TAILIEUCHUNG - Simulation of machine interference in randomly changing environments

We specify a maximum number of stopped machines for an operating system and our aim is to give the main steady-state performance measures of the system, such as, server utilization, machine utilization, mean waiting times, mean response times, the probability of an operating system and the mean operating time of the system. | Yugoslav Journal of Operations Research 12 (2002), Number 2, 237-246 SIMULATION OF MACHINE INTERFERENCE IN RANDOMLY CHANGING ENVIRONMENTS J. SZTRIK Institute of Mathematics and Informatics University of Debrecen, Debrecen, Hungary jsztrik@ O. MŒLLER Department of Computer Science University of Trier, Trier, Germany moeller@ Abstract: The simulation tool lcpSim can be used to investigate special level crossing problems of queuing systems of type HYPOk / HYPOr / 1 / /n embedded in different Markovian environments (recently referred to as Markov modulated ones). Our observed system consists of n heterogeneous machines (requests) and a server that "repairs" the broken machines according to the most commonly used service disciplines, such as FIFO, LIFO, PPS, HOL, Preemptive Priorities (Resume, Repeat), Transfer, Polling, Nearest. We specify a maximum number of stopped machines for an operating system and our aim is to give the main steady-state performance measures of the system, such as, server utilization, machine utilization, mean waiting times, mean response times, the probability of an operating system and the mean operating time of the system. These values can be calculated by lcpSim level crossing problem Simulation package for different random environment types and service disciplines. Keywords: Machine interference, finite-source queuing, random environments, simulation, reliability theory. 1. INTRODUCTION Let us consider a system with n parallel running machines and a server. Each of the machines operates for a random time and then breaks down. When this happens, a request is sent to the server. Thus we have got a queuing system of a finite-source type originating from the so-called machine interference problem, that is why we use its terminology. However, this system has often been used for mathematical modeling 238 J. Sztrik, O. M–ller / Simulation of Machine Interference of different problems encountered in .

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