UsefulLinks
Systems Science
Operations Research
1. Introduction to Operations Research
2. Mathematical Preliminaries
3. Linear Programming
4. Transportation and Assignment Problems
5. Network Optimization Models
6. Integer Programming
7. Nonlinear Programming
8. Dynamic Programming
9. Stochastic Processes and Markov Chains
10. Queueing Theory
11. Inventory Theory
12. Simulation
13. Decision Analysis
14. Heuristics and Metaheuristics
10.
Queueing Theory
10.1.
Structure of Queueing Systems
10.1.1.
System Components
10.1.1.1.
Arrival Process
10.1.1.2.
Service Mechanism
10.1.1.3.
Queue Discipline
10.1.1.4.
System Capacity
10.1.1.5.
Customer Population
10.1.2.
Performance Measures
10.1.2.1.
Queue Length
10.1.2.2.
Waiting Time
10.1.2.3.
System Utilization
10.1.2.4.
Throughput
10.2.
Kendall's Notation
10.2.1.
Arrival Process Notation
10.2.2.
Service Process Notation
10.2.3.
Number of Servers
10.2.4.
System Capacity
10.2.5.
Population Size
10.2.6.
Queue Discipline
10.3.
Poisson Arrival Process
10.3.1.
Properties of Poisson Process
10.3.2.
Interarrival Time Distribution
10.3.3.
Memoryless Property
10.4.
Birth-Death Processes
10.4.1.
General Birth-Death Model
10.4.2.
Steady-State Analysis
10.4.3.
Balance Equations
10.5.
Single-Server Models
10.5.1.
M/M/1 Queue
10.5.1.1.
Steady-State Probabilities
10.5.1.2.
Performance Measures
10.5.1.3.
System Utilization
10.5.2.
M/G/1 Queue
10.5.2.1.
Pollaczek-Khintchine Formula
10.5.2.2.
Waiting Time Analysis
10.6.
Multi-Server Models
10.6.1.
M/M/s Queue
10.6.1.1.
Steady-State Analysis
10.6.1.2.
Performance Measures
10.6.1.3.
Optimal Number of Servers
10.7.
Finite Capacity Models
10.7.1.
M/M/1/K Queue
10.7.2.
M/M/s/K Queue
10.7.3.
Blocking Probabilities
10.7.4.
Loss Systems
10.8.
Finite Population Models
10.8.1.
M/M/1/N/N Queue
10.8.2.
Machine Interference Model
10.8.3.
Repair Shop Problems
10.9.
Network of Queues
10.9.1.
Jackson Networks
10.9.2.
Open and Closed Networks
10.9.3.
Product Form Solutions
10.10.
Economic Analysis of Queueing Systems
10.10.1.
Cost Components
10.10.2.
Service Level Trade-offs
10.10.3.
Optimal System Design
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11. Inventory Theory