Abstract: Highlights•Equilibrium strategic behavior and social optimization in the M/M/1 constant retrial queues are studied.•Both Follow the Crowd (FTC) and Avoid the Crowd (ATC) behaviors exist in our system.•Both multiple and unique equilibrium arrival rates are derived.•The Price of Anarchy (PoA) of the system is discussed.•The Particle Swarm Optimization (PSO) algorithm is used.
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