Roland P. Malhamé
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Classical mean field games (MFG) have been concerned with large games amongst symmetrically influential agents with asymptotically negligible weight. In th...
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This paper develops a strategy, using concepts from Mean Field Games, to coordinate the charging of a large population of battery electric vehicles (BEVs...
BibTeX referenceIdentification of hot water end-use process of electric water heaters from energy measurements
This paper presents an algorithm for the identification of parameters for a stochastic hot water end-use process that drives a homogeneous population of ther...
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While one can exploit the storage properties and thus the deferability or anticipation potential of many classes of power system loads (such as thermal loads...
BibTeX referenceDynamic marketing policies with online-review-sensitive consumers: A mean-field games approach
We consider a large group of consumers who can choose between two products at each purchasing occasion. Their choice is influenced by the marketing strateg...
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Intermittent renewable energy, such as solar and wind, brings uncertainty into the grid. To increase their contribution into the energy mix, load management ...
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We consider a class of dynamic collective choice models with social interactions, whereby a large number of non-uniform agents have to individually settle ...
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We consider a dynamic game model of ride-sourcing, where a large number of private car owners provide rides to randomly appearing customers. Free drivers c...
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The object of study in the recent theory of Mean Field Games has been primarily large populations of agents interacting through a population dependent coupli...
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This paper deals with a family of dynamic game models that represent schematically the interaction between groups of countries in achieving the necessary lim...
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We consider within the framework of Mean Field Games theory a dynamic discrete choice model with an advertiser, where a large number of minor agents (e.g., c...
BibTeX referenceDynamic collective choice: Social optima
We consider a dynamic collective choice problem where a large number of players are cooperatively choosing between multiple destinations while being influenc...
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Inspired by successful biological collective decision mechanisms such as honey bees searching for a new colony or the collective navigation of fish schoo...
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We consider a multi-agent system with linear stochastic individual dynamics, and individual linear quadratic ergodic cost functions. The agents partially o...
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Pressure on ancillary reserves in power systems has significantly mounted due to the recent generalized increase of the fraction of (highly fluctuating) wi...
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Studies of traffic dynamics rely either on macroscopic models considering the traffic as a fluid, or on microscopic models of drivers' behavior. The connec...
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This paper considers inventory models of <i>(Q,s)</i> type with <i>Q</i> the order-quantity and <i>s</i> the order point. In general, an optimal choice of c...
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Unconditional consensus is the property of a consensus algorithm for multiple agents, to produce consensus irrespective of the particular time or state at wh...
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We consider a fluid model of an unreliable production line consisting of <i>n</i> machines and <i>n</i> fixed buffer sizes. These machines produce a single p...
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The paper addresses the optimal production control problems for an unreliable manufacturing system that produces items that can be regarded as conforming or ...
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Optimization of single machine, single part-type dedicated Kanban policies in multi-part transfer lines with unreliable machines is considered. At each prod...
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The computational intractability of the dynamic programming (DP) equations associated with optimal admission and routing in stochastic loss networks of any n...
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This chapter deals with an application of stochastic control or stochastic game methods to the design of optimal timing of climate policies. In the first par...
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We develop an approximate analysis of an arbitrary size homogeneous unreliable transfer line under a CONWIP discipline. Mean total work in process computatio...
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A stochastic control model is proposed as a paradigm for the design of optimal timing of greenhouse gases (GHG) emissions abatement. The resolution of unce...
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In Z. Ma, P.E. Caines, and R.P. Malhamé, ``Control of Loss Network Systems: Call Admission and Routing Control", (submitted to <i>SIAM J. Control...
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In this paper the call admission control (CAC) and routing control (RC) problems for loss network systems are studied as optimal stochastic control (OSC) pr...
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We consider stochastic dynamic games in large population conditions where multiclass agents are weakly coupled via their individual dynamics and costs. We a...
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In this paper, the problem of optimally controlling production in a single part unreliable, manufacturing flow line, subjected to a constant rate of demand ...
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This paper presents an analysis of the forward link capacity of a cellular network, based on IS-95 CDMA technology. The forward link, or downlink, refers to...
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A combinatorial approach is used to derive asymptotic expressions for arbitrary moments of cumulative vector processes, as the time horizon goes to infinity...
BibTeX referenceOptimization of a Class of Decentralized Hedging Policies in a Stochastic Two-Machine Flow Shop
This paper deals with the optimal production control problem in a stochastic two-machine flow shop. Our aim is to develop approximation techniques for deriv...
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Optimal control problems for linear stochastic continuous time systems are considered, where the time domain is decomposed into a finite set of <i>N</i> dis...
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In this paper, we study the moments of cumulative processes. More specifically, we will evaluate explicitly the expectation of a product of <i>n</i> distinc...
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A combinatorial approach is used to derive asymptotic expressions for arbitrary moments of cumulative vector renewal reward processes, as the time horizon <...
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In this paper, we define expected reachability and reachable set for the class of piecewise linear deterministic systems. We develop formulas for calculatin...
BibTeX referenceCriteria for the Ergodicity of Hedging Point Control Policies in Single Part Manufacturing Systems
The Markov renewal viewpoint of single part manufacturing systems under hedging point control policies, subjected to a constant demand for parts rate, is us...
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The transient statistical evolution of a single product manufacturing system under hedging point control policies is characterized via a system of coupled p...
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