Operations Research

  1. Queueing Theory
    1. Structure of Queueing Systems
      1. System Components
        1. Arrival Process
          1. Service Mechanism
            1. Queue Discipline
              1. System Capacity
                1. Customer Population
                2. Performance Measures
                  1. Queue Length
                    1. Waiting Time
                      1. System Utilization
                        1. Throughput
                      2. Kendall's Notation
                        1. Arrival Process Notation
                          1. Service Process Notation
                            1. Number of Servers
                              1. System Capacity
                                1. Population Size
                                  1. Queue Discipline
                                  2. Poisson Arrival Process
                                    1. Properties of Poisson Process
                                      1. Interarrival Time Distribution
                                        1. Memoryless Property
                                        2. Birth-Death Processes
                                          1. General Birth-Death Model
                                            1. Steady-State Analysis
                                              1. Balance Equations
                                              2. Single-Server Models
                                                1. M/M/1 Queue
                                                  1. Steady-State Probabilities
                                                    1. Performance Measures
                                                      1. System Utilization
                                                      2. M/G/1 Queue
                                                        1. Pollaczek-Khintchine Formula
                                                          1. Waiting Time Analysis
                                                        2. Multi-Server Models
                                                          1. M/M/s Queue
                                                            1. Steady-State Analysis
                                                              1. Performance Measures
                                                                1. Optimal Number of Servers
                                                              2. Finite Capacity Models
                                                                1. M/M/1/K Queue
                                                                  1. M/M/s/K Queue
                                                                    1. Blocking Probabilities
                                                                      1. Loss Systems
                                                                      2. Finite Population Models
                                                                        1. M/M/1/N/N Queue
                                                                          1. Machine Interference Model
                                                                            1. Repair Shop Problems
                                                                            2. Network of Queues
                                                                              1. Jackson Networks
                                                                                1. Open and Closed Networks
                                                                                  1. Product Form Solutions
                                                                                  2. Economic Analysis of Queueing Systems
                                                                                    1. Cost Components
                                                                                      1. Service Level Trade-offs
                                                                                        1. Optimal System Design

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                                                                                      9. Stochastic Processes and Markov Chains

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                                                                                      11. Inventory Theory