<strong>Paper Title</strong><br>
Optimization of the Randomized Controlling Arrivals for a Finite Queue with Working Breakdowns and Start up<br>
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<strong>Abstract</strong><br>
This paper analyzes a randomized control 〈􀢖, 􀡲〉-policy of an M/M/1 queue with working breakdowns and start
up. Customers are allowed to enter the system with probability􀢖 or customers are stillunable to enter the system with
probability (􀫚 − 􀢖)when the number of customers decreases to a certain threshold value 􀡲.We assume that the serveris
subject to working breakdowns only when there is at least one customer in the system. We apply an efficient Maple program
to compute the steady-state probabilities and various system performance measures. A cost model is constructed to
determine the optimal threshold, 􀡲, and the joint optimal values 􀣆􀫚 and 􀣆􀫛 for the fast and slow service rates simultaneously
by means of PSO algorithm.
Keywords - Queue, F-Policy, Working Breakdowns, Start up, Pso