Mathematical Apparatus of Optimal Decision-Making Based on Vector Optimization

Mashunin, Yury K.

doi:10.3390/asi2040032

Cited by 6 publications

(8 citation statements)

References 8 publications

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“…For further reading on priority criteria, one may refer to Mashunin. 34,35 While w B reveals weights of best criterion, w W shows the e importance weights of the worst criterion. e Bj represents the evaluation of the best to others, on the other hand, e Wj represents the assessment of the others to the worse.…”

Section: Best Worst Methodology and Applicationmentioning

confidence: 99%

Evaluation of critical problems of heavy fuel oil separators on ships by best-worst method

Başhan

Demirel

Çelik

2022

Proceedings of the Institution of Mechanical Engineers, Part M:

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It is known that trade by ship is a cheaper way than airway, land, and rail trade. One of the most important reasons for this is that ships use heavy fuel oil (HFO), which is cheap but also poor quality fuel. This HFO used in ships needs to be cleaned with machines called separators (purifiers). Therefore, the separator is one of the vital auxiliary machines on the ship. A satisfactory separation should be done in order to get rid of the effects such as water in the fuel, sludge formation, pump ability, mixing of different grades in the tanks, abrasion, and corrosion, which are the most important risks in the burning of fuel oil. Many problems are encountered while trying to make good separation. Therefore, in this article, 20 important problems that are frequently encountered in ship HFO separators are evaluated with the best-worst method (BWM) by consulting marine experts. Results show that dirty separator discs (also fractured or broken), wrong gravity disc choice (or bad interface position), and unsatisfactory bowl work are the most important problems among 20 critical and frequent separator problems. Problems and results are very important in terms of smooth ship machinery operations and we think that this study will close this gap in the literature by ordering and identifying problems and also solution recommendations.

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Section: Best Worst Methodology and Applicationmentioning

confidence: 99%

Evaluation of critical problems of heavy fuel oil separators on ships by best-worst method

Başhan

Demirel

Çelik

2022

Proceedings of the Institution of Mechanical Engineers, Part M:

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“…The "multi-objective programming method" is a mathematical programming method that allows one to simultaneously consider multiple objectives during the decision-making process [28]. Multi-objective programming aims to assist decision-makers in seeking a better course of action with limited resources and conflicting goals [3,29,30]. The objective function is to maximize the recycling rate of second-hand clothes and minimize the total cost of remanufacturing.…”

Section: Mathematical Modelmentioning

confidence: 99%

Multi-Objective Production Programming to Systematic Sorting and Remanufacturing in Second-Hand Clothing Recycling Industry

et al. 2020

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This study proposes a multi-objective production programming model which is established for systematic sorting and remanufacturing second-hand clothes and the objectives are twofold: (1) minimizing the remanufacturing cost to maintain the competitiveness of second-hand clothing industry and (2) maximizing the recycle rate to reduce the environmental impact from the disposed clothes. Previous studies are lacking to involve the features of second-hand clothing recycled from reuse to recycle in optimizing both the remanufacturing costs and recycle rate. The consequential final destination of consumers’ second-hand clothes is either resold, donated, or disposed of. This study applied sensitivity analysis by varying production cost and new material cost are conducted to evaluate the suitability of three different types of sorting methods for second-hand clothes before let them entering the remanufacturing processes on (1) categories the used clothes; (2) worn-out conditions (high, medium, low), and (3) clothes materials (cotton, linen, wool, silk, artificial fiber). The results show that the first sorting method by clothing categories outperforms the other two methods in maximizing the recycling rate. The second sorting method by worn-out condition generates a minimal remanufacturing cost. The recycling scenarios are simulated to verify the applicability of the proposed programming model with respect to the three sorting methods. The results show that Taiwan exhibited superior the recycle rates and Bangladesh had lower remanufacturing costs by adopting the sorting method by clothes materials.

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“…The remarkable progress made by these approaches in various fields underlines their benefits and is stimulating further research. In particular, despite the remarkable successes in different tasks, research on these approaches is a field of increasing interest [9], with regard to theoretical aspects, which are being deepened [10][11][12], as well as aspects regarding procedures for learning fuzzy systems optimizing accuracy and/or interpretability, or for solving mathematical tasks using fuzzy numbers and soft computing [13][14][15][16][17][18]. Moreover, these approaches are prone to easily and proficiently be employed in different new fields of application [19][20][21].…”

mentioning

confidence: 99%

“…In [11], the authors unambiguously define the relations "greater than", "equal to", and their combination, in the space of all ordered fuzzy numbers, to solve optimization tasks. Moreover, in [12], a problem of "acceptance of an optimal solution" is presented in the form of a vector problem of mathematical programming. The theory of vector optimization is proposed as a mathematical apparatus for the acceptance of optimal solutions of such a class of problems, and the analysis and problem definition of decision making under the conditions of certainty and uncertainty are presented.…”

mentioning

confidence: 99%