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

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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Cite This Article
  • 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
  • Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria

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

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

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

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

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