Consider a two-server, ordered entry, queuing system with heterogeneous servers and finite waiting rooms in front of the servers. Service times are negative exponentially distributed. The arrival process is deterministic. A matrix solution for the steady state probabilities of the number of customers in the system is derived. The overflow probability will be used to formulate the stability cond...

This paper investigates a discrete-time impatient customer queue with Bernoullischedule vacation interruption. The vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. We obtain the steady-state probabilities at arbitrary and outside observer’s observation epochs using recursive technique. Cost analysis ...

    Discrete facility location,   Distribution center,   Logistics,   Inventory policy,   Queueing theory,   Markov processes, The distribution center location problem is a crucial question for logistics decision makers. The optimization of these decisions needs careful attention to the fixed facility costs, inventory costs, transportation costs and customer responsiveness. In this paper we stu...

ABSTRACT:In this paper, we study a Markovian queueing model with balking for buffer sharing in ATM. It is assumed that server provides service with priorities termed as first, second and third. As soon as system accumulates L+1, M+1 customers third and second priority customers balk with balking function bn. We have obtained the steady state probabilities for the system by recursive method. Som...

In this paper, we investigate a sequential test for binary hypothesis testing for stationary, first-order Markov dependent observations in steady state. Wald’s first and second lemmas are generalized. For a Markov chain with symmetric transition probability matrix the average sample number required by the test to decide a hypothesis is derived. Numerical analysis shows that accounting for a pos...

Markov reliability model of a system, operating in random environment is introduced and investigated. The model is described by multidimensional Markov process with block-wise in nitesimal matrix. Algorithms for calculation of time-dependent and steady state probabilities as well as Quality of Service (QoS) characteristics of the system based on this special form of in nitesimal matrix are give...

We propose a thermodynamic formalism that is expected to apply to a large class of nonequilibrium steady states including a heat conducting fluid, a sheared fluid, and an electrically conducting fluid. We call our theory steady state thermodynamics (SST) after Oono and Paniconi’s original proposal. The construction of SST is based on a careful examination of how the basic notions in thermodynam...

This paper provides a briefdescription ofthe rationale behind steady-state modelling, and ofthe implementation ofthe ECOPATH II software system, a system for straightforward construction, parametrization, and balancing of steady-state trophic models of(aquatic) ecosystems. ECOPATH II is written for MS DOS computers and is available as a public domain software from the ICLARM Software Project. E...

A major upgrade of the Tore Supra heat and particle exhaust capability, known as the CIEL project [P. Garin et al.,this conference] and installed during the year 2000 shutdown, will raise the heat exhaust capability to 25 MW (convected + radiated) steady-state, and the pumping capability to -4 Fa.m3/s, and will allow Tore Supra to investigate high power steady-state plasma operation, with targe...

Modern cosmology began with the realization that there were solutions to Einstein’s theory of gravity discovered by Friedmann and Lemaitre which when combined with the redshift distance relation of Hubble and others could be interpreted as showing that we live in an expanding universe. It was then only elementary logic to argue that if time reversal was applied, the universe must originally hav...