Transient Analysis of Chemical Queue with Catastrophes and Server Repair

In this paper we deduced explicitly expressions for the transient state distribution for a queueing problem having chemical rules with arbitrary number of customers present initially in the system, in addition to having the possibility of catastrophe and hence system repair. Our calculations based on using generating function and Laplace transformation techniques, the obtained solution of the probabilities distribution enables us to recover the well known formula and other cases such as the transient solution of the standard M/M/1/∞ queue with λ = μ. Finally, the theory is underpinned by numerical results

Transient Analysis of Two- Class Priority Queuing System

A transient solution of Two-class priority queuing system was discussed in this paper, the first class with high priority and the second one with low priority and the capacity of the system is infinite. Various performance measures are examined. Some numerical analyses are discussed and some special cases are deduced and confirmed the results

Performance analysis of priority queueing systems in discrete time

The integration of different types of traffic in packet-based networks spawns the need for traffic differentiation. In this tutorial paper, we present some analytical techniques to tackle discrete-time queueing systems with priority scheduling. We investigate both preemptive (resume and repeat) and non-preemptive priority scheduling disciplines. Two classes of traffic are considered, high-priority and low-priority traffic, which both generate variable-length packets. A probability generating functions approach leads to performance measures such as moments of system contents and packet delays of both classes

Transient Analysis of Markovian Queueing System with Balking and Reneging Subject to Catastrophes and Server Failures

In this paper, we present an analysis of the transient and steady states of the infinite Markovian queueing system where both reneging and balking are defined and the system may be entered under catastrophes and server failures repair. Moreover, some other special cases are shown as special case of our new result

Performa

This paper presents an experimental investigation on the behavior and strength of reinforced concrete slabs with lap splice of tension reinforcement using headed bars. Nine simply supported reinforced concrete one-way slabs were tested to study the effect of lap splices length, confinement at the splice zone, debonding of bars in the splice zone, and applying repeated gradually increasing cyclic loading. It was concluded that implementation of lap splice length as stated by ACI 318-14 for headed bars, but without adding confinement in the splice zone, and using cut-off ratio equal to 100%, led to brittle failure of the slab and the ductility was reduced. When the tested slabs were provided with confinement in the splice zone, the strength of slabs was improved and ductility of these slabs was remarkably increased. Additionally, the integrity of the lap joint was preserved when subjected to repeated gradually increasing cyclic loading