An M/M/s Queuing Model for Selected Petroleum
Tank Farms in Oghara, Delta State, Nigeria

J. Tsetimi; M. G. Orighoyegha

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P505

An M/M/s Queuing Model for Selected Petroleum Tank Farms in Oghara, Delta State, Nigeria

J. Tsetimi, M. G. Orighoyegha

Citation :

J. Tsetimi, M. G. Orighoyegha, "An M/M/s Queuing Model for Selected Petroleum Tank Farms in Oghara, Delta State, Nigeria," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 29-35, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P505

Abstract

In this paper we apply the M/M/S queuing model to Rain oil and Nepal tank farms, Oghara Delta State, Nigeria. The queuing patterns of the tank farms were analyzed using an M/M/S queuing model. The average waiting time of trucks in the system and in the queue and utilization rate of the supply system were computed with a view to determining how best the queuing system can be optimized in both tank farms. Comparison was also carried out between both tank farms. Findings revealed that the utilization rate was very high at both tank farms This means that the system is busy most of the time. We considered also, the waiting time of trucks on queue and the time spent in the system, and provided scientific evidence that the excessive amount of time spent in the system and on the queue can be greatly reduced by increasing the number of service channels. The study concluded by re-iterating the relevance of queuing theory to the effective service delivery of the tank farm industry in Nigeria and recommends the expansion of existing service channels as a way of optimizing efficiency and quality service delivery to truck owners.

Keywords

Multiiple Servers, Petroleum Tank Farms, Queuing Model, Utilization Rate, Waiting Line

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