis.

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Some properties of generalized greyness of interval grey number

Cited by 2 publications

References 12 publications

Assembly line balancing and capacity evaluation based on interval grey processing time

Assembly line balancing and capacity evaluation based on interval grey processing time

The grey decision model and its application based on generalized greyness of interval grey number

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