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

| Peer-Reviewed

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2024. Published by Science Publishing Group

Keywords

Queuing, Waiting Time, Justice, Models, Legal

References

[1]	Adan, I and Resing, J (2015). Queueing Systems. Department of Mathematics and Computing Science, Eindhoven University of Technology.
[2]	Afrane, S. and Appah, A. (2014). Queuing theory and the management of Waiting-time in Hospitals: The case of Anglo Gold Ashanti Hospital in Ghana. International Journal of Academic Research in Business and Social Sciences Vol. 4 (2).
[3]	Anokye, M., Abdul-Aziz, A. R., Annin, A. and Oduro, F. T (2013). Application of Queuing Theory to Vehicular Traffic at Signalized Intersection in Kumasi-Ashanti Region, Ghana. American International Journal of Contemporary Research Vol. 3 (7).
[4]	Aradhye, A and Kallurkar, S. (2014). Application of Queuing Theory to Reduce Waiting Period of Pilgrim. International Journal of Innovative Research in Science, Engineering and Technology Vol. 3 (10).
[5]	Bedane, I. (2017). Modeling Hospital Triage Queuing System. Global Journal of Researches in Engineering: Industrial Engineering Vol. 17 (1).
[6]	Cho, K. W., Kim, S. M, Chae, Y. M. and Song, Y. U (2017). Application of Queuing Theory to Analysis of Changes in Outpatients’ Waiting Times in Hospitals, Introducing EMR. Health Inform Res. 23 (1).
[7]	Conte, A. and Scarsini, M. and Sürücü, O (2016). The impact of time limitation: Insights from a queueing experiment. Judgement and Decision making Vol. 11 (3).
[8]	Famule, F. D. (2010). Analysis of M/M/1 Queueing Model with Applications To Waiting Time Of Customers In Banks. Global Journal of Computer Science and Technology. Vol. 10 (13).
[9]	Fomundam, S., and Herrmann, J (2007). A Survey Of Queuing Theory Applications In Healthcare. The Institute for Systems Research (ISR), Technical Report 2007-24.
[10]	Gumus, S., Bubou, G. M Oladeinde, M. H (2017). Application Of Queuing Theory To A Fast Food Outfit: A Study Of Blue Meadows Restaurant. Independent Journal of Management & Production. Vol. 8.
[11]	Jo H. H, Pan RK, Kaski K. (2012) Time-varying priority queuing models for human dynamics. Phys Rev E (2012) 85: 066101. doi: 10.1103/PhysRevE.85.066101.
[12]	Kama, H. N and Mankilik, I. M (2015). Application Of Queuing Theory In Cadet Mess Administration: A Case Study Of Nigerian Defence Academy, Kaduna Nigeria. Academy Journal of Science and Engineering 9 (1).
[13]	Keaogile, T., Adewole, A. F. and Ramasamy, S (2015). Geo (λ)/ Geo (μ) +G/2 Queues with Heterogeneous Servers Operating under FCFS Queue Discipline. American Journal of Applied Mathematics and Statistics, 2015, Vol. (2), 54-58.
[14]	Kembe, M. M., Gbenimak, C. J., Onoja A. A. (2017). Application of Queueing Theory to Customers Purchasing Premium Motor Spirit (PMS) at a Filling Station. Res Rev J Statistics Math Sci \| Vol. 3 (1).
[15]	Maedeh Chaleshigar Kordasiabi, Hadi Gholizadeh, Hamed Fazlollahtabar and Nikbakhsh Javadian (2020) Analysis of cost model with queuing system under uncertainty. Journal of Industrial and Production Engineering 37 (1): 1-13.
[16]	Mukherjee S and Whalen R (2018). Priority Queuing on the Docket: Universality of Judicial Dispute Resolution Timing. Front. Phys. 6:1. doi: 10.3389/fphy.2018.00001.
[17]	Odior, A. O. (2013). Application of Queuing Theory to Petrol Stations In Benin-City Area Of Edo State, Nigeria. Nigerian Journal of Technology Vol. 32 (2).
[18]	Osahenvemwen O. A. and Odiase O. F. (2016). Effective Utilization of Mobile Call Center Using Queuing Models. International Journal of Engineering and Technology, Vol. 8 (2).
[19]	Ozigbo (2000). Quantitative Analysis for Management. Enugu: Precision printer Publishers, 1st Edition. p. 161-167.
[20]	Paul, G. D., Abdullah, A. M. and Halilu, R. (2015). The Application Of Queueing Model/Waiting Lines in Improving Service Delivering in Nigeria’s Higher Institutions. International Journal of Economics, Commerce and Management United Kingdom Vol. III (1).
[21]	Qureshi, M. I., Bhatti, M., Khan, A and Zaman, K (2014). Measuring queuing system and time standards: a case study of student affairs in universities Muhammad. African Journal of Business Management. Vol. 8 (2).
[22]	Sallam, V. and Zobu, M. (2013). A Two-Stage Model Queueing with No Waiting Line between Channels. Mathematical Problems in Engineering, Vol. 2013.
[23]	Sathiyabalan, P. and Vidhya, V (2015). Queuing Theory And It's Impact On Various Applications - A Review. Sathiyabalan, 2 (6).
[24]	Sheikh, T., Singh, S. K. and Kashyap, A. K. (2013). Application of Queuing Theory for The Improvement Of Bank Service. International Journal of Advanced Computational Engineering and Networking, ISSN: 2320-2106 Vol. 1 (4).
[25]	Srinivas R. Chakravarthy, Shruti, Rakhee Kulstrestha (2020) A queuing Model with Server breakdowns, repairs, vacations and backup server. Journal of Operation Research Perspectives. Volume 7.
[26]	Sundarapandian, V. (2009). 7. Queueing Theory: Probability, Statistics and Queueing Theory. PHI Learning.
[27]	Ugwuishiwu, C. H, Okoronkwo, M. C., and Asogwa, C. N. (2017). Performance evaluation of law enforcement agency on crime information management using queuing network model. International Journal of Physical Sciences. Vol. 12 (4).
[28]	Yakubu, A. W. and Najim, U (2014). An Application of Queuing Theory to ATM Service Optimization: A Case Study. Mathematical Theory and Modeling Vol. 4 (6).
[29]	Yusuf, M. O. Nwaiwu, B. and Kazeem, A. O (2015). Queuing Theory and Customer Satisfaction: A Review of Performance, Trends and Application in Banking Practice (A Study of First Bank Plc Gwagwalada, Abuja Branch). European Journal of Business and Management, Vol. 7 (35).

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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  -

Copy | Download

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

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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  -

Copy | Download