This paper deals with the optimal control of a finite capacity G/M/1 queueing system combined the F-policy and an exponential startup time before start allowing customers in the system. The F-policy queueing problem investigates the most common issue of controlling arrival to a queueing system. We provide a recursive method, using the supplementary variable technique and treating the supplement...

Abstract: This paper treats a discrete-time batch arrival queue with geometrically working vacations and vacation interruption. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive the probability generating function (PGF) of the stationary system length at the departure epochs based on the embedded Markov chain technique. Next, w...

We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary var...

This paper studies a G/M/1/K queueing system, where the server applies an N policy and takes a single vacation when the system is empty. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining inter-arrival time, to develop the steady-state probability distributions of the number of customers in the system. The method is...

This paper presents the analysis of a renewal input  finite buffer queue wherein the customers can decide either to  join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed  by an underlying $m$-state Markov chain. Employing the supplementary  variable and imbedded Markov chain techniques,   the steady-state system length distributions at pre...

We revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one involves the variation of the polynomials with respect to the variable z (spectral parameter) and the other a recurrence relation in n (the lattice variable). For the Jacobi weight w(x) = (1− x)(1 + x) , x ∈ [−1, 1], we s...

The supplementary material is divided into these sections. Section A details the design of stochastic power EP methods and presents relationships between SEP and SVI. Section B extends the discussion of distributed algorithms and SEP’s applicability to latent variable models. Section C provides experimental details of the Bayesian neural network experiments and presents further emprical evaluca...

In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...

a total of 250 mothers were interviewed in kashan health centers in 1995 to obtain information on their knowledge, attitude, and practice (k.a.p) regarding supplementary feeding (sf) of their 6-24 month old children. the k, a and p regarding the kind of the first sf. were desirable in 29.2%, 72.8% and 31.6% of the mothers respectively. the corresponding percentages for the time of introduction ...