Browsing Heuristic Optimization by Issue Date
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On the Gittins index in the M/G/1 queue
(20091231)For an M/G/1 queue with the objective of minimizing the mean number of jobs in the system, the Gittins index rule is known to be optimal among the set of nonanticipating policies. We develop properties of the Gittins ... 
Optimal policy for multiclass scheduling in a single server queue
(20091231)In this paper we apply the Gittins optimality result to characterize the optimal scheduling discipline in a multiclass M/G/1 queue. We apply the general result to several cases of practical interest where the service time ... 
Heavytraffic analysis of the M/PH/1 Discriminatory Processor Sharing queue with phasedependent weights
(20091231)We analyze a generalization of the Discriminatory Processor Sharing (DPS) queue in a heavytraffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ... 
Asymptotically optimal parallel resource assignment with interference
(20101231)Motivated by scheduling in cellular wireless networks and resource allocation in computer systems, we study a service facility with two classes of users having heterogeneous service requirement distributions. The aggregate ... 
Monotonicity properties for multiclass queueing systems
(20101231)We study multidimensional stochastic processes that arise in queueing models used in the performance evaluation of wired and wireless networks. The evolution of the stochastic process is determined by the scheduling policy ... 
Convergence of trajectories and optimal buffer sizing for AIMD congestion control
(20101231)We study the interaction between the AIMD (Additive Increase Multiplicative Decrease) multisocket congestion control and a bottleneck router with Drop Tail buffer. We consider the problem in the framework of deterministic ... 
Convergence of trajectories and optimal buffer sizing for MIMD congestion control
(20101231)We study the interaction between the MIMD (Multiplicative Increase Multiplicative Decrease) congestion control and a bottleneck router with Drop Tail buffer. We consider the problem in the framework of deterministic hybrid ... 
Optimal routing in parallel, nonobservable queues and the price of anarchy revisited
(20101231)We consider a network of parallel, nonobservable queues and analyze the "price of anarchy", an index measuring the worstcase performance loss of a decentralized system with respect to its centralized counterpart in ... 
A modeling framework for optimizing the flowlevel scheduling with timevarying channels
(20101231)We introduce a comprehensive modeling framework for the problem of scheduling a finite number of finitelength jobs where the available service rate is timevarying. The main motivation comes from wireless data networks ... 
The price of forgetting in parallel and nonobservable queues
(20111231)We consider a brokerbased network of nonobservable parallel queues and analyze the minimum expected response time and the optimal routing policy when the broker has the memory of its previous routing decisions. We provide ... 
Properties of the gittins index with application to optimal scheduling
(20111231)We consider the optimal scheduling problem for a singleserver queue without arrivals. We allow preemptions, and our purpose is to minimize the expected flow time. The optimal nonanticipating discipline is known to be the ... 
Competition yields efficiency in load balancing games
(20111231)We study a nonatomic congestion game with N parallel links, with each link under the control of a profit maximizing provider. Within this 'load balancing game', each provider has the freedom to set a price, or toll, for ... 
Load balancing in processor sharing systems
(20111231)We investigate optimal load balancing strategies for a multiclass multiserver processorsharing system with a Poisson input stream, heterogeneous service rates, and a serverdependent holding cost per unit time. Specifically, ... 
A nearlyoptimal index rule for scheduling of users with abandonment
(20111231)We analyze a comprehensive model for multiclass job scheduling accounting for user abandonment, with the objective of minimizing the total discounted or timeaverage sum of linear holding costs and abandonment penalties. ... 
Resourcesharing in a single server with timevarying capacity
(20111231)We investigate the problem of sharing the resources of a single server with timevarying capacity with the objective of minimizing the mean delay. We formulate the resource allocation problem as a Markov Decision Process. ... 
Heavytraffic analysis of a multiplephase network with discriminatory processor sharing
(20111231)We analyze a generalization of the discriminatory processorsharing (DPS) queue in a heavytraffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ... 
Price of anarchy in noncooperative load balancing games
(20111231)We investigate the price of anarchy of a load balancing game with K dispatchers. The service rates and holding costs are assumed to depend on the server, and the service discipline is assumed to be processorsharing at ... 
Energyaware capacity scaling in virtualized environments with performance guarantees
(20111231)We investigate the tradeoff between performance and power consumption in servers hosting virtual machines running IT services. The performance behavior of such servers is modeled through Generalized Processor Sharing (GPS) ... 
Stability and asymptotic optimality of opportunistic schedulers in wireless systems
(20111231)We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service ... 
Optimal congestion control of TCP flows for internet routers
(20121231)In this work we address the problem of fast and fair transmission of flows in a router, which is a fundamental issue in networks like the Internet. We model the interaction between a TCP source and a bottleneck queue with ...