منابع مشابه
Optimal dispatching in a tandem queue
We investigate a Markovian tandem queueing model in which service to the first queue is provided in batches. The main goal is to choose the batch sizes so as to minimize a linear cost function of the mean queue lengths. This model can be formulated as a Markov Decision Process (MDP) for which the optimal strategy has nice structural properties. In principle we can numerically compute the optima...
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Motivated by various applications in logistics, road traffic and production management, we investigate two versions of a tandem queueing model in which the service rate of the first queue can be controlled. The objective is to keep the mean number of jobs in the second queue as low as possible, without compromising the total system delay (i.e. avoiding starvation of the second queue). The balan...
متن کاملThe cyclic queue and the tandem queue
We consider a closed queueing network, consisting of two FCFS single server queues in series: a queue with general service times and a queue with exponential service times. A fixed number N of customers cycles through this network. We determine the joint sojourn time distribution of a tagged customer in, first, the general queue and, then, the exponential queue. Subsequently, we indicate how th...
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• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملCorrections to "Optimal order of servers in a tandem queue with general blocking"
(1) In equation (8) on page 430, Cn+l should be replaced by Cn. (2) In lemma 3 on page 431, fqj= 1,3, 4, 5 should be replaced by t3j= 1,3,4, 5. (3) Theorem 2 on page 432 should be stated as: For two systems with a m _ 1 : k i n _ 1 andbm_ 1 = a m = 1, i fX <rh (resp. <~t)Ythen THBA < THBB. (4) Di(x,y) in lemma 6 should be replaced by Ii(x,y) on page 434. (5) Lemma 3 should be theorem 3 on page ...
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ژورنال
عنوان ژورنال: Queueing Systems
سال: 2017
ISSN: 0257-0130,1572-9443
DOI: 10.1007/s11134-017-9554-x