Preface to the second edition.
Probabilistic methodology has now become a routine part of graduate education in
operations research, statistics, computer science, economics, business, public policy,
bioinformatics, engineering, etc. The following three aspects of the methodology are
most vital for the students in these disciplines:
1. Modeling a “real-life” situation with stochastic or random elements
2. Analysis of the resulting stochastic model
3. Implementation of the results of the analysis
Of course, if the results of Step 2 show that the model does not “fit” the real-life situation, then one needs to modify the model and repeat Steps 1 and 2 until a satisfactory
solution emerges. Then one proceeds to Step 3. As the title of the book suggests, we
emphasize the first two steps. The selection, the organization, and the treatment of
topics in this book are dictated by the emphasis on modeling and analysis
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