Vijaya Laxmi Pikkala Articles List

List of Articles Vijaya Laxmi Pikkala

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1 - Perishable Inventory Model with Retrial Demands, Negative Customers and Multiple Working Vacations
Vijaya Laxmi Pikkala Soujanya M.L.

This paper presents the analysis of a continuous review perishable inventory system wherein the life time of each item follows an exponential distribution. The operating policy is (s,S) policy where the ordered items are received after a random time which follows expone More

This paper presents the analysis of a continuous review perishable inventory system wherein the life time of each item follows an exponential distribution. The operating policy is (s,S) policy where the ordered items are received after a random time which follows exponential distribution. Primary arrival follows Poisson distribution and they may turnout to be positive or negative and then enter into the orbit. The orbiting demands compete their service according to exponential distribution. The server takes multiple working vacations at zero inventory. We assume that the vacation time, service times both during regular busy period and vacation period are exponentially distributed. Matrix analytic method is used for the steady state distribution of the model. Various performance measures and cost analysis are shown with numerical results. Manuscript profile
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2 - Transient Solution of an M/M/1 Variant Working Vacation Queue with Balking
Vijaya Laxmi Pikkala Rajesh Pilla

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $\bar{b} = 1-b$. As soon as the system becomes empty, the server t More

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $\bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed to be exponentially distributed and are mutually independent. We have obtained the transient-state probabilities in terms of modified Bessel function of the first kind by employing probability generating function, continued fractions and Laplace transform. In addition, we have also obtained some other performance measures. Manuscript profile
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3 - A Study on State Dependent Accessible and Second Optional Service Queue with Impatient and Feedback Customers
Vijaya Laxmi Pikkala Girija Bhavani Edadasari

In this paper, we study a single server Markovian queue with state dependent accessible services, reneging and feedback of customers. The server can accommodate at the most $d$ customers in the service station, after which the new arrivals have to wait in the primary qu More

In this paper, we study a single server Markovian queue with state dependent accessible services, reneging and feedback of customers. The server can accommodate at the most $d$ customers in the service station, after which the new arrivals have to wait in the primary queue of infinite waiting space. All arrivals demand First Essential Service (FES), after completing FES, customers decide to join the second optional Service (SOS) with a probability. The services occur singly according to first come first served service discipline and service times in FES and SOS are exponentially distributed. A customer waiting in the primary queue may get impatient and renege from the queue. However, after completing SOS, if the customer is not satisfied with the service quality, he may join the queue again (feedback). The system is analyzed by a quasi birth-death process and the steady state probabilities of the model are obtained using matrix geometric method. Some performance measures and numerical illustrations are also provided. An optimization of the cost function is performed to find the optimal service rate that minimizes the total cost. Manuscript profile
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4 - Discrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers‎
Vijaya Laxmi Pikkala Wondewosen Kassahun
20.1001.1.22286225.2019.9.1.1.4

This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service tim More

This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customers waiting for service are subject to reneging and the reneging times are also assumed to be geometrically distributed. The explicit expressions for the steady-state probabilities are obtained recursively from the difference equations that represent the model. Closed form expressions of the system size are also derived both during regular busy period and during $WV$. In addition, we obtain some other performance measures and a cost model is formulated to determine the optimal service rate during working vacation. Manuscript profile
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5 - Bat Algorithm for Optimal Service Parameters in an Impatient Customer N-Policy Vacation Queue
Vijaya Laxmi Pikkala
20.1001.1.22286225.2019.9.2.3.8

In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue withN policy, multiple working vacations and Bernoulli schedule vacation i More

In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue withN policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the queue is studied using the matrix geometric method. Simulations show that the proposed algorithm seems much superior to other algorithms. Manuscript profile

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List of Articles Vijaya Laxmi Pikkala