Computing and Analysis of Multi Server Queueing Model Using Pentagonal Fuzzy Numbers

Abstract

Abstract In the present study, analysed the multiple server queue miniature using Pentagonal Fuzzy number. To cope with a real-world scenario, the input parameters are converted from crisp to fuzzy type by taking into account. The system parameters, rate of arrival and rate of service are taken fuzzy. The system characteristics like expected number of clients waiting in queue and expected number of clients waiting in system are calculated using DSW algorithm and using alpha-cut at various levels, in interval [0,1]. Using pentagonal number arithmetic, the performance measures are calculated directly as PFNs. Different numerical examples with arrival rate and service rate as PFN are demonstrated to show the authenticity implementation of the performance measures. Finally effect of different parameters are shown for validation purpose.