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We analyze the problem of dynamic pricing for inventory systems with price-sensitive demand, which is assumed to follow a continuous-time, continuous-state stochastic process. An analytical solution for a special case of the demand is provided. We propose a simulation-based method for solving the pricing problem under a broad range of demand models, assuming a finite number of price changes over the...
In present paper, we investigate a class of stochastic differential delay equations with Poisson jump and Markovian switching. Constructing discrete approximate solution and continuous approximate solution by means of Euler-Maruyama scheme, we show the numerical solution converges to the true solution of stochastic differential delay equations with Poisson jump and Markovian switching in the sense...
This paper applies the theory of stochastic processes to quantitatively study the dynamical behavior of mass mind under the influence of "group pressure" quantified by a submissive parameter. A finite state irreducible Markov chain whose transition probability matrix depends on the submissive parameter is introduced to describe the composition and evolution of mass attitudes. The microstructure...
The discrete-state continuous-time processes occurring in binding and release of analytes in affinity-based biosensors are formulated using stochastic differential equations (SDEs). The Fokker Planck (FP) equation is used to solve for the governing probability density function (pdf) of the number of captured analytes. A derivation method from the Markovian Master equation to the Fokker Planck equation...
This work focuses on a class of distributed storage systems whose content may evolve over time. Each component or node of the storage system is mobile and the set of all nodes forms a delay tolerant (ad hoc) network (DTN). The goal of the paper is to study efficient ways for distributing evolving files within DTNs and for managing dynamically their content. We specify to dynamic files where not only...
Link-based ranking has contributed significantly to the success of Web search. PageRank and HITS are the best known link-based ranking algorithms. These algorithms do not consider an important dimension, the temporal dimension. They favor older pages because these pages have many in-links accumulated over time. Bringing new and quality pages to the users is important because most users want the latest...
We study stochastic games with a large number of players, where players are coupled via their payoff functions. A standard solution concept for stochastic games is Markov perfect equilibrium (MPE). In MPE, each player's strategy is a function of its own state as well as the state of other players. This makes MPE computationally prohibitive as the number of players becomes large. An approximate solution...
We analyze the average-case behaviour of the Next-Fit algorithm for bin-packing, and obtain closed-form expressions for distributions of interest. Our analysis is based on a novel technique of partitioning the interval (0, 1) suitably and then formulating the problem as a matrix-differential equation. We compare our analytic results with previously known simulation results and show that there is an...
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