Questions tagged [queueing-theory]

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Out of order arrival in LCFS scenario

with LCFS, which packet/process will be serviced first in case of out-of-order arrival: the recently arrived but stale, or the previously arrived but fresh packet? E.g. at $t = 5$, a comparatively ...
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1answer
34 views

M/G/$\infty$ queue with mixture of deterministic service times

Hey guys I am studying queueing theory and I am trying to understand this problem. Consider an $M/GI/ \infty $ queue with the following service time distribution: the service time is $1/\mu_i$ with ...
3
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1answer
206 views

Boundedness of expected reward Markov chain

This is a repost of a question I asked on math.SE. The problem: I have an infinite Markov chain $M$ over the natural numbers, with transition probabilities $$P(n,m)=\sum_{i=0}^{min(m,n)} {n\choose i}...
3
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1answer
324 views

Transactional partially-ordered message queuing

I'm having a really hard time finding a solution to a practical programming problem, and I think raw CS might have an answer. The requirement is for a familiar message queue for which there are ...
2
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1answer
739 views

What is a multicast graph?

Martin Fowler in his blog post on "The LMAX Architecture" tried to describe the component called Disruptor as a multicast graph of queues At a crude level you can think of a Disruptor as a ...
7
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1answer
763 views

The Optimum Strategy to Find the Best Parking Slot Along a Busy Road

Imagine that you are going to a shop. In front of the shop there are $N$ number of parking slots. That shop is located at the $k^{th}$ slot. As you drive along the parking slots, you notice that for $...
5
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1answer
8k views

Queueing Theory: How to estimate steady-state queue length for single queue, N servers?

I have a real-life situation that can be solved using Queueing Theory. This should be easy for someone in the field. Any pointers would be appreciated. Scenario: There is a single Queue and N ...
11
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1answer
238 views

Can someone suggest a recent survey on product form Markov chains?

I'm especially interested in their use in model checking applications. I have Open, Closed and Mixed Networks of Queues with Different Classes of Customers by Baskett et al. Any other suggestions ...