TAILIEUCHUNG - The optimal control in batch arrival queue with server vacations, startup and breakdowns

This paper studies the N policy M[x]/G/1 queue with server vacations, startup and breakdowns, where arrivals form a compound Poisson process and service times are generally distributed. The server is turned off and takes a vacation whenever the system is empty. | Yugoslav Journal of Operations Research 14 (2004), Number 1, 41-55 THE OPTIMAL CONTROL IN BATCH ARRIVAL QUEUE WITH SERVER VACATIONS, STARTUP AND BREAKDOWNS Jau-CHUAN KE* National Taichung Institute of Technology Taichung 404, Taiwan, . Received: January 2003 / Accepted: January 2004 Abstract: This paper studies the N policy M[x]/G/1 queue with server vacations; startup and breakdowns, where arrivals form a compound Poisson process and service times are generally distributed. The server is turned off and takes a vacation whenever the system is empty. If the number of customers waiting in the system at the instant of a vacation completion is less than N, the server will take another vacation. If the server returns from a vacation and finds at least N customers in the system, he is immediately turned on and requires a startup time before providing the service until the system is empty again. It is assumed that the server breaks down according to a Poisson process whose repair time has a general distribution. The system characteristics of such a model are analyzed and the total expected cost function per unit time is developed to determine the optimal threshold of N at a minimum cost. Keywords: Breakdowns, cost model, queue, startup, vacation. 1. INTRODUCTION We consider an M[x]/G/1 queuing system in which the server operates N policy and is typically a subject to unpredictable breakdowns. The server leaves for a vacation of random length whenever the system becomes empty. At the end of a vacation, the server inspects the system and decides whether to take a vacation, or to take a general startup time. The server immediately starts serving the waiting customers whenever he completes his startup. * Jau-Chuan Ke. Email: jauchuan@. Postal address: Department of Statistics, National Taichung Institute of Technology, No. 129, Sec. 3, Sanmin Rd., Taichung 404, Taiwan, . 42 . Ke / The Optimal Control in Batch Arrival Queue Queuing systems with

• Cơ khí - Chế tạo máy
• Cost model
• Poisson process
• General distribution
• Cost function
• Optimal threshold
• Nuclear engineering and technology
• Statistical model for forecasting uranium prices
• Estimate the nuclear fuel cycle cost
• Nuclear Fuel Cycle Cost
• Nuclear fuel cycle cost calculation
• The statistical autoregressive integrated moving average
• The cost benefit model
• The BIBB cost benefit model
• The cost benefit study in Vietnam
• The vocational education sector
• Improving the cooperation between vocational training institutes and firms
• Nuclear fuel cycle cost estimation
• Sensitivity analysis of unit costs
• The basis of an equilibrium model
• Pyro SFR fuel cycle
• The deterministic method
• Listed banks
• Cost efficiency
• Data envelopment analysis
• Cost efficiency model
• China’s bank
• Cost of conformance
• Cost of non conformance
• Costs of quality
• Mathematical model for crashing project
• Project risk management
• Information Sciences
• Large scale group decision making
• The minimum cost model
• Robust optimization
• Consensus model
• Social network
• Systemic problem
• Bank failure
• Predictive model
• Accumulated cost
• Systemic cost of bank
• Electronic Engineering
• Transmission and distribution price
• Long term marginal cost
• Average incremental cost
• Voltage classes
• Activity Based Costing Model
• Cost Academic Programs
• thesis
• internship reports
• project course
• graduate thesis
• A Cognitive Cost Model
• Annotations Based on Eye Tracking Data
• Katrin Tomanek
• báo cáo khoa học
• báo cáo ngôn ngữ
• ngôn ngữ tự nhiên
• Cost of equity
• Cost of capital
• Competitive advantage period
• Capital asset pricing model
• Empirical analysis
• Management by Exception
• Capability Maturity Model Integration
• Constructive Cost Model II
• Cost Performance Index
• Functional Point Analysis
• Cost of HIV testing
• Five district health facilities intervented poct model
• Confirmation HIV detected
• Programs on HIV
• HIV confirmatory testing
• Cost models of additive manufacturing
• A literature review
• Additive manufacturing cost model
• Discusses the strengths
• Focus more on managerial facets
• Construction cost index
• Artificial neural network
• Particle swarm optimization
• Cross validation method
• Hybrid model
• Crude oil price
• GARCH model
• Volatility crude oil price
• Accurate estimated model
• Reduce the cost of oil use
• Inventory model
• Deteriorating item
• Partially backlogged
• Replenishment policy
• Opportunity cost
• Shortage cost
• Cost accounting model
• Value chain based
• Digital space contributes
• The motivation
• Develop sustainably
• Consignment inventory simulation model for single vendor multi buyers
• Consignment inventory simulation model
• Single vendor multi buyers
• Consignment stock inventory model
• Joint total economic cost
• Non instantaneous deteriorating items
• Controllable deterioration rate
• Preservation technology
• Time dependent holding cost
• Deteriorating inventory models
• Ramp type demand
• Constant deterioration
• Unit production cost
• Without shortage
• Inventory system
• Defective items
• Setup cost
• Lead time
• Minimax distribution free procedure
• Algorithm procedure
• Modified genetic algorithm for time
• Cost optimization of an additive manufacturing single machine scheduling
• Additive manufacturing single machine scheduling
• Direct Metal Laser Sintering
• 3D model data
• Live work
• Maintenance cost
• Fuzzy logic
• Decision aid