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Operations Research Models and Methods
 


Tours

 

Continuous-Time Markov Chain (CTMC) Tour

11 Models for Stochastic Processes

  • 11.1 Continuous-Time Markov Chains
  • 11.2 Realization of the Process
  • 11.3 Discrete-Time Markov Chains
  • 11.4 Examples of Stochastic Processes
  • 11.5 Assessment of Stochastic Models
  • 11.6 Exercises
  • Bibliography

 

Models
Stochastic Processes

 

14 Continuous-Time Markov Chains

  • 14.1 Markovian Property
  • 14.2 Model Components
  • 14.3 Transient Solutions
  • 14.4 Steady-State Solutions
  • 14.5 Design Alternatives for ATM
  • 14.6 Birth and Death Processes
  • 14.7 Probabilistic Transitions
  • 14.8 Exercises
  • Bibliography

 

Models
Continuous Time Markov Chains

 

Problems
CTMC Problems

Computation
Stochastic Models Add-in

 

15 Mathematics of Continuous-Time Markov Chains

  • 15.1 Embedded Discrete-Time Markov Chain
  • 15.2 Steady-State Probabilities
  • 15.3 Economic Analysis
  • 15.4 First Passage Times
  • 15.5 Birth-Death Processes
  • 15.6 Exercises
  • Bibliography

 

Computation
Stochastic Analysis Add-in

 

stochmod.xla Stochastic Models
stochanal.xla Stochastic Analysis
stochmod_dem.xls Stochastic Models
stochanal_dem.xls Stochastic Analysis

 

 

  
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Operations Research Models and Methods
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by Paul A. Jensen
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