The k-out-of-N structure is a popular type of redundancy in fault-tolerant systems with wide applications in computer and communication systems, and power transmission and distribution systems, among others, during the past several decades. In this paper, our interest is in such a reliability system with identical, repairable components having exponential life times, in which at least k out of ...

Apart from important but particular cases, such as state-dependent exponential distributions, for example, [1, 4] or an arbitrary repair time distribution [12], the reliability analysis of multiple cold standby systems is far from complete. We present a general reliability analysis of a basic multiple cold standby system attended by a single repairman, henceforth called a K-system. The K-system...

Abstract In this paper, we present an analysis for a general limited service Geom/G/1 queue model with multiple adaptive vacations (MAVs). The Probability Generating Function (P.G.F.) of the queue length is obtained by using an embedded Markov chain with a regeneration cycle approach. The P.G.F. of the waiting time is also derived based on the independence between the arrival process and the wa...

In this paper, we consider a polling system consisting of two-parallel queues and a single server under an (M, N)-threshold nonpreemptive priority service schedule. Two thresholds M and N (0 <: M < N) are set up in one of two queues, say, the second queue. At each epoch of service completion, the server decides which queue is to be served next according to the control level reached by the numbe...

We propose a new queueing model named the acquisition queue. It differs from conventional queueing models in that the server not only serves customers, but also performs acquisition of new customers. The server has to divide its energy between both activities. The number of newly acquired customers is uncertain, and the effect of the server’s acquisition efforts can only be seen after some fixe...

We address the problem of designing optimal bu er management policies in shared memory switches when packets already accepted in the switch can be dropped pushed out Our goal is to maximize the overall throughput or equivalently to minimize the overall loss probability in the system For a system with two output ports we prove that the optimal policy is of push out with threshold type POT The sa...

This paper studies a fluid queue with coupled input and output. Flows arrive according to a Poisson process, and when n flows are present, each of them transmits traffic into the queue at a rate c/(n + 1), where the remaining c/(n + 1) is used to serve the queue. We assume exponentially distributed flow sizes, so that the queue under consideration can be regarded as a system with Markov fluid i...

In this paper the two identical unit cold standby systems with single repairman has been discussed.The concept of inspection policy has also been introduced for detecting the kind of failures (major or minor) before the failed unit get repaired by some repair mechanism.The model has been design for the system to calculate the various important measures of reliability i.e MTSF, steady state avai...

In this paper, we analyze a repair shop serving several fleets of machines that fail from time to time. To reduce downtime costs, a continuous-review spare machine inventory is kept for each fleet. A spare machine, if available on stock, is installed instantaneously in place of a broken machine. When a repaired machine is returned from the repair shop, it is placed in inventory for future use i...