Abstract
This paper presents Non-Preemptive priority fuzzy queuing model with asymmetrical service rates. Arrival rate and service rate are taken to be hexagonal, heptagonal, and octagonal fuzzy numbers. Here an interpretation is given to determine the performance measures by applying a new ranking technique through which the fuzzy values are reduced to the crisp values. This ranking technique has the benefit of being precise and relevant compared to other methods such as alpha-cut method and LR method. The main intention is to evaluate the fuzziness before the performance measures are processed by utilizing the regular queueing hypothesis. Three numerical examples are exhibited to show the validity implementation of the methodology.
Highlights
These days, the idea of queuing hypothesis has numerous applications in the real time processes
Methodology we provide a solution methodology for the proposed model i.e. Non-Preemptive priority fuzzy queuing model
The crisp values of the fuzzy arrival rate and the fuzzy service rate were determined by new ranking method
Summary
These days, the idea of queuing hypothesis has numerous applications in the real time processes. Fuente.(2007)) optimized a priority discipline queuing model using fuzzy set theory. (1965)) proposed a single server queueing system with Non-Preemptive and Preemptive resume priorities. Non-Preemptive priority fuzzy queues have been studied (2013)) computed performance measures of fuzzy Non-Preemptive priority queues by Robust ranking technique. The above overview shows that the analysis of Non-Preemptive priority fuzzy queueing systems has not been studied in many cases. (1985)) : A fuzzy number D is a Hexagonal fuzzy number characterized by (d1, d2, d3, d4, d5,d6) where d1, d2, d3, d4, d5,d6 are real numbers. (1985)) : A fuzzy number D is a Heptagonal fuzzy number characterized by (d1, d2, d3, d4, d5,d6,d7) where d1, d2, d3, d4, d5,d6,d7 are real numbers.
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