Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Operations Research > Queuing theory (random system)

Reliability Analysis of M/G/1 Queuing System with Repairable Service Station and Multiple Working Vacations

Author JiaLiJun
Tutor YueDeQuan
School Yanshan University
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
CLC O226
Type Master's thesis
Year 2010
Downloads 15
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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 .

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