The Question Of Multi-server Deliberate And Discussion About Its Profit Maximization

As an important aspect in the research of line, Multi-service-line-system studies the line-system which has more than one sercive desk, and plays an important role in the management and decision-making. The queuing theory, as a combining of Probability Theory and Random process, is an important branch of Operations. Basing on the existing Multi-service queuing theory, this paper researches the multi-service-line-system in several aspects as follows.Firstly, we established a more extensive Multi-service queuing model, which not only has the general characteristics of stop and dropout, but also added the retry(a process that customers who have already accepted the service again get into the system for service), making this model more closed to the actual life. Then, using matrix analysis methods, we got the steady-state model parameters of each goal, thus solve the queuing problem with retry queue, balking and reneging multi-serviced multiple synchrorous vacations.Secondly, according to the characteristics of ordinary queuing, we built two kinds of line-system in which the numbers of service desks are respectively odd and even, and could help each other. That is to say, this service-system has auxiliary services. Then, using matrix analysis methods, we got probability of each state in the steady-state, thus we got each goal reference variables of multi-service-line-system with assistance service.Again, utilizing the stochastic process theory, we established an income-formula of the multi-service-line-system. Then, utilizing the statistical method, we got the income expectation of terminal-service-system and total income of the system, which built the foundation for the profit maximization of the system in the next step.Finally, using the multi-service-line-system theory and method, we analyzed and studied the operation mechanism of a container terminal, and established a mathematical model of the terminal service system. What's more, using the real datas of throughputs of domestic and forergn trade container and the program developed by mathematical sofrware, we found the optimal service quantity and surtable capacity-space which maximizes the total profits of this system.