Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations

Karimov Nijat Ashraf

doi:doi:10.11648/j.ajtte.20170203.11

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Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations

Karimov Nijat Ashraf

Published in American Journal of Traffic and Transportation Engineering (Volume 2, Issue 3)

Received: 21 May 2017 Accepted: 13 June 2017 Published: 14 July 2017

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Abstract

The main goal of the work is to choose the theoretical distribution function most consistent with the empirical function of fault distribution based on the analysis of statistical information of previous replenishment periods about the failures of details of each type of par value. This information should be accumulated on daily information about the replacement of spare parts of failed parts in vehicles that arrived during the entire period of replenishment for maintenance at this service station. The choice of the best theoretical distribution function in this sense is made from a set of a finite number of competing parametric distributions (exponential, normal, log-normal, We bull, monotonic and no monotonic diffusion) by Kolmogorov-Smirnov's test. The advantage of this criterion in comparison with other consent criteria is that, along with an estimate of the accuracy of the approximation of the empirical failure distribution function. The mutual reversibility of the processes of distribution of the operating time to failure (to failure) and the number of failures is established, the relationship between the expressions for the distribution function of the operating time to a fixed number of failures and the function of the distribution of the number of failures for a fixed operating time to failure is obtained. This ratio allows you to choose the best distribution model based on the available fault statistics of parts (and replacing them with the corresponding spare parts) in the previous planning periods.

Published in	American Journal of Traffic and Transportation Engineering (Volume 2, Issue 3)
DOI	10.11648/j.ajtte.20170203.11
Page(s)	26-31
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Poisson Flow, Distribution Function, A Set of SPIA, Operating Time Until Failure, Diffusive Distribution, Critical Value of Statistics, Importance Level of the Hypothesis

References

[1]	Y. I. Ryjikov. “Queues theory and inventory management”. St. Petersburg – 384 pages (in Russian).
[2]	Agafanov A. V. “The determination of the demand of dealer car technical service stations in spare parts and increasing the effectiveness of inventory management.– Dissertation on the candidate of technical sciences. – M: Moscow Car-Road Institute. 2003, 221 pages (in Russian).
[3]	Sherbakov D. A. Logistic methods and models of service organization and delivery management in the system of auto service firms. St. Petersburg State University of Engineering economy. 2003. 12 pages (in Russian).
[4]	Grishin A. S. Development method of forecasting the demand of auto service enterprise in spare parts. Moscow State Industry University. 2005. 152 pages (in Russian).
[5]	Frolov Y. N. The determination of the motor transport demand in spare parts. (Methodical instructions for the seminars). M: Moscow Car-Road Institute (State Technical Institute), 2006. 21 pages (in Russian).
[6]	Kulbak L. I. The calculation basis of the provision of electronic equipment of spare parts. M: Sov. Radio. 1970. 186 pages (in Russian).
[7]	Pogrebinsky S. B., Strelnikov V. P. Projection and reliability of multiprocessor ECM. M: Radio and connection. 1998. 168 pages (in Russian).
[8]	Strelnikov V. P. Fedukhin A. V. Estimation and prediction of the reliability of electronic elements and systems. K: Logos, 2002. 486 pages (in Russian).
[9]	Interstate standards. Reliability in technology. Failure models. Main positions. K: The Ukraine. 1999. 45 pages (in Russian).
[10]	Pollard J. “Manual on computational method of statistics” / Translated from English. M: Finance and statistics, 1982. 344 pages.
[11]	Kendal M. J., Stuart A. Statistical consequences and relations / Translated from English. M: Science, 1973. 899 pages.

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APA Style

Karimov Nijat Ashraf. (2017). Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. American Journal of Traffic and Transportation Engineering, 2(3), 26-31. https://doi.org/10.11648/j.ajtte.20170203.11

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ACS Style

Karimov Nijat Ashraf. Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. Am. J. Traffic Transp. Eng. 2017, 2(3), 26-31. doi: 10.11648/j.ajtte.20170203.11

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AMA Style

Karimov Nijat Ashraf. Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. Am J Traffic Transp Eng. 2017;2(3):26-31. doi: 10.11648/j.ajtte.20170203.11

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@article{10.11648/j.ajtte.20170203.11,
  author = {Karimov Nijat Ashraf},
  title = {Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations},
  journal = {American Journal of Traffic and Transportation Engineering},
  volume = {2},
  number = {3},
  pages = {26-31},
  doi = {10.11648/j.ajtte.20170203.11},
  url = {https://doi.org/10.11648/j.ajtte.20170203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtte.20170203.11},
  abstract = {The main goal of the work is to choose the theoretical distribution function most consistent with the empirical function of fault distribution based on the analysis of statistical information of previous replenishment periods about the failures of details of each type of par value. This information should be accumulated on daily information about the replacement of spare parts of failed parts in vehicles that arrived during the entire period of replenishment for maintenance at this service station. The choice of the best theoretical distribution function in this sense is made from a set of a finite number of competing parametric distributions (exponential, normal, log-normal, We bull, monotonic and no monotonic diffusion) by Kolmogorov-Smirnov's test. The advantage of this criterion in comparison with other consent criteria is that, along with an estimate of the accuracy of the approximation of the empirical failure distribution function. The mutual reversibility of the processes of distribution of the operating time to failure (to failure) and the number of failures is established, the relationship between the expressions for the distribution function of the operating time to a fixed number of failures and the function of the distribution of the number of failures for a fixed operating time to failure is obtained. This ratio allows you to choose the best distribution model based on the available fault statistics of parts (and replacing them with the corresponding spare parts) in the previous planning periods.},
 year = {2017}
}

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TY  - JOUR
T1  - Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations
AU  - Karimov Nijat Ashraf
Y1  - 2017/07/14
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtte.20170203.11
DO  - 10.11648/j.ajtte.20170203.11
T2  - American Journal of Traffic and Transportation Engineering
JF  - American Journal of Traffic and Transportation Engineering
JO  - American Journal of Traffic and Transportation Engineering
SP  - 26
EP  - 31
PB  - Science Publishing Group
SN  - 2578-8604
UR  - https://doi.org/10.11648/j.ajtte.20170203.11
AB  - The main goal of the work is to choose the theoretical distribution function most consistent with the empirical function of fault distribution based on the analysis of statistical information of previous replenishment periods about the failures of details of each type of par value. This information should be accumulated on daily information about the replacement of spare parts of failed parts in vehicles that arrived during the entire period of replenishment for maintenance at this service station. The choice of the best theoretical distribution function in this sense is made from a set of a finite number of competing parametric distributions (exponential, normal, log-normal, We bull, monotonic and no monotonic diffusion) by Kolmogorov-Smirnov's test. The advantage of this criterion in comparison with other consent criteria is that, along with an estimate of the accuracy of the approximation of the empirical failure distribution function. The mutual reversibility of the processes of distribution of the operating time to failure (to failure) and the number of failures is established, the relationship between the expressions for the distribution function of the operating time to a fixed number of failures and the function of the distribution of the number of failures for a fixed operating time to failure is obtained. This ratio allows you to choose the best distribution model based on the available fault statistics of parts (and replacing them with the corresponding spare parts) in the previous planning periods.
VL  - 2
IS  - 3
ER  -

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Author Information

Karimov Nijat Ashraf

Department of Automotive Engineering, Azerbaijan Technical University, Baku, Azerbaijan

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Plain Text BibTeX RIS

APA Style

Karimov Nijat Ashraf. (2017). Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. American Journal of Traffic and Transportation Engineering, 2(3), 26-31. https://doi.org/10.11648/j.ajtte.20170203.11

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ACS Style

Karimov Nijat Ashraf. Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. Am. J. Traffic Transp. Eng. 2017, 2(3), 26-31. doi: 10.11648/j.ajtte.20170203.11

Copy | Download

AMA Style

Karimov Nijat Ashraf. Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations. Am J Traffic Transp Eng. 2017;2(3):26-31. doi: 10.11648/j.ajtte.20170203.11

Copy | Download

@article{10.11648/j.ajtte.20170203.11,
  author = {Karimov Nijat Ashraf},
  title = {Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations},
  journal = {American Journal of Traffic and Transportation Engineering},
  volume = {2},
  number = {3},
  pages = {26-31},
  doi = {10.11648/j.ajtte.20170203.11},
  url = {https://doi.org/10.11648/j.ajtte.20170203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtte.20170203.11},
  abstract = {The main goal of the work is to choose the theoretical distribution function most consistent with the empirical function of fault distribution based on the analysis of statistical information of previous replenishment periods about the failures of details of each type of par value. This information should be accumulated on daily information about the replacement of spare parts of failed parts in vehicles that arrived during the entire period of replenishment for maintenance at this service station. The choice of the best theoretical distribution function in this sense is made from a set of a finite number of competing parametric distributions (exponential, normal, log-normal, We bull, monotonic and no monotonic diffusion) by Kolmogorov-Smirnov's test. The advantage of this criterion in comparison with other consent criteria is that, along with an estimate of the accuracy of the approximation of the empirical failure distribution function. The mutual reversibility of the processes of distribution of the operating time to failure (to failure) and the number of failures is established, the relationship between the expressions for the distribution function of the operating time to a fixed number of failures and the function of the distribution of the number of failures for a fixed operating time to failure is obtained. This ratio allows you to choose the best distribution model based on the available fault statistics of parts (and replacing them with the corresponding spare parts) in the previous planning periods.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Identification of the Actual Distribution of Demand for Spare Parts in Car Maintenance Service Stations
AU  - Karimov Nijat Ashraf
Y1  - 2017/07/14
PY  - 2017
N1  - https://doi.org/10.11648/j.ajtte.20170203.11
DO  - 10.11648/j.ajtte.20170203.11
T2  - American Journal of Traffic and Transportation Engineering
JF  - American Journal of Traffic and Transportation Engineering
JO  - American Journal of Traffic and Transportation Engineering
SP  - 26
EP  - 31
PB  - Science Publishing Group
SN  - 2578-8604
UR  - https://doi.org/10.11648/j.ajtte.20170203.11
AB  - The main goal of the work is to choose the theoretical distribution function most consistent with the empirical function of fault distribution based on the analysis of statistical information of previous replenishment periods about the failures of details of each type of par value. This information should be accumulated on daily information about the replacement of spare parts of failed parts in vehicles that arrived during the entire period of replenishment for maintenance at this service station. The choice of the best theoretical distribution function in this sense is made from a set of a finite number of competing parametric distributions (exponential, normal, log-normal, We bull, monotonic and no monotonic diffusion) by Kolmogorov-Smirnov's test. The advantage of this criterion in comparison with other consent criteria is that, along with an estimate of the accuracy of the approximation of the empirical failure distribution function. The mutual reversibility of the processes of distribution of the operating time to failure (to failure) and the number of failures is established, the relationship between the expressions for the distribution function of the operating time to a fixed number of failures and the function of the distribution of the number of failures for a fixed operating time to failure is obtained. This ratio allows you to choose the best distribution model based on the available fault statistics of parts (and replacing them with the corresponding spare parts) in the previous planning periods.
VL  - 2
IS  - 3
ER  -

Copy | Download