The study of unreliable server retrial bulk queue with multiphase optional service is analyzed by incorporating the features balking, Bernoulli vacation and feedback. On occasion when occupied customers, an arriving customer finding long queue, can join orbit receives its later on making re-attempt. system reinforced multi phase along essential joining opt any one services after getting service...

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

This paper focuses on determining the optimal pricing strategy for a service providing firm with multiple facilities. The market is involved with some other competing firms providing the same service. The firm and its competitors might devise three different pricing policies as uniform mill pricing, distinct mill pricing and delivered pricing. Customers choose the facilities probabilistically b...

In many real life queueing systems, customer balk from the queue but the environment is aware of it only at their times to be served. Naturally, the balking is an outcome of the queue length, and the decision is based on a threshold. Yet, the inspected queue length contains customers who balked In this work, we consider a Markovian queue with infinite capacity with homogeneous customers with re...

We present a new performance model for a prioritized optical burst switch architecture employing fiber delay lines (FDLs) as optical buffers to reduce the burst loss probability. The performance of such an architecture cannot be captured accurately using traditional queueing models since FDLs behave fundamentally differently from conventional electronic buffers. We formulate a Markovian model t...

This paper employs sample path arguments to derive the following convexity properties and comparative statics for an M/M/S queue with impatient customers. If the rate at which customers balk and renege is an increasing, concave function of the number of customers in the system (head-count), then the head-count process and the expected rate of lost sales are decreasing and convex in the capacity...

This paper studies the performance impact of making delay announcements to arriving customers who must wait before starting service in a many-server queue with customer abandonment. The queue is assumed to be invisible to waiting customers, as in most customer contact centers, when contact is made by telephone, email or instant messaging. Customers who must wait are told upon arrival either the...

This paper models a call center as a Markovian queue with multiple servers, where customer balking, impatience, and retrials are modeled explicitly. The resulting queue is analyzed both in a stationary and non-stationary setting. For the stationary setting a fluid approximation is proposed, which overcomes the computational burden of the continuous time markov chain analysis, and which is shown...