Reliability Analysis of M/G/1 Queuing System with Repairable Service Station and Multiple Working Vacations
|Course||Operational Research and Cybernetics|
|Keywords||Queuing system Working Vacation Vacation interruption Captain Time to failure for the first time the probability of failure by time t|
Repairable queuing system is an extension of the classic queuing theory and development , Desk in customer service may occur during fault and can repair a queuing system , the theoretical results in the field of manufacturing systems, communication systems , and computer system a wide range of applications . In recent years , Servi and Finn introduced a working vacation policy , it has important applications in the the gateway router performance analysis of the optical fiber communication network . Desk failure or vacation phenomenon has an important impact on the performance and economic benefits of the system . Therefore , the study of the above mechanism queuing system has important theoretical significance and application value . Papers on a working vacation policy M/G/1 repairable queuing system reliability analysis , the main contents are as follows: First, the study of multiple working vacation policy M/G/1 repairable queuing model literature promotion of multiple working vacations M/G/1 queuing model . The paper has been generalized service time distribution function of the busy period of the system and work leave attendants , and the steady state of the system any time steady-state captain and customer wait time ; using probability decomposition method to get the service desk first times failure time distribution function and help desk at time t the probability of failure . And to study the performance of the system when the service time is negative exponential distribution and unreliable waiter reliability problems . Second, the study of multiple working vacations strategy and vacation interruption strategy M/G/1 repairable queuing model , is the promotion of literature on strategies and vacation interruption policy M/G/1 queuing model with multiple working vacations . The paper has been generalized service time distribution function of the busy period of the system and work leave waiter , and get the steady state of the system any time steady-state captain and customer wait time . Probability decomposition Desk of first failure probability of failure time distribution function and help desk at time t .