Palm Probabilities and Stationary Queues
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Tables of Contents.- 1. Stationary point processes and Palm probabilities.- 1. Stationary marked point processes.- 2. Intensity.- 3. Palm probability.- 4. From Palm probability to stationary probability.- 5. Examples.- 6. Local aspects of Palm probability.- 7. Characterization of Poisson processes.- 8. Ergodicity of point processes.- References for Part 1: Palm probabilities.- 2. Stationary queueuing systems.- 1. The G/G/1/? queue : construction of the customer stationary state.- 2. Formulae for the G/G/1/? queue.- 3. The G/G/s/? queue.- 4. The G/G/1/0 queue.- 5. Other queueing systems.- 6. Th...
Tables of Contents.- 1. Stationary point processes and Palm probabilities.- 1. Stationary marked point processes.- 2. Intensity.- 3. Palm probability.- 4. From Palm probability to stationary probability.- 5. Examples.- 6. Local aspects of Palm probability.- 7. Characterization of Poisson processes.- 8. Ergodicity of point processes.- References for Part 1: Palm probabilities.- 2. Stationary queueuing systems.- 1. The G/G/1/? queue : construction of the customer stationary state.- 2. Formulae for the G/G/1/? queue.- 3. The G/G/s/? queue.- 4. The G/G/1/0 queue.- 5. Other queueing systems.- 6. The Bedienungssysteme.- 7. The insensitivity balance equations.- 8. The insensitivity theorem.- 9. Insensitivity balance equations are necessary for insensitivity.- 10. Poisson streams.- References for part 2: Stationary queueing systems.
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