Resources Allocation Queue Fairness Model of Multi Server Petroleum Products Distribution System

Customer classification and service prioritization policy in a multi server single queuing system is one major scheduling policy employed by most service oriented institutions to provide preferential treatment to customers, as well as control services in the queuing system. Jobs seniority and service requirement differences are two fundamental principles of queue fairness governing such preferential services. In this study, we invoke the RAQFM analytical framework to investigate the dominance of these parameters in determining class discrimination and system unfairness in atypical multi class multi server single queuing architecture under preemptive priority service policy. In a comparative variant, we evaluate and compare the relative fairness as well as class discrimination coefficients of an alternative setup resource dedication system, i.e. dedicating a separate server or set of server s to each class of customers served under a single FCFS queuing policy. Tentatively, the result of the analysis shows that granting preemptive priority service to customers' classes based on some socio economic or geo political considerations order than the fundamental principles of queue fairness service requirements and job seniority differences maybe not justify. As classes of short jobs from low priority class which have arrived the system early have to wait for eternity for the completion of many classes of long jobs from the high priority classes that arrive behind them thus, to an unfair treatment by the system and a violation of the two fundamental principles of queue fairness. Such policy did not only breed high negative discrimination as well as general system unfairness to classes with lower service requirements and higher inter arrival time but also violate the basic principle of RAQFM. To address such conflict in a multi class multi server system, the study recommended the dedication of separate server s or set of servers to each class of customer associated with a single FCFS queuing policy as a fairer alternative if preferential services must be granted to customers on other criteria than the two fundamental principles of queue fairness. Israel J. Udoh | Alabi Oluwadamilare I | Abam Ayeni O "Resources Allocation Queue-Fairness Model of Multi-Server Petroleum Products Distribution System" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-2 , February 2021, URL: https://www.ijtsrd.com/papers/ijtsrd38497.pdf Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathamatics/38497/resources-allocation-queuefairness-model-of-multiserver-petroleum-products-distribution-system/israel-j-udoh