Based on the research of vacation queue with multiserver, the (finite) queues with vacation of partial servers are considered by using quasi birth and death process and matrix-geometric solutions.

Consider a multi-server M/M/c queue with partial working vacations and vacation interruption.

By surveying and analyseing the demands of reading-leisure of public, this article announces the interaction between the demands ofreading-leisure of public and leisure-service of library under the background of leisure and reading culture,and brings forward the construction of sustainable development leisure-service system of library.