Queueing Analysis: Finite Systems

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Product Details

  • ISBN-13: 9780444816146
  • Publisher: Elsevier Science & Technology Books
  • Publication date: 1/28/1993
  • Pages: 546

Table of Contents

M/G/1/N. Queue Size. Performance measures. Queue size at service completion times. Queue size at an arbitrary time. Output and quasi-input processes. Message-dependent process. Waiting Time. Queue size and elapsed service time. Unfinished work. Arrival time probabilities. Waiting time in the FCFS system. Waiting time in the ROS system. Time-Dependent Processes. Queue size and elapsed service time. Queue size. Equivalence with Takács's and Jaiswal's results. Queue size and remaining service time. Steady-state limits. Busy Periods. Length of a busy period. Number of messages served in a busy period. Delay cycle. Waiting time in the LCFS system. Exceptional service for the first message in a busy period. Restoration-time model. Busy period process. Systems with Vacations I. Models and performance measures. Multiple vacation model. Systems with Vacations II. Single vacation model. System with setup times. System with exceptional first service. Heterogeneous Systems. Individual message model. Nonpreemptive priority system. FCFS system. Multiple finite-source model. Single finite-source model. References. M/G/1/K. Systems without Vacations I. Queue size. Waiting time and unfinished work. Busy periods. Busy period process. Systems without Vacations II. LCFS and ROS Systems. Output, quasi-input and overflow processes. M/G/m/m loss system. Pushout models. M/G/1/K with resume level. Systems with Vacations and Exhaustive Service. Multiple vacation model. Single vacation model. Courtois's solution. N-policy and setup times. Exceptional first service time. Systems with Vacations and E-Limited Service. Multiple vacation model. Single vacation model. N-policy and setup times. Systemswith Vacations and Other Limited Service. G-limited service systems. Multiple vacation model. Single vacation model. N-policy and setup times. P-limited exhaustive service systems. P-limited gated service systems. Batch Arrival Systems without Vacations. Partial acceptance model. Total acceptance model. Total rejection model. Batch Arrival Systems with Vacations. Partial acceptance model. Total acceptance model. Total rejection model. Finite Population Systems. M/G/1/K/N. M/G/1/K/N with vacations. M/G/m/m/N loss system. References. Glossary of Notation. Subject Index. Author Index.
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