Introduction
This chapter is based on, and expanded from, Chapters 11, 12 and 14 of [4] which is about using fuzzy probabilities and fuzzy sets in web site planning. So the queuing network considered in this chapter is within a web site. For other papers/chapters in books, on this topic of fuzzy queuing theory, we refer the reader to ([2],[3],[6],[7],[10]) and the references in these papers/books. In the next section we discuss the crisp queuing optimization problem and then we fuzzify the optimization problem in the third section. In the fourth section we present our fuzzy Monte Carlo method and how we will generate sequences of random fuzzy vectors. Our fuzzy Monte Carlo solution to the fuzzy queuing optimization problem is the fifth section and the last section has a summary and our conclusions. All the fuzzy numbers used in this chapter, except fuzzy profit starting in Section 16.3, will be non-negative. We will program our fuzzy Monte Carlo method in MATLAB [8]. This chapter is also based on [1].
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Buckley, J.J., Jowers, L.J. (2007). Fuzzy Queuing Models. In: Monte Carlo Methods in Fuzzy Optimization. Studies in Fuzziness and Soft Computing, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76290-4_16
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DOI: https://doi.org/10.1007/978-3-540-76290-4_16
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