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focus their time. The second example described how the sensitivities could be utilized within an optimization problem. The optimization involves assuming the transition rates are a function of the individual task durations and then determining the durations which will minimize the overall process time. Two different examples are presented to illustrate minimizing the process completion time bas...

*Agency for Toxic Substances and Disease Registry. 1989. Decision guide for identifying substance-specific data needs related to toxicological profiles; Notice. Fed Regist 54(174):37618-37634.

permutation which maps 1; : : :; n into that order in which these nodes occur in a breadth rst traversal of t 0. If i is encountered before j, there can be no edge from j into i unless i is the root since all indegrees are one. Therefore, since the edge into k is ignored by the corresponding matrix in the left side of (6) { the k th row and column are there deleted { permuting rows and columns ...

Even when programming purely mathematical functions, mutable state is often necessary to achieve good performance, as it underlies important optimisations such as path compression in union-find algorithms and memoization. Nevertheless, verified programs rarely use mutable state because of its substantial verification cost: one must either commit to a deep embedding or follow a monadic style of ...

thesis of feedback c o n trol logic for a class of controlled Petri nets. Stability and stabilizability o f b e h a vior of discrete event dynamical systems. Some tractable supervisory control problems for discrete-event systems modeled by B u c hi automata.visory control of concurrent discrete-event s y stems .

1 Introduction

11 set name Theorem_Tc1_2_1_1 prove in(d', funcSpace(Node, NatInf)) set name Theorem_TC_2_1_1_1 prove (in(v_k_, openInter(((d@v_m_c)+1), (d@v_n_c))) => in(v_k_,NatInf)) resume by => <> 1 subgoal for proof of => normalize Theorem_TC_2_1_1_1ImpliesHyp with UseOpenInterval ] => subgoal ] conjecture set name Theorem_TC_2_1_1 normalize Theorem_TC_2ImpliesHyp.2 with TC normalize Theorem_TC_2_1Implies...

several points within the design space are examined by the involved advice tool. Thus, predictions of the final result can be computed without completely synthesizing the whole design. This leads to a reasonable reduction of design time because only the design with the best estimated characteristics is given to logic synthesis for implementation. Future work will concentrate on bringing the adv...

An exact formula for the move-to-front rule for self-organizing lists. (19) where (m) = jfT 2 B n : m 2 m (T)gj. It is easily seen that (m) depends only on the unordered set m ] and equals (m) = m Y i=0 g i ((m]) : (20) Therefore (19) equals n X m=jRj (?1) m?jRj X UR jUj=m (U) = X UR (?1) jUj?jRj (U): (21) But (U) is, by (20), precisely the number of trees that x at least the points in U. By MM...