Closed Networks of Queues

Author(s):  
Mor Harchol-Balter
2017 ◽  
Vol 59 (3) ◽  
pp. 239-256 ◽  
Author(s):  
Ángela Martínez-Pérez ◽  
Marie-Michele Beauchesne

Despite the recognized importance of tourism as an engine of economic growth in developed countries, research on the antecedents of innovation in this sector has been sparse, especially in the context of tourism clusters. Scholars have suggested that social capital is a key determinant of firm innovation in the context of tourism clusters, but empirical evidence has been lacking. The aim of this article is to empirically study the interplay between social capital and innovation in the context of tourism clusters at firm level. More specifically, we analyzed the effects of closed networks and diverse networks on firm innovation using a sample of 215 hospitality and tourism firms located in the World Heritage Cities of Spain. Results showed an inverted-U-shaped relationship between closed networks and firm innovation. Consistent with existing literature, these findings suggest that whereas a certain degree of strength and density helps to promote innovation, a critical point may exist beyond which innovation stabilizes or deteriorates when the information of the network becomes too redundant. In addition, we found that diverse networks positively moderated the relationship between closed networks and firm innovation. In other words, structural holes appear to mitigate the negative effects arising from excess strength and density and encourage the development of innovations beyond what a firm relying solely on closed networks could achieve. In practice, these results suggest firms in tourism clusters should not exclusively focus on typical closed networks but also create connections with diverse agents to maximize their potential for innovation.


2017 ◽  
Vol 31 (4) ◽  
pp. 420-435 ◽  
Author(s):  
J.-M. Fourneau ◽  
Y. Ait El Majhoub

We consider open networks of queues with Processor-Sharing discipline and signals. The signals deletes all the customers present in the queues and vanish instantaneously. The customers may be usual customers or inert customers. Inert customers do not receive service but the servers still try to share the service capacity between all the customers (inert or usual). Thus a part of the service capacity is wasted. We prove that such a model has a product-form steady-state distribution when the signal arrival rates are positive.


1976 ◽  
Vol 8 (2) ◽  
pp. 416-432 ◽  
Author(s):  
F. P. Kelly

The behaviour in equilibrium of networks of queues is studied. Equilibrium distributions are obtained and in certain cases it is shown that the state of an individual queue is independent of the state of the rest of the network. The processes considered in this paper are irreversible; however, the method used to establish equilibrium distributions is one which has previously only been used when dealing with reversible processes. Results are obtained for models of communication networks, machine interference and birth-illness-death processes.


2012 ◽  
Vol 49 (1) ◽  
pp. 60-83
Author(s):  
Ole Stenzel ◽  
Hans Daduna

We consider a sequence of cycles of exponential single-server nodes, where the number of nodes is fixed and the number of customers grows unboundedly. We prove a central limit theorem for the cycle time distribution. We investigate the idle time structure of the bottleneck nodes and the joint sojourn time distribution that a test customer observes at the nonbottleneck nodes during a cycle. Furthermore, we study the filling behaviour of the bottleneck nodes, and show that the single bottleneck and multiple bottleneck cases lead to different asymptotic behaviours.


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