(M/EK/C:C/FCFS) Queue with Two-Class Arrivals,State dependent service, Multi-Servers, and Customers Impatience

This paper deals with the finite Markovian queueing system with multi server facility, customer impatience and two types of arrivalswith heterogeneous arrival ratesalong withphase wise state dependent service. Arrival and departures assumed to be Poisson and exponential distributionsrespectively under first-come-first-serve basis. The service will be rendered in k-phases. Transient state probabilities as well as some performance indices have been calculated.We have presented the results of sensitivity analysis and observed the impact ofvarious parameters on system’s constants

(M/EK/C:C/FCFS) Queue with Two-Class Arrivals, State dependent service, Multi-Servers, and Customers Impatience

This paper deals with the finite Markovian queueing system with multi server facility, customer impatience and two types of arrivals with heterogeneous arrival rates along with phase wise state dependent service. Arrival and departures assumed to be Poisson and exponential distributions respectively under first-come-first-serve basis.  The service will be rendered in k-phases. Transient state probabilities as well as some performance indices have been calculated. We have presented the results of sensitivity analysis and observed the impact of various parameters on system’s constant

Transient analysis of a two-heterogeneous servers queue with impatient behavior

AbstractRecently, [1] have obtained the transient solution of multi-server queue with balking and reneging. In this paper, a similar technique is used to drive a new elegant explicit solution for a two heterogeneous servers queue with impatient behavior. In addition, steady-state probabilities of the system size are studied and some important performance measures are discussed for the considered system

Performance Analysis of an M/M/1 Queue with N-policy Interrupted Closedown Preventive Maintenance Balking and Feedback

This paper investigates the transient and stationary behavior of a M/M/1 queueing model with N-policy, interrupted closedown, balking, feedback and preventive maintenance. The server stays dormant (off state) until N customers accumulate in the queue and then starts an exhaustive service (on state). After the service, each customer may either leave the system or get immediate feedback. When the system becomes empty, the server resumes closedown. If any arrival occurs before the completion of closedown time, the closedown work of the server is interrupted and starts the busy period in an exhaustive manner. If no arrival occurs during the closedown time, the server commences preventive maintenance work. When this period ends, the server moves to the idle state and waits N accumulate for service. When the Nth one enters the queue, the server starts the service. The customers may either join the queue or balk when the size of the system is less than N and the server is in off state. The transient and stationary system size probabilities of the proposed model are derived by the method of generating function. Some system performance indices are computed and the numerical simulations are also presented

A transient solution to the M/M/c queuing model equation with balking and catastrophes

In this paper, we consider a Markovian multi-server queuing system with balking and catastrophes. The probability generating function technique along with the Bessel function properites is used to obtain a transient solution to the queuing model. The transient probabilities for the number of customers in the system are obtained explicitly. The expressions for the time-dependent expected number of customers in the system are also obtained. Finally, applications of the model are also discussed