This paper provides steady state queue-size distribution for a G/G/1 queue by using principle of maximum entropy. For this purpose we have used average queue length and normalizing condition as constraints to derive queue-size distribution. Our results give good approximation as demonstrated by taking a numerical illustration. In particular case when square coefficient of variation of inter-arr...

We study the asymptotic behavior of kinetic free-transport equation enclosed in a regular domain, on which no symmetry assumption is made, with Cercignani–Lampis boundary condition. give first proof existence steady state case where temperature at wall varies, and derive optimal rate convergence toward it, L1 norm. The strategy an application deterministic version Harris’ subgeometric theorem, ...

background: functional electrical stimulation (fes) is the most commonly used system for restoring functions after spinal cord injury (sci). objective: in this study we investigated feedback pid and feedforward-feedback p-pid controllers for regulating the elbow joint angle. methods: the controllers were tuned based on a nonlinear muculoskeletal model containing two links, one joint with one de...

operability analysis as one of the most important bridges between process design and process control helps the process designer to investigate the control issues quite early in the design stage. recently, vinson and georgakis suggested a steady state geometrical operability index as a quantitative measure for assessment of process operability. in this paper, dme fixed-bed reactor is heterogeneo...

We investigate a mathematical aspect of a multi-species' sessile metapopulation model with space-limited recruitment proposed by Iwasa et al. in 1986. We define some basic reproduction numbers to show the threshold condition for the stability of trivial steady state and the existence of coexistent steady state. We show the existence of steady state where all species exist when some reproduction...

Motivated by a phenomenon of phase transition in a model of alignment of selfpropelled particles, we obtain a kinetic mean-field equation which is nothing more than the Smoluchowski equation on the sphere with dipolar potential. In this self-contained article, using only basic tools, we analyze the dynamics of this equation in any dimension. We first prove global wellposedness of this equation,...

Using a model of nonlinear decay of the stock pollutant, and starting from the same initial conditions, the paper shows that an optimal tax that corrects for both stock and ßow externalities may result in a lower tax, fewer cumulative emissions (less decay) and higher output at the steady state than a corrective tax that ignores the ßow externality. The “more is less” result emphasizes that set...