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We prove that there exist $\\epsilon_1, \\epsilon_2 > 0$, depending on the first three moments of the inter-arrival and processing time distributions, such that the s.s.p.d. is bounded from above by $\\exp\\big(-\\epsilon_1 B^2\\big)$ as the associated excess parameter $B \\rightarrow \\infty$; and by $1 - \\epsilon_2 B$ as $B \\rightarrow 0$. 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