Selection of alternative solutions in the optimization problem of network diagrams of project implementation

Domina, Olena

doi:10.15587/2706-5448.2020.210848

Cited by 11 publications

(19 citation statements)

References 5 publications

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“…Numerical modeling is carried out based on the canonical transformation of the response surface described by the regression equations [8]:…”

Section: Methodsmentioning

confidence: 99%

“…Therefore, it is impossible to evaluate other possible solutions in conditions of different input variables. Such solutions can be obtained using the tools of the response surface methodology (RSM), but for this it is necessary to consider the optimization problem in terms of mathematical experimental design, as was done in [8]. These tools can be used to select the canonical transformation of the response surface and the ridge analysis, the use of which for various applications is described in [9] and [10,11], respectively.…”

Section: Mathematicsmentioning

confidence: 99%

“…The principles of using this approach to optimize network diagrams, previously not found in the literature, are proposed in this work. It is a continuation of work [8] and aims to select tools for analyzing the response surface to find optimal solutions for choosing the timing of the start of individual operations in the framework of network planning. To achieve this goal, it is necessary to solve the following problems arising directly from the possibility of combining solutions obtained for different alternatives of choosing independent input variables:…”

Section: Mathematicsmentioning

confidence: 99%

“…and the components of the matrices а and А are determined in accordance with [8]; -calculation of the value of the output variable at a stationary point from the equation:…”

Section: Mathematicsmentioning

confidence: 99%

“…Optimization is carried out according to the q max /q min →min criterion in the space of normalized input variables, which are used to select the times of the beginning of operations C (for alternative 1) and Q+P (for alternative 2) - Table 1 [8]. Table 1 Choice of input variables and variation intervals for the optimized network diagram The normalization, which transmit the values of the input variables into the dimensionless range [-1; +1], is carried out according to the formula:…”

Section: Mathematicsmentioning

confidence: 99%

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Features of Finding Optimal Solutions in Network Planning

Domina¹

2020

Eureka: PE

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The object of research is a test network diagram, in relation to which the task of minimizing the objective function qmax/qmin→min is posed, which requires maximizing the uniformity of the workload of personnel when implementing an arbitrary project using network planning. The formulation of the optimization problem, therefore, assumed finding such times of the beginning of the execution of operations, taken as input variables, in order to ensure the minimum value of the ratio of the peak workload of personnel to the minimum workload. The procedure for studying the response surface proposed in the framework of RSM is described in relation to the problem of optimizing network diagrams. A feature of this procedure is the study of the response surface by a combination of two methods – canonical transformation and ridge analysis. This combination of methods for studying the response surface allows to see the difference between optimal solutions in the sense of "extreme" and in the sense of "best". For the considered test network diagram, the results of the canonical transformation showed the position on the response surface of the extrema in the form of maxima, which is unacceptable for the chosen criterion for minimizing the objective function qmax/qmin→min. It is shown that the direction of movement towards the best solutions with respect to minimizing the value of the objective function is determined on the basis of a parametric description of the objective function and the restrictions imposed by the experiment planning area. A procedure for constructing nomograms of optimal solutions is proposed, which allows, after its implementation, to purposefully choose the best solutions based on the real network diagrams of your project

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“…Numerical modeling is carried out based on the canonical transformation of the response surface described by the regression equations [8]:…”

Section: Methodsmentioning

confidence: 99%

Section: Mathematicsmentioning

confidence: 99%

Section: Mathematicsmentioning

confidence: 99%

“…and the components of the matrices а and А are determined in accordance with [8]; -calculation of the value of the output variable at a stationary point from the equation:…”

Section: Mathematicsmentioning

confidence: 99%

Section: Mathematicsmentioning

confidence: 99%

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Features of Finding Optimal Solutions in Network Planning

Domina¹

2020

Eureka: PE

Self Cite

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Creating the agile-model to manage the activities of project-oriented transport companies

Pavlova¹,

Onyshchenko²,

Obronova³

et al. 2021

EEJET

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This study considers an agile model for the organization of activities of a project-oriented transport company. Building a project-oriented company (project-oriented management) requires an appropriate theoretical base. The agile model of transport company operation has been developed, for which the cycles have been determined, the content of each cycle has been defined, and the flow of information has been simulated. The transformation of information in each cycle of the model has been characterized, taking into consideration the operational specificity of transport companies’ activities. A given model was compared to the main stages of a project’s lifecycle. Two indicators have been proposed such as the degree of project uniqueness and the degree of project complexity that reflect the corresponding project characteristics. The complexity of the project’s operational activities refers to the number of elements and their alternatives. Part of the project is an «operation» that forms a unit of the project’s network schedule. The uniqueness of the project of operational activities means the difference between the current project and other projects, already implemented or is being implemented by the company. The estimation formulae for these indicators have been derived. The proposed indicators for the given example have been calculated; the interpretation of the results has been proposed. The calculation results have demonstrated the adequacy of input-output data and the practical applicability of these indicators. These metrics are not limited to the context of an additional project specification. Their level is proposed to be used in the processes of estimating the time of individual project periods and the agile model’s cycles within the initial stage ‒ creating a product concept model and preparing for implementation. In addition, these indicators could be used effectively for employee remuneration.

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Optimization of technological parameters in the production of cereal beverages fortified with Omega-3 polyunsaturated fatty acids

Khastayeva

Bekturganova

Omaraliyeva

et al. 2023

EEJET

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The object of this study was cereal drinks fortified with Omega-3 polyunsaturated fatty acids: rice (product 1), oat (product 2), buckwheat (product 3). The purpose of the research was to optimize technological parameters in the production of such beverages. A mathematical model was built in the form of three regression equations describing the influence of grinding size (K), roasting temperature (Т), and roasting duration (t) on three output variables: oat, buckwheat, and rice protein content. Statistical analysis of the obtained equations showed that they are adequate in the selected area of planning: K=0.66–2.34 mm, T=133–217 °С, t=3.3–11.7 min. Studies were conducted to determine quality indicators, chemical composition, biological and nutritional value of the developed cereal drinks, in comparison with the control version. It has been established that the content of fatty acid composition of cereal drinks differs markedly. The minimum share of saturated fatty acids was established in product No. 3, without fortification – 10.43 %. The content of polyunsaturated fatty acids ranged from 82.09 % (product 1) to 89.57 % (product 3). The highest omega-3 content was found in product 2, with fortification – 1.34 %, and the lowest – in product 1, without fortification – 0.27 %. The introduction of a filler in cereal drinks made it possible to add protein, thereby increasing the biological value. According to the content of essential amino acids, the devised product is characterized by a high content of essential amino acids, exceeding the FAO/WHO ideal protein scale, which allows us to draw a conclusion about the high biological value of the developed product. The analysis of the mathematical model built established that an increase in the coarseness of grinding leads to a decrease in the protein content in the entire investigated range of values of this factor

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Selection of alternative solutions in the optimization problem of network diagrams of project implementation

Cited by 11 publications

References 5 publications

Features of Finding Optimal Solutions in Network Planning

Features of Finding Optimal Solutions in Network Planning

Creating the agile-model to manage the activities of project-oriented transport companies

Optimization of technological parameters in the production of cereal beverages fortified with Omega-3 polyunsaturated fatty acids

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