Jackson networks with unlimited supply of work
نویسندگان
چکیده
منابع مشابه
Jackson Networks with Unlimited Supply of Work
We consider a Jackson network in which some of the nodes have an infinite supply of work: when all the customers queued at such a node have departed, the node will process a customer from this supply. Such nodes will be processing jobs all the time, so they will be fully utilized and experience a traffic intensity of 1. We calculate flow rates for such networks, obtain conditions for stability,...
متن کاملJackson Networks with Unlimited Supply of Work
We consider a Jackson network in which some of the nodes have an infinite supply of work: When all the customers queued at such a node have departed, the node will process a customer from this supply. Such nodes will be processing jobs all the time, so they will be fully utilized and experience traffic intensity of 1. We calculate flow rates for such networks, obtain conditions for stability, a...
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We consider a Jackson network with two nodes, with no exogenous input, but instead an infinite supply of work at each of the nodes: whenever a node is empty, it processes a job from this infinite supply. We obtain an explicit expression for the steady state distribution of this system, as an infinite sum of product forms.
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Jackson networks are versatile models for analyzing complex networks. In this paper we study generalized Jackson networks with single-server stations, where nodes may have an infinite supply of work. We allow simultaneous breakdown of servers and consider group repair strategies. We establish the existence of a steadystate distribution of the queue-length vector at stable nodes for different ty...
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We investigate the extent to which price updates can increase the revenue of a seller with little prior information on demand. We study prior-free revenue maximization for a seller with unlimited supply of n item types facing m myopic buyers present for k< logn days. For the static (k = 1) case, Balcan et al. [2] show that one random item price (the same on each item) yields revenue within a Θ(...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2005
ISSN: 0021-9002,1475-6072
DOI: 10.1017/s0021900200000863