Mathematics of the market. Problem book

Mathematics of the market. Problem book
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Описание книги

This book supplements the theoretical principles already published in books [1.1].It studies the issues that arise at various stages of functioning of the market and offers their solutions by using methods of the mass service theory. The application of the proposed mathematical methods enables rigorous calculations of the desired parameters.

Оглавление

Alexander Berlin. Mathematics of the market. Problem book

Acronyms

Introduction

Chapter 1. The initial concept

1.1. A mathematical model of the market

1.2. Relative consumption. The unit of measure of supply and demand

Chapter 2. The market as a system with obvious losses. Basic concepts

2.1. A mathematical model of the market as a system with obvious losses

2.2. The first Erlang formula for the calculation of market indicators

Chapter 3. Examples of application of the first formula of erlang for solving problems of the market

3.1. Define the initial data

3.1.1 Example 1. Determination of the intensity of consumption

3.1. 2. Example 2. Determination of the intensity of the incoming proposals

3.2. Example 3. The calculation the market of oil

3.3. Example 4. The influence of the size of the group of consumers to a change in the AMOUNT of the proposal

3.4. Example 5. Separation market of consumption in case of overload

3.5. Example 6. Calculation the volume of sales of women’s shoes

3.7.Example 7. The distribution of the number of groups of consumption in time (e.g., seasonal)

3.8. Example 8. Change the number of groups of consumption to save the value of losses

3.9. Example 9. Change of the number of groups’ consumption the result of competition

Chapter 4. The market as a system with with waiting

4.1. The market model as the system with waiting

Chapter 5. The application of the second formula Erlang for calculation of the indicators of the market

5.1. Example 1. The calculation of the basic characteristics in the systems with the waiting

5.2. Example 2. The calculation of the market of oil with the storage of unsold goods

Chapter 6. Service of group consumers with full accessibility of the group with a limited number of batches of goods. (formula Engset)

6.1. Statement of the problem

Chapter 7. Examples application formula Engset to meet the challenges of the market

Problem 1

Problem 2

GLOSSARY

References

Annex – 1

Annex – 2

Отрывок из книги

A Relative- relative consumption.

Areal real consumption.

.....

tconsum-average duration of consumption for consumers

TGD. The time of greatest demand

.....

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