Titlebook: Lattice Path Combinatorics and Applications; George E. Andrews,Christian Krattenthaler,Alan Kri Book 2019 Springer Nature Switzerland AG 2

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Asymptotic Estimates for Queueing Systems with Time-Varying Periodic Transition Rates,ying rates and the same type of queue with constant rates. The estimates can also be used to approximate other performance measures such as the waiting time distribution. We illustrate the method with several examples.

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Book 2019r and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatori

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occurrence

Paired Patterns in Lattice Paths, occurrence of . in . for all ., reading from left to right. Then, we say that a paired pattern . occurs in . if there is some . of size . such that .. In this paper, we study the generating functions of paired pattern matching in ..

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-Rook Numbers and Cycle Counting in ,ycle-counting .-rook numbers and cycle-counting .-hit numbers to the Briggs–Remmel model. In such a setting, we define a multivariable version of the cycle-counting .-rook numbers and cycle-counting .-hit numbers where we keep track of cycles of permutations and partial permutations of . according to the signs of the cycles.

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