Jau-Chuan Ke, Chia-Huang Wu and Zhe George Zhang Department of Applied Statistics National Taichung University of Science and Technology, Taichung, Taiwan Department of Industrial Engineering and Management National Chiao Tung University, Hsinchu, Taiwan Department of Decision Science, College of Business and Economics Western Washington University, Bellingham, WA 98225-9077, USA (Received Octo...

Abstract In this paper, a new discrete-time GeomX /G/1 queue model with multiple vacations is analyzed. The Probability Generating Function (P.G.F.) of the queue length is obtained by using the method of an embedded Markov chain, and the mean of the queue length is obtained by using L’Hospital rule. Then the P.G.F. of the busy period is derived, and the probabilities for the system being in a b...

This article presents a perishable inventory system under continuous review at a service facility in which a waiting area for customers is of finite size M. We assume that the replenishment of inventory is instantaneous. The items of inventory have exponential life times. It is assumed that demand for the commodity is of unit size. The arrivals of customers to the service station form a Poisson...

In this paper, we investigate the power management of mobile devices, using a variant of an M/G/1 queue with probabilistic inhomogeneous multiple vacations and generalized service process. Under the vacation scheme, at the end of a vacation the server goes on another vacation, with a different probability distribution, if during the previous vacation there have been no arrivals. The modified va...

We study the functionals of a Poisson marked process Π observed by a renewal process. A sequence of observations continues until Π crosses some fixed level at one of the observation epochs (the first passage time). In various stochastic models applications (such as queueing with N-policy combined with multiple vacations), it is necessary to operate with the value of Π prior to the first passage...

Abstract Here a two-state batch arrivals and batch service Markovian queue with server vacation model has been taken into consideration for its mathematical modelling and performance analysis under transient state. The present Markovian queueing model considers a single server with multiple vacations and both arrivals and services in batches of variable size. Arriving customers are processed by...

In this paper the information theoretic principle of Maximum Entropy (ME) is applied, as a method of inference, towards the study of the M/G/1 queueing model at equilibrium with either single or multiple server vacation periods under both exhaustive and non-exhaustive scheduling schemes. An analytic ME approximation for the characterisation of a universal form for the queue length distribution ...