Minimizing the Loss Probability in M/M/2/1 Queueing System with Ordered Entry

Abstract

This study analyzed the M/M/2/1 queueing model with queue of length one (waiting room of capacity just one), heterogeneous servers and ordered entry using the method of semi-Markov process. The customers who arrive in the system enter the free server; if the two servers are free, the customers enter the first server. If the two servers are busy, just one customer can wait at the waiting room. If the two servers are busy and the waiting room has a customer, the following customers will leave the system without receiving any service. Such a customer is called LOST COSTOMER. The probability of lost customers in the queueing system under examination was computed. Furthermore, by using inequality shown that the loss probability was minimum when inter-arrival times fit deterministic distribution [1] [2].

Preparation and Utilization of Fixing Agents for Dyed Cotton Fabrics

“…Pretreatment of cellulosic fibers with cationic agents has been reported to enhance the uptake of anionic dyes and facilitate the fixation of reactive dyes in the absence of either salt or alkali [10,11]. Amines, quaternary ammonium, phosphonium and tertiary sulphonium compounds can be used as dye fixing agents [12][13][14][15]. The aim of this work was to prepared new cationic fixing agents for overcome on, the wet fastness properties of anionic dyes.…”