In this paper, a manufacturing system composed by a single machine, a buffer and a stochastic demand is considered. Two models are presented: continuous and discrete flow models with delivery times, machine failures and random demands. The objective is to determine the value of the optimal buffer level, for a hedging point policy to minimize the cost function. This cost function is the sum of i...

This article presents the analysis of a finite buffer M/M/1 queue with multiple and single working vacations. The arriving customers balk (that is do not join the queue) with a probability and renege (that is leave the queue after joining) according to exponential distribution. The inter-arrival times, service times during a regular service period, service times during a vacation period and vac...

Abstract: In this article, we consider a continuous review inventory system with Markovian demand. The operating policy is ( , ) s S policy, that is, the maximum inventory level is and whenever the inventory level drops to S , s an order for units is placed. The ordered items are received after a random time which is assumed to be exponential distribution. The server goes for a vacation of an e...

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 consider a single-server vacation queueing system that operates in the following manner. When the server returns from a vacation, it observes the following rule. If there is at least one customer in the system, the server commences service and serves exhaustively before taking another vacation. If the server finds the system empty, it waits a fixed time c. At the expiration of this time, the...

In this report we consider a failure prone, single machine, single part-type, manufacturing system subject to a non-homogeneous Markov failure/repair process with the failure rate depending on the production rate through a two-value function. The problem is to minimize a long term average expected cost function which penalizes both the presence of waiting customers both a finite inventory surpl...

In this paper, we considered a batch arrival feedback retrial queue with two phase of service under Bernoulli vacation schedule and orbit search. At the arrival epoch of a batch, if the server is busy, under repair or on vacation then the whole batch joins the orbit. Where as if the server is free, then one of the arriving customers starts his service immediately and the rest join the orbit. At...

This paper deals with the steady state behaviour of an Mx/G/1 queuing system with two different vacation periods under multiple vacation policy, where length of the first vacation is different from the rest of the vacations. We are concerned with the distribution of the queue size at busy period initiation epoch and distribution of the unfinished work. Further, we present a simple transform fre...

This paper presents an overview of high-order implicit time integration methods and their associated properties with a specific focus on their application to computational fluid dynamics. A framework is constructed for the development and optimization of general implicit time integration methods, specifically including linear multistep, Runge-Kutta, and multistep Runge-Kutta methods. The analys...

In this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, with customized PM (2D PM) is proposed from the manufacturer’s perspective to reduce cost. The cost of 2D derived. tradeoff between and minimal repair saving obtained choosing proper reliability threshold number PMs, advantage illustrated. Second, post-warranty period, bivariate (BPWM) policy consu...