基于队长依赖的服务能力补充策略分析

摘要：
根据多类型顾客排队系统的研究现状，提出考虑不耐烦顾客的多类型顾客排队模型的队长依赖能力补充策略.首先设计了独享补充系统模型和共享补充系统模型，并根据连续时间马尔科夫过程对系统进行数学建模.其次对系统模型进行了稳态概率及相关性能的推导和求解.然后对两类系统模型的性能进行比较，并进一步提出系统净利润率公式，对两类系统模型进行成本分析.最后根据两类模型的分析比较，提出了各自的使用条件，为两类系统选优提供了参考.
关键词：
排队系统； 能力补充策略； 成本分析
中图分类号： F 224.34
文献标志码： A

Analysis for Capacity Supplement Strategies Based on Queuing Length

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.