In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the di...In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are directly obtained from the transient solution. As will be seen this paper provides a intuitive and elegant method for studying transient solutions for M/G/1 queues with single server.展开更多
In this paper, we study an M/M/1 queue with multiple working vacations under following Bernoulli control policy: at the instants of the completion of a service in vacation, the server will interrupt the vacation and e...In this paper, we study an M/M/1 queue with multiple working vacations under following Bernoulli control policy: at the instants of the completion of a service in vacation, the server will interrupt the vacation and enter regular busy period with probability 1 p (if there are customers in the queue) or continue the vacation with probability p. For this model, we drive the analytic expression of the stationary queue length and demonstrate stochastic decomposition structures of the stationary queue length and waiting time, also we obtain the additional queue length and the additional delay of this model. The results we got agree with the corresponding results for working vacation model with or without vacation interruption if we set p = 0 or p = 1, respectively.展开更多
We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson stream...We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson streams. Under a non-preemptive priority rule, the server provides a general service to the priority units and a deterministic service to the non-priority units. We further assume that the server may take a vacation of random length just after serving the last priority unit present in the system. We obtain steady state queue size distribution at a random epoch. Corresponding results for some special cases, including the known results of the M/G/1 and the M/D/1 queues, have been derived.展开更多
一、阅读理解主题:人与自我——生活与学习建议用时:7分钟The Wilsons decided to go overseas for vacation,They had a family meeting to plan the vacation."First,"Mr Wilson said,"we should decide where we are ...一、阅读理解主题:人与自我——生活与学习建议用时:7分钟The Wilsons decided to go overseas for vacation,They had a family meeting to plan the vacation."First,"Mr Wilson said,"we should decide where we are going.""I don't agree,"Mrs Wilson said."I think we should decide when we are going first,We don't want to go to places when they are cold."展开更多
从鲜花供品到静居日,从梯田游览到海浪驰骋,巴厘岛让我们放慢脚步,瞬间发现喜悦。Imagine a vacation that feels like stepping into a reallife adventure game.That's Bali!Its special secret is called"menyama braya,&qu...从鲜花供品到静居日,从梯田游览到海浪驰骋,巴厘岛让我们放慢脚步,瞬间发现喜悦。Imagine a vacation that feels like stepping into a reallife adventure game.That's Bali!Its special secret is called"menyama braya,"which means living peacefully with everything and everyone.展开更多
Due to its unique geography,Jinan has the largest underground water vein(地下水脉)in China.Thus,with its 72 famous springs,Jinan has become a popular vacation destination.The springs in Jinan,which are the most outsta...Due to its unique geography,Jinan has the largest underground water vein(地下水脉)in China.Thus,with its 72 famous springs,Jinan has become a popular vacation destination.The springs in Jinan,which are the most outstanding features,were first recorded in Li Daoyuan’s Commentary on the Waterways Classic.The text states that there are 72 famous springs in Jinan.However,in reality,the number of springs far exceeds this number,reaching thousands.These springs are not only abundant in quantity,but also diverse in form,showing the wonderful creativity of nature.What’s even more amazing is that springs usually appear in suburban areas.That’s because spring water usually flows from outside the city into the city,while Jinan is completely opposite.Consequently,springs are everywhere in Jinan,including the busiest city center!展开更多
Hi,I'm Young from Zhangjiagang Yangshe Experimental School,and I'm in Grade Six.I want to share my fantastic summer vacation with you!This summer,I went on a trip to Macao with my family.It was an amazing and ...Hi,I'm Young from Zhangjiagang Yangshe Experimental School,and I'm in Grade Six.I want to share my fantastic summer vacation with you!This summer,I went on a trip to Macao with my family.It was an amazing and unforgettable experience for me!展开更多
文摘In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are directly obtained from the transient solution. As will be seen this paper provides a intuitive and elegant method for studying transient solutions for M/G/1 queues with single server.
基金Foundation item： Supported by the National Science Foundation of China（60874083） Supported by the 2011 National Statistical Science Development Funds（2011LY014） Supported by the 2012 Soft Science Devel- opment Funds of Science and Technology Committee of Henan Province（122400450090）
文摘In this paper, we study an M/M/1 queue with multiple working vacations under following Bernoulli control policy: at the instants of the completion of a service in vacation, the server will interrupt the vacation and enter regular busy period with probability 1 p (if there are customers in the queue) or continue the vacation with probability p. For this model, we drive the analytic expression of the stationary queue length and demonstrate stochastic decomposition structures of the stationary queue length and waiting time, also we obtain the additional queue length and the additional delay of this model. The results we got agree with the corresponding results for working vacation model with or without vacation interruption if we set p = 0 or p = 1, respectively.
文摘We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson streams. Under a non-preemptive priority rule, the server provides a general service to the priority units and a deterministic service to the non-priority units. We further assume that the server may take a vacation of random length just after serving the last priority unit present in the system. We obtain steady state queue size distribution at a random epoch. Corresponding results for some special cases, including the known results of the M/G/1 and the M/D/1 queues, have been derived.
文摘一、阅读理解主题:人与自我——生活与学习建议用时:7分钟The Wilsons decided to go overseas for vacation,They had a family meeting to plan the vacation."First,"Mr Wilson said,"we should decide where we are going.""I don't agree,"Mrs Wilson said."I think we should decide when we are going first,We don't want to go to places when they are cold."
文摘从鲜花供品到静居日,从梯田游览到海浪驰骋,巴厘岛让我们放慢脚步,瞬间发现喜悦。Imagine a vacation that feels like stepping into a reallife adventure game.That's Bali!Its special secret is called"menyama braya,"which means living peacefully with everything and everyone.
文摘Due to its unique geography,Jinan has the largest underground water vein(地下水脉)in China.Thus,with its 72 famous springs,Jinan has become a popular vacation destination.The springs in Jinan,which are the most outstanding features,were first recorded in Li Daoyuan’s Commentary on the Waterways Classic.The text states that there are 72 famous springs in Jinan.However,in reality,the number of springs far exceeds this number,reaching thousands.These springs are not only abundant in quantity,but also diverse in form,showing the wonderful creativity of nature.What’s even more amazing is that springs usually appear in suburban areas.That’s because spring water usually flows from outside the city into the city,while Jinan is completely opposite.Consequently,springs are everywhere in Jinan,including the busiest city center!
文摘Hi,I'm Young from Zhangjiagang Yangshe Experimental School,and I'm in Grade Six.I want to share my fantastic summer vacation with you!This summer,I went on a trip to Macao with my family.It was an amazing and unforgettable experience for me!
