REDUCING SERVER REDUNDANCIES IN
ATM LINES VIA QUEUE DISCIPLINES
Sulaiman Sani1, Hamisu Musa2, Hali Ibrahim Abba3
1Department of Physical Sciences
Kampala International University
Kampala, UGANDA
1,2,3Department of Mathematics and Computer Science
Umaru Musa Yar'Adua University
Katsina, NIGERIA

Abstract

We solve a machine redundancy problem in ATM centers via service policy design. Generally, redundancy has the tendency to increase the cost of service. Using the supplementary variable technique, we derive models for the customer process. A comparative analysis with certain existing models shows that machines operating under our design are better utilized. Thus, the design is a good alternative for reasons do to with managing investment resources.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 1
Year: 2017

DOI: 10.12732/ijam.v30i1.1

Download Section



Download the full text of article from here.

You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.

References

  1. [1] O.A. Daman and S. Sani, An M/G/2 queue with a finite buffer under dual control: Stationary lost and cost analysis, International Journal of Applied Mathematics, 28, No 5 (2015), 527-540, doi: 10.12732/ijam.v28i5.6.
  2. [2] B.E. Emrah, O. Ceyda and O. Irem, Parallel machine scheduling with additional resources: Notation, classification, models and solution methods, European Journal of Operational Research, 230 (2003), 449-463.
  3. [3] J.S. MacGregor, M/G/c/K blocking probability models and system performance, Performance Evaluation, 52 (2003), 237-267.
  4. [4] K. Mohammad and M. Ali, A hybrid method for solving optimal control problems, IAENG International Journal of Applied Mathematics, 42, No 2 (2012), 80-86.
  5. [5] S. Sani and O.A. Daman, The M/G/2 queue with heterogeneous servers under a controlled service discipline: Stationary performance analysis, IAENG International Journal of Applied Mathematics, 45, No 1 (2015), 31-40.
  6. [6] R. Sivasamy, O.A. Daman and S. Sani, An M/G/2 queue where customers are served subject to a minimum violation of the FCFS queue discipline, European Journal of Operational Research, 240 (2015), 140-146.