Feasible timing constraint

By the definition of feasible timing constraints, the inequality holds for all offsets timing constraint Uij is satisfied.. ... 

Perform a prequalification audit of the laboratories that will provide analytical services for your projects. If an audit is not feasible due to budget or time constraints, request a copy of the latest audit report that was conducted at the laboratory by an accrediting agency. As a rule, a frequently audited laboratory is a better laboratory. 

Considering the value of assets, risk factors, feasibility, time and financial constraints, select SARs—usually it is the EAL package with added or replaced assurance components to meet the specific needs. 

In this article, this new energy crop has been introduced and its benefits extolled, in particular, the yield data of Table 1. However, the specifics were done within the economic and time constraints of the grant and are left open for more detailed scrutiny. In particular, the botany and plant physiology of the SSPs need clarification by experts, as do the physical characteristics of Table 1. Further studies are needed to establish heating values for the SSPs and to determine combustion characteristics. Knowledge of the cultivation and harvest of these plants must be expanded. The hope is, however, that the set of plants discussed here makes direct burnable biomass an economically feasible alternative on a broad scale. 

Computational approaches to potential energy may be divided into two broad categories quantum mechanics (Hehre et al, 1986) and molecular mechanics (Berkert and Allinger, 1982). The basis for this division depends on the incorporation of the Schrodinger equation or its matrix equivalent. It is now widely recognized that both methods reinforce one another in an attempt to understand chemical and biological behavior at the molecular level. From a purely practical standpoint, the complexity of the problem, time constraints, computer size, and other limiting factors typically determine which method is feasible. 

In theory, a liquid can be pumped into any porous formation, provided no pressure or time constraints exist. In practice, chemical grouts must be placed at pressures consistent with good engineering practice and at rates that make the use of chemical grouts economically feasible. In the discussions that follow, it is assumed that those practical considerations are met for all conditions. It is also assumed, unless otherwise stated, that grout penetration into a formation is by permeation, not fracturing. 

The distinction between the requirements. A, and the constrained order quantity, 2, is important. Whereas A, represents the quantity that is needed at the beginning of period t, Q, reflects what is feasible, taking into account lead time constraints and order quantity restrictions. For example, if A, = 40 and the maximum order quantity is 30, then Q, would be set to 30. 

A further challenge is the efficient interpretation of MALDI imaging data in the histological context, which is of particular importance in clinical studies where large numbers of specimen are analyzed. Peak-by-peak interpretation of MALDI imaging data is time-consuming and tedious. In fact, the detailed analysis of numerous tissue sections by a pathologist, as necessary in clinical studies, is not feasible due to time constraints. 

WCET is a prerequisite for schedulability or feasibility analysis (Abdelzaher et al., 2004 Audsley et al., 1995). (Schedulability is the ability of a system to meet all of its timing constraints.)... 

Definition 6.2.5 A timing constraint is feasible if it can be satisfied when all data-dependent delays are equal to zero, i.e. 6(a) = 0, Va A. Otherwise, it is unfeasible. 

Conversely a timing constraint is said to be ill-posed if it cannot be satisfied for some values of the data-dependent delays. A constraint graph G V, E) is well-posed if every constraint implied by the edges E is well-posed. From the definition of feasible constraints, if a graph is well-posed, then it is also necessarily feasible. The contra-positive also holds specifically, if a graph is unfeasible, then it is ill-posed. Because of the observation that no schedule exists for unfeasible constraint graphs, we assume in subsequent analysis the constraint graphs to be feasible, unless otherwise indicated. 

We now prove the sufficient condition. If the anchor sets of v,- and vj for a feasible maximum timing constraint u,j satisfy the condition A vj) C v4(vi), then the constraint implies the following inequality ... 

Now we prove the sufficient condition. Assume G(V, E) is well-posed and there exist an edge e - E for which A(v<) is not a subset of A(vj). By definition of anchor sets, Cij cannot be a forward edge, and hence must be a backward edge that is derived firom a feasible maximum timing constraint Since all constraints implied by G are well-posed, it follows from Lemma 6.2.1 that i4(v ) C A(vj). This results in a contradiction. Thoefore, the crit on A(vi) C A(vj) must be satisfied for all edges in the graph. ... 

Successive Quadratic Programming (SQP) The above approach to finding the optimum is called a feasible path method, as it attempts at all times to remain feasible with respect to the equahty and inequahty constraints as it moves to the optimum. A quite different method exists called the Successive Quadratic Programming (SQP) method, which only requires one be feasible at the final solution. Tests that compare the GRG and SQP methods generaUy favor the SQP method so it has the reputation of being one of the best methods known for nonlinear optimization for the type of problems considered here. 

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