By Mohamed Khalgui
"This e-book brings jointly theoretical and technical thoughts of clever embedded keep watch over platforms and their use in and software program architectures via highlighting formal modeling, execution types, and optimum implementations"--Provided by way of publisher.
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Additional info for Embedded computing systems : applications, optimization, and advanced design
State transitions under the action of a schedule are applied after time τ, the system will enter an infeasible state. Then, state Si is called an unsafe state. For example, at time τ1, the system shown in Figure 3 is in an unsafe state. If a state is not unsafe, it must be safe. As shown in Figure 4, if a shortterm schedule SCHD = (OD1, OD2, …, ODn) is obtained such that OD1 transfer the system from S1 to S2, OD2 from S2 to S3, …, and ODn from Sn to Sn+1, and all the states S1, S2, …, Sn+1 are safe, the schedule is feasible.
The results obtained above present the safe and unsafe states when there are two charging tanks for feeding one distiller. It specifies the relation among initial crude oil inventory in charging tanks, the pipeline transportation rate, distiller feeding rate, and the charging tank capacity. It is also seen that, with two charging tanks, to make the system safe there are restrictions on it. Next, consider three charging tanks to feed one distiller. 4: Assume that: 1) there is a single distiller with feeding rate fds in the refinery plant, the maximal crude oil transportation rate of the pipeline is fpmax = fds; 2) there are three charging tanks CTK1-3 with capacity ξ1-3 (ξi ≥ 2α); 3) one type of crude oil is to be processed; and 4) initially there is crude oil ζ1 ≥ 2α available for feeding the distiller in CTK1 and the other tanks are empty.
In this way, the behavior of a tank is precisely modeled by the PN. Because there are multiple types of crude oil, it is necessary to distinguish them. To do so, colors are introduced into the PN model. We use φ to denote the color of crude oil and say that a token in place p representing crude oil of type i has color φi and the number tokens in p with color φi at marking M is denoted by M(p, φi), and the volume for this token at marking M is denoted by V(M(p, φi)). When V(M(p, φi)) = 0, it implies that the number of tokens with color φi in p is zero.
Embedded computing systems : applications, optimization, and advanced design by Mohamed Khalgui