{"title":"BOUNCING OFF THE BOTTOM","authors":"","doi":"10.2307/j.ctv1fj84w3.5","DOIUrl":"https://doi.org/10.2307/j.ctv1fj84w3.5","url":null,"abstract":"","PeriodicalId":399045,"journal":{"name":"You Should Leave Now","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131047577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"THE NEW YOU","authors":"","doi":"10.2307/j.ctv1fj84w3.30","DOIUrl":"https://doi.org/10.2307/j.ctv1fj84w3.30","url":null,"abstract":"","PeriodicalId":399045,"journal":{"name":"You Should Leave Now","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130664586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GET YOUR MIND RIGHT","authors":"","doi":"10.2307/j.ctv1fj84w3.9","DOIUrl":"https://doi.org/10.2307/j.ctv1fj84w3.9","url":null,"abstract":"","PeriodicalId":399045,"journal":{"name":"You Should Leave Now","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121142835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A Jackson Queuing Network (JQN) [2] is a system consisting of a number of n interconnected queuing stations. A JQN with two queues is depicted in Figure 1 Jobs arrive from the environment with a negative exponential inter-arrival time and are distributed to station i with probability r 0,i. Each station is connected to a single server which handles the jobs with a service time given by a negative exponential distribution with rate µ i. Jobs processed by the station of queue i leave the system with probability r i,0 but are put back into queue j with probability r i,j. JQNs have an infinite state-space because the queues are unbounded. Initially all queues are empty. In this test case we consider JQN models with N = 3, 4, 5 queues. The arrival rate for N queues is λ, which is then distributed to station j (with service rate µ j = j) with probability 1 µ j · N i=1 µ i The probability out of a service rate is then uniformly distributed. We compute the probability that, within t = 10 time units, a state is reached in which 4 or more jobs are in the first and 6 or more jobs are in the second queue.
{"title":"PHASE 2:","authors":"Gilbert Probst, A. Bassi","doi":"10.4324/9781351287647-4","DOIUrl":"https://doi.org/10.4324/9781351287647-4","url":null,"abstract":"A Jackson Queuing Network (JQN) [2] is a system consisting of a number of n interconnected queuing stations. A JQN with two queues is depicted in Figure 1 Jobs arrive from the environment with a negative exponential inter-arrival time and are distributed to station i with probability r 0,i. Each station is connected to a single server which handles the jobs with a service time given by a negative exponential distribution with rate µ i. Jobs processed by the station of queue i leave the system with probability r i,0 but are put back into queue j with probability r i,j. JQNs have an infinite state-space because the queues are unbounded. Initially all queues are empty. In this test case we consider JQN models with N = 3, 4, 5 queues. The arrival rate for N queues is λ, which is then distributed to station j (with service rate µ j = j) with probability 1 µ j · N i=1 µ i The probability out of a service rate is then uniformly distributed. We compute the probability that, within t = 10 time units, a state is reached in which 4 or more jobs are in the first and 6 or more jobs are in the second queue.","PeriodicalId":399045,"journal":{"name":"You Should Leave Now","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121460188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}