Pessimistic, optimistic, and minimax regret approaches for linear programs under uncertainty

Thipwiwatpotjana, Phantipa; Lodwick, Weldon A.

doi:10.1007/s10700-013-9171-z

Cited by 18 publications

(18 citation statements)

References 15 publications

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“…Using the corresponding strategy presented in [1], [2], [17] the technology that provides minimal cost under the most favourable circumstances is selected. Note that the proposed change in the optimization criteria with cause corresponding change in the logic of the strategy.…”

Section: B Favourable Circumstances Strategymentioning

confidence: 99%

“…According to references [1], [2], [17] and the proposed modification of the optimization criteria (also required change in the strategy logic), this strategy boils down to a search for technology that provides minimal production costs in the most unfavourable circumstances (pessimistic strategy). In this case the proposed calculation function for determining of the optimal technology is presented in (4).…”

Section: Unfavourable Circumstances Strategymentioning

confidence: 99%

“…The disadvantage of this approach is increase of the time for fulfilling orders due to lower productivity. Basing on the description presented in [1], [2], [14], [17] the cost matrix from Table I is transformed into a matrix of regret -Table V, where r i,j is the "regret" of the person making decision for taking not the best choice of technology in a particular combination (Θ j ) of the uncertain parameters. Note that the proposed changes in the optimization criteria for this strategy will lead to change in the selection logic as well.…”

Section: Unfavourable Circumstances Strategymentioning

confidence: 99%

See 2 more Smart Citations

Modified Strategies for Assembly Technology Selection of a Mechanical Device by Performing Optimization under Uncertainties

Ichtev¹

2017

IJMO

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In this paper the investigated problem is how to choose assembly technology for particular mechanical device. The selection process is performed by application of optimization strategies in the presence of uncertainties and discreet number of alternative assembly technologies. Six strategies with proposed new optimization criterion are presented and discussed. In this paper, as a main optimization criterion, it is proposed to minimize the combined cost of labour and equipment (with respect to a single manufactured product). In addition to those strategies, in this paper, three new and modified strategies are proposed, which involve certain social aspects in the decision making process. The problem solution is demonstrated on a particular manufacturing problemassemble of a mechanical device (hydraulic gear pump).

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Section: B Favourable Circumstances Strategymentioning

confidence: 99%

Section: Unfavourable Circumstances Strategymentioning

confidence: 99%

Section: Unfavourable Circumstances Strategymentioning

confidence: 99%

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Modified Strategies for Assembly Technology Selection of a Mechanical Device by Performing Optimization under Uncertainties

Ichtev¹

2017

IJMO

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“…Existing methods of analysis and management of risks, in general, are based on the usage of probable constructions [4], [5], [6], [7]. However, in most cases, it is not possible to obtain a sufficient data for conducting reliable analysis, due to the RFYS uniqueness of most projects.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Self-tuning Model for Analysis of Project Risks

Glushenko¹,

Doljenko²

2018

KEG

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“…The engineering sector is a major industry of Bryansk region; therefore, providing conditions for the effective functioning of a machine-building enterprise is an important direction of industrial management [12,13,16].…”

Section: Introductionmentioning

confidence: 99%

Machine-building Enterprise Fuzzy Model as the Interrelated Factor Complex System

Averchenkov

Averchenkova

Gorlenko

et al. 2017

J. Phys.: Conf. Ser.

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Abstract. The article considers the features of the modern machine-building complex of Bryansk region. The authors have developed a component classifier of an industrial enterprise internal environment; have formed the machine-building enterprise fuzzy model describing its internal environment factor relationship. The main result of the model made was forming a confidence interval that describes the mutual influence degree of the internal environment factors of a machine-building enterprise.

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Pessimistic, optimistic, and minimax regret approaches for linear programs under uncertainty

Cited by 18 publications

References 15 publications

Modified Strategies for Assembly Technology Selection of a Mechanical Device by Performing Optimization under Uncertainties

Modified Strategies for Assembly Technology Selection of a Mechanical Device by Performing Optimization under Uncertainties

Fuzzy Self-tuning Model for Analysis of Project Risks

Machine-building Enterprise Fuzzy Model as the Interrelated Factor Complex System

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