# Interval Model of the Efficiency of the Functioning of Information Web Resources for Services on Ecological Expertise

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## Abstract

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## 1. Introduction

## 2. Analysis of Literature Data and Problem Statement

- The final model should take into account the dependence of the modeled indicator on time (to be dynamic) because as mentioned above, user activity changes over time and is periodic, which is important in terms of analysis and the optimization of business processes;
- Uncontrolled factors that distort the results of observations of temporal characteristics of user activity are proposed to be taken into account in the form of interval estimates of the observed characteristics, which will track and predict the dynamics of web resource efficiency with guaranteed accuracy within unaccounted and uncontrolled factors;
- Discrete time should be used for the modeling process, so that the computing resources used by the model are insignificant compared to the resources needed to provide basic web resource functionality. Observed characteristic of the information web resource efficiency should be represented in the interval form.

## 3. Method of Parameters Identification of IDM

## 4. Experimental Research of the Method of IDM Parameters’ Identification

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 3.**Predicted values of user activity on specified resource, obtained using an interval discrete model (IDM) (16).

Day Number | k | ${\mathit{z}}_{\mathit{k}}^{+}$ | ${\mathit{z}}_{\mathit{k}}^{-}$ |
---|---|---|---|

1 | 0 | 292 | 138 |

2 | 1 | 285 | 156 |

3 | 2 | 277 | 136 |

4 | 3 | 254 | 170 |

5 | 4 | 184 | 108 |

6 | 5 | 61 | 34 |

7 | 5 | 40 | 12 |

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**MDPI and ACS Style**

Dyvak, M.; Papa, O.; Melnyk, A.; Pukas, A.; Porplytsya, N.; Rot, A. Interval Model of the Efficiency of the Functioning of Information Web Resources for Services on Ecological Expertise. *Mathematics* **2020**, *8*, 2116.
https://doi.org/10.3390/math8122116

**AMA Style**

Dyvak M, Papa O, Melnyk A, Pukas A, Porplytsya N, Rot A. Interval Model of the Efficiency of the Functioning of Information Web Resources for Services on Ecological Expertise. *Mathematics*. 2020; 8(12):2116.
https://doi.org/10.3390/math8122116

**Chicago/Turabian Style**

Dyvak, Mykola, Oleksandr Papa, Andrii Melnyk, Andriy Pukas, Nataliya Porplytsya, and Artur Rot. 2020. "Interval Model of the Efficiency of the Functioning of Information Web Resources for Services on Ecological Expertise" *Mathematics* 8, no. 12: 2116.
https://doi.org/10.3390/math8122116