Waiting Time Before Justice in the Law Sector: A QUEUEING Theory

Etaga Harrison Oghenekevwe; Chikwendu Peace; Awopeju Kabiru Abidemi; Aforka Kenechukwu Florence; Etaga Njideka Cecilia

doi:doi:10.11648/j.ajtas.20211002.15

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Waiting Time Before Justice in the Law Sector: A QUEUEING Theory

Etaga Harrison Oghenekevwe, Chikwendu Peace, Awopeju Kabiru Abidemi, Aforka Kenechukwu Florence, Etaga Njideka Cecilia

Published in American Journal of Theoretical and Applied Statistics (Volume 10, Issue 2)

Received: 15 March 2021 Accepted: 9 April 2021 Published: 16 April 2021

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Abstract

The legal system in Nigeria is be-deviled with delayed justice which has become a source of concern to many person. This is very much peculiar to those who feel that the judiciary is too slow in resolving legal issues in Nigeria. In Nigeria, there abound court cases especially those of criminal dimensions that have ongoing for years now without reaching a conclusive conclusion. The study is aimed at modelling the queuing system in the magistrate courts in Onitsha Magisterial districts. The specific objectives include: to apply the M/M/2 and M/M/3 models with identical and parallel queues to criminal cases in the Magistrate court and to compare the efficiency of the two models and in either cases to determine time to justice in criminal cases in the Magisterial District. The results of the study show that M/M/2 model with 2 identical and parallel queues have an expected number of cases in the system as 39 with 50% idle time while the M/M/3 model with 3 identical and parallel queues have an expected number of cases in the system as 23 cases with 64.88% idle time. The comparison of the two models shows M/M/2 with 2-identical and parallel queues is more efficient as it has more number of cases to attend to and less idle time. The study therefore concludes that the delays in the disposal of cases especially those with criminal nature may not be attributable to the queuing systems in place. Even though lesser number of servers is seen to be efficient, this may not be advised. Increasing the number of servers though will increase speed of disposal of cases, may also lead to increased idle time of servers. As more courts being set up may result in waste of resources, manpower and time as the 2-server system is efficient in speeding up justice delivery in the magisterial division.

Published in	American Journal of Theoretical and Applied Statistics (Volume 10, Issue 2)
DOI	10.11648/j.ajtas.20211002.15
Page(s)	129-135
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), 2021. Published by Science Publishing Group

Keywords

Queuing, Waiting Time, Justice, Models, Legal

References

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APA Style

Etaga Harrison Oghenekevwe, Chikwendu Peace, Awopeju Kabiru Abidemi, Aforka Kenechukwu Florence, Etaga Njideka Cecilia. (2021). Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. American Journal of Theoretical and Applied Statistics, 10(2), 129-135. https://doi.org/10.11648/j.ajtas.20211002.15

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ACS Style

Etaga Harrison Oghenekevwe; Chikwendu Peace; Awopeju Kabiru Abidemi; Aforka Kenechukwu Florence; Etaga Njideka Cecilia. Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. Am. J. Theor. Appl. Stat. 2021, 10(2), 129-135. doi: 10.11648/j.ajtas.20211002.15

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AMA Style

Etaga Harrison Oghenekevwe, Chikwendu Peace, Awopeju Kabiru Abidemi, Aforka Kenechukwu Florence, Etaga Njideka Cecilia. Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. Am J Theor Appl Stat. 2021;10(2):129-135. doi: 10.11648/j.ajtas.20211002.15

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@article{10.11648/j.ajtas.20211002.15,
  author = {Etaga Harrison Oghenekevwe and Chikwendu Peace and Awopeju Kabiru Abidemi and Aforka Kenechukwu Florence and Etaga Njideka Cecilia},
  title = {Waiting Time Before Justice in the Law Sector: A QUEUEING Theory},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {10},
  number = {2},
  pages = {129-135},
  doi = {10.11648/j.ajtas.20211002.15},
  url = {https://doi.org/10.11648/j.ajtas.20211002.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20211002.15},
  abstract = {The legal system in Nigeria is be-deviled with delayed justice which has become a source of concern to many person. This is very much peculiar to those who feel that the judiciary is too slow in resolving legal issues in Nigeria. In Nigeria, there abound court cases especially those of criminal dimensions that have ongoing for years now without reaching a conclusive conclusion. The study is aimed at modelling the queuing system in the magistrate courts in Onitsha Magisterial districts. The specific objectives include: to apply the M/M/2 and M/M/3 models with identical and parallel queues to criminal cases in the Magistrate court and to compare the efficiency of the two models and in either cases to determine time to justice in criminal cases in the Magisterial District. The results of the study show that M/M/2 model with 2 identical and parallel queues have an expected number of cases in the system as 39 with 50% idle time while the M/M/3 model with 3 identical and parallel queues have an expected number of cases in the system as 23 cases with 64.88% idle time. The comparison of the two models shows M/M/2 with 2-identical and parallel queues is more efficient as it has more number of cases to attend to and less idle time. The study therefore concludes that the delays in the disposal of cases especially those with criminal nature may not be attributable to the queuing systems in place. Even though lesser number of servers is seen to be efficient, this may not be advised. Increasing the number of servers though will increase speed of disposal of cases, may also lead to increased idle time of servers. As more courts being set up may result in waste of resources, manpower and time as the 2-server system is efficient in speeding up justice delivery in the magisterial division.},
 year = {2021}
}

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TY  - JOUR
T1  - Waiting Time Before Justice in the Law Sector: A QUEUEING Theory
AU  - Etaga Harrison Oghenekevwe
AU  - Chikwendu Peace
AU  - Awopeju Kabiru Abidemi
AU  - Aforka Kenechukwu Florence
AU  - Etaga Njideka Cecilia
Y1  - 2021/04/16
PY  - 2021
N1  - https://doi.org/10.11648/j.ajtas.20211002.15
DO  - 10.11648/j.ajtas.20211002.15
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 129
EP  - 135
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20211002.15
AB  - The legal system in Nigeria is be-deviled with delayed justice which has become a source of concern to many person. This is very much peculiar to those who feel that the judiciary is too slow in resolving legal issues in Nigeria. In Nigeria, there abound court cases especially those of criminal dimensions that have ongoing for years now without reaching a conclusive conclusion. The study is aimed at modelling the queuing system in the magistrate courts in Onitsha Magisterial districts. The specific objectives include: to apply the M/M/2 and M/M/3 models with identical and parallel queues to criminal cases in the Magistrate court and to compare the efficiency of the two models and in either cases to determine time to justice in criminal cases in the Magisterial District. The results of the study show that M/M/2 model with 2 identical and parallel queues have an expected number of cases in the system as 39 with 50% idle time while the M/M/3 model with 3 identical and parallel queues have an expected number of cases in the system as 23 cases with 64.88% idle time. The comparison of the two models shows M/M/2 with 2-identical and parallel queues is more efficient as it has more number of cases to attend to and less idle time. The study therefore concludes that the delays in the disposal of cases especially those with criminal nature may not be attributable to the queuing systems in place. Even though lesser number of servers is seen to be efficient, this may not be advised. Increasing the number of servers though will increase speed of disposal of cases, may also lead to increased idle time of servers. As more courts being set up may result in waste of resources, manpower and time as the 2-server system is efficient in speeding up justice delivery in the magisterial division.
VL  - 10
IS  - 2
ER  -

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Author Information

Etaga Harrison Oghenekevwe

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
Chikwendu Peace

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
Awopeju Kabiru Abidemi

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
Aforka Kenechukwu Florence

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
Etaga Njideka Cecilia

Department of Educational Foundations, Faculty of Education, Nnamdi Azikiwe University, Awka, Nigeria

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APA Style

Etaga Harrison Oghenekevwe, Chikwendu Peace, Awopeju Kabiru Abidemi, Aforka Kenechukwu Florence, Etaga Njideka Cecilia. (2021). Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. American Journal of Theoretical and Applied Statistics, 10(2), 129-135. https://doi.org/10.11648/j.ajtas.20211002.15

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ACS Style

Etaga Harrison Oghenekevwe; Chikwendu Peace; Awopeju Kabiru Abidemi; Aforka Kenechukwu Florence; Etaga Njideka Cecilia. Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. Am. J. Theor. Appl. Stat. 2021, 10(2), 129-135. doi: 10.11648/j.ajtas.20211002.15

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AMA Style

Etaga Harrison Oghenekevwe, Chikwendu Peace, Awopeju Kabiru Abidemi, Aforka Kenechukwu Florence, Etaga Njideka Cecilia. Waiting Time Before Justice in the Law Sector: A QUEUEING Theory. Am J Theor Appl Stat. 2021;10(2):129-135. doi: 10.11648/j.ajtas.20211002.15

Copy | Download

@article{10.11648/j.ajtas.20211002.15,
  author = {Etaga Harrison Oghenekevwe and Chikwendu Peace and Awopeju Kabiru Abidemi and Aforka Kenechukwu Florence and Etaga Njideka Cecilia},
  title = {Waiting Time Before Justice in the Law Sector: A QUEUEING Theory},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {10},
  number = {2},
  pages = {129-135},
  doi = {10.11648/j.ajtas.20211002.15},
  url = {https://doi.org/10.11648/j.ajtas.20211002.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20211002.15},
  abstract = {The legal system in Nigeria is be-deviled with delayed justice which has become a source of concern to many person. This is very much peculiar to those who feel that the judiciary is too slow in resolving legal issues in Nigeria. In Nigeria, there abound court cases especially those of criminal dimensions that have ongoing for years now without reaching a conclusive conclusion. The study is aimed at modelling the queuing system in the magistrate courts in Onitsha Magisterial districts. The specific objectives include: to apply the M/M/2 and M/M/3 models with identical and parallel queues to criminal cases in the Magistrate court and to compare the efficiency of the two models and in either cases to determine time to justice in criminal cases in the Magisterial District. The results of the study show that M/M/2 model with 2 identical and parallel queues have an expected number of cases in the system as 39 with 50% idle time while the M/M/3 model with 3 identical and parallel queues have an expected number of cases in the system as 23 cases with 64.88% idle time. The comparison of the two models shows M/M/2 with 2-identical and parallel queues is more efficient as it has more number of cases to attend to and less idle time. The study therefore concludes that the delays in the disposal of cases especially those with criminal nature may not be attributable to the queuing systems in place. Even though lesser number of servers is seen to be efficient, this may not be advised. Increasing the number of servers though will increase speed of disposal of cases, may also lead to increased idle time of servers. As more courts being set up may result in waste of resources, manpower and time as the 2-server system is efficient in speeding up justice delivery in the magisterial division.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Waiting Time Before Justice in the Law Sector: A QUEUEING Theory
AU  - Etaga Harrison Oghenekevwe
AU  - Chikwendu Peace
AU  - Awopeju Kabiru Abidemi
AU  - Aforka Kenechukwu Florence
AU  - Etaga Njideka Cecilia
Y1  - 2021/04/16
PY  - 2021
N1  - https://doi.org/10.11648/j.ajtas.20211002.15
DO  - 10.11648/j.ajtas.20211002.15
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 129
EP  - 135
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20211002.15
AB  - The legal system in Nigeria is be-deviled with delayed justice which has become a source of concern to many person. This is very much peculiar to those who feel that the judiciary is too slow in resolving legal issues in Nigeria. In Nigeria, there abound court cases especially those of criminal dimensions that have ongoing for years now without reaching a conclusive conclusion. The study is aimed at modelling the queuing system in the magistrate courts in Onitsha Magisterial districts. The specific objectives include: to apply the M/M/2 and M/M/3 models with identical and parallel queues to criminal cases in the Magistrate court and to compare the efficiency of the two models and in either cases to determine time to justice in criminal cases in the Magisterial District. The results of the study show that M/M/2 model with 2 identical and parallel queues have an expected number of cases in the system as 39 with 50% idle time while the M/M/3 model with 3 identical and parallel queues have an expected number of cases in the system as 23 cases with 64.88% idle time. The comparison of the two models shows M/M/2 with 2-identical and parallel queues is more efficient as it has more number of cases to attend to and less idle time. The study therefore concludes that the delays in the disposal of cases especially those with criminal nature may not be attributable to the queuing systems in place. Even though lesser number of servers is seen to be efficient, this may not be advised. Increasing the number of servers though will increase speed of disposal of cases, may also lead to increased idle time of servers. As more courts being set up may result in waste of resources, manpower and time as the 2-server system is efficient in speeding up justice delivery in the magisterial division.
VL  - 10
IS  - 2
ER  -

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