Abstract: According to the present research of multiple-customer queuing model, a capacity supplement strategy of multiple-customer queuing model dependent on queuing length with the impatient customer was studied. Individual supplement queuing system and sharing supplement queuing system were supposed. The classic continuous-time Markov process theory was proposed to solve the steady-state probability and performance characteristics of two system models. The two systems’ performances were compared in the study. At last, the formula of the net profit ratio was structured to get the relationship of the net profit ratio with system parameter. According to formula of the net profit ratio, the system’s reward-cost analysis was studied. The exploitation conditions of the two systems were obtained which could influence the election between these two capacity supplement systems for decision makers.

Key words: queuing system, capacity supplement strategy, cost analysis