DOI: 10.5176/2251-1938_ORS17.20
Authors: Liu Weiqi, Li Jihong, Ma Qingqing and Zhang Xindong
Abstract:
Consider an M/M/1 queue with N-policy where the server works at a lower service rate rather than completely stops working during a vacation period. Based on the "reward-cost" structure and the theory of Markov process, starting from the customers maximizing their reward, customers' behavior is analyzed by the method of mean value analysis under observable case. By solving the balance equations, the stationary probability and the customer's expected sojourn time are obtained. Finally, the equilibrium social benefit function is constructed, PSO (Particle Swarm Optimization) algorithm is employed to solve the optimization problem, and the effect of parameters on the equilibrium behavior is illustrated via numerical examples.
Keywords: N-policy; Markov process; Customer strategy; Mean value analysis; Particle Swarm Optimization
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