A number of jobs are to be processed using a number of identical machines which operate in parallel. The processing times of the jobs are stochastic, but have known distributions which are stochastically ordered. A reward r(t) is acquired when a job is completed at time t. The function r(t) is assumed to be convex and decreasing in t. It is shown that within the class of non-preemptive scheduli...

in this paper, a 3d stochastic model has been presented to predict the coating thickness and porosity in a thermal spray coating process. different values of processing parameters were obtained. the model was developed on the basis of prescribed rules in calculating the splat size during the impact of individual droplets on the surface of the substrate. due to the thermal stresses produced duri...

The emergence of corona virus (COVID-19) has create a great public concern as the outbreak is still ongoing and government are taking actions such as holiday extension, travel restriction, temporary closure of public work place, borders, schools, quarantine/isolation, social distancing and so on. To mitigate the spread, we proposed and analyzed a stochastic model for the continue spread of coro...

The theory of univariate stochastic processes [1, 2] forms the backbone of the analysis and processing of single sensor data. Stochastic processes X(t) are parameterized by a single free variable t , which is a timelike variable. By performing some appropriate processing on samples from realizations of the process X(t), one hopes to be able to infer physical properties about the source of the s...

In this paper, a newsboy model is developed under uniformly distributed lead-time and demand that is an appropriate assumption in obtaining optimal relief inventory of humanitarian disasters. It is noteworthy that limited historical data are in hand on relief operations. Hence, analytical and approximate solutions for optimal relief order quan­tity were derived. The effect of lead-time uncertai...

i Zusammenfassung Diese Arbeit befasst sich mit dem Wechselspiel zwischen analoger und diskreter Welt. Die Umwandlung von zeitdiskreten in zeitkontinuierliche Signale ist essenziell, da Informationen heutzutage fast ausschließlich digital verarbeitet werden, während reale Signale analog sind. Neben der bandbegrenzten Interpolation wird die Rekonstruktion von bandbegrenzen Signalen anhand ihrer ...

the present research was planned to evaluate the skill of linear stochastic models known as arima and multiplicative seasonal autoregressive integrated moving average (sarima) model in the quantitative forecasting of the standard runoff index (sri) in karkheh basin. to this end, sri was computed in monthly and seasonal time scales in 10 hydrometric stations in 1974-75 to 2012-13 period of time ...

objective: because of functional impairment caused by generalized anxiety disorder and due to cognitive side ‎effects of many anti-anxiety agents, in this study we aimed to evaluate the influence of passion ‎flower standardized extract on reaction time in patients with generalized anxiety disorder.‎ method: thirty patients aged 18 to 50 years of age, who were diagnosed with generalized anxiety ...

In this paper, we consider the problem of scheduling a nite number of jobs with stochastic wait-dependent processing times. We review the literature on this topic and present some new results. In particular, for certain processing time functions, we nd the policy which stochastically minimizes the makespan of the system.

In this paper, we derive a parabolic partial differential equation for the expected exit time of non-autonomous time-periodic non-degenerate stochastic equations. This establishes Feynman–Kac duality between equations and solutions Casting solution as fixed point problem convex optimisation problem, give sufficient conditions in which is well-posed weak classical sense. With no known closed for...