Title
Utility-Maximizing Resource Control: Diffusion Limit and Asymptotic Optimality for a Two-Bottleneck Model
Abstract
We study a stochastic network that consists of two servers shared by two classes of jobs. Class 1 jobs require a concurrent occupancy of both servers while class 2 jobs use only one server. The traffic intensity is such that both servers are bottlenecks, meaning the service capacity is equal to the offered workload. The real-time allocation of the service capacity among the job classes takes the form of a solution to an optimization problem that maximizes a utility function. We derive the diffusion limit of the network and establish its asymptotic optimality. In particular, we identify a cost objective associated with the utility function and show that it is minimized at the diffusion limit by the utility-maximizing allocation within a broad class of “fair” allocation schemes. The model also highlights the key issues involved in multiple bottlenecks.
Year
DOI
Venue
2010
10.1287/opre.1090.0758
Operations Research
Keywords
Field
DocType
job class,utility function,utility-maximizing allocation,stochastic network,stochastic processing network,diffusion limit,difiusion limit,two-bottleneck model,service capacity,broad class,utility-maximizing resource control,dynamic com- plementarity problem,real-time allocation,asymptotic optimality.,asymptotic optimality,allocation scheme,optimization problem,real time,stochastic process
Bottleneck,Mathematical optimization,Workload,Traffic intensity,Server,Complementarity theory,Occupancy,Optimization problem,Operations management,Input/output (C++),Mathematics
Journal
Volume
Issue
ISSN
58
3
0030-364X
Citations 
PageRank 
References 
7
0.67
8
Authors
2
Name
Order
Citations
PageRank
Hengqing Ye110012.30
David D. Yao2861140.51