We investigate the impact of switching penalties on the nature of optimal scheduling policies for systems of parallel queues without arrivals. We study two types of switching penalties incurred when switching between queues: lump sum costs and time delays. Under the assumption that the service periods of jobs in a given queue possess the same distribution, we derive an index rule that deenes an...

In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.

The purpose of this paper is to study optimality of circular neighborbalanced block designs when neighbor effects are present in the model. In the literature many optimality results are established for direct effects and neighbor effects separately, but few for total effects, that is, the sum of direct effect of treatment and relevant neighbor effects. We show that circular neighbor-balanced de...

Consider the following sequential sampling problem: at each time, a choice must be made between obtaining an independent sample from one of a set of random reward variables or stopping the sampling. Sampling a random variable incurs a random cost at each time. The objective of the problem is to maximize the expected net difference between the largest sample reward obtained before stopping and t...

water is a unique natural resource among all sources available on earth. it plays an important role in economic development and the general well-being of the country. this study aimed at using the application of water quality index in evaluating the ground water quality innorth-east area of jaipur in pre and post monsoon for public usage. total eleven physico–chemical characteristics; total dis...

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate functions based on random sampling according to a given probability measure. Recent work has shown that in the univariate case and for the uniform distribution, the least-squares method is optimal in expectation in [1] and in probability in [7]...

It has been known that the insufficiency of linear coding in achieving optimal rate general index problem is rooted its rate’s dependency on field size. However, this described only through two well-known matroid instances, namely Fano and non-Fano matroids, which, turn, limits scope to fields with characteristic two. In paper, we extend demonstrate reliance three. By constructing instances siz...

this paper provides an optimality-theoretic account of dissimilation in standard persian as well as some other accents and dialects of persian. as such, this work starts by introducing optimality theory (henceforth ot) and its basic concepts and then it investigates dissimilation in this framework. it argues for the superiority of ot over derivational approaches regarding a case in which both d...

In this paper we design, characterize in closed-form, and evaluate a new index rule for Markovian time-varying channels, which gives rise to a simple opportunistic scheduling rule for flow-level scheduling in wireless downlink systems. For user channels we employ the Gilbert-Elliot model with a flow-level interpretation: the channel condition follows a general two-state Markov chain with distin...