Scheduling Network of Queues Heavy Traffic Analysis of Multistation Network Wi
Scheduling Network of Queues Heavy Traffic Analysis of Multistation Network Wi
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14) for some value of W{t). Thus the number of different extreme rays, 27 and hence the number of different (/— 1)— dimensional faces of the cone, equals the number of extreme points of the dual constraint set (3. 10). See Figure 1 for an example with three stations (that is, 7 = 3) emd six extreme rays.
W, (t) FIGURE 1. W{t) Stays on the Cone Boundary.
28 The workload process W can also be expressed in terms of the other two controls, U* and 6*. By equations (2. 11) and (2. 24), the controller... in the workload formulation observes an /—dimensional Brownian motion process B, exerts the optimal controls U*, which is the /—dimensional scaled cumulative idleness process, and 6*, which is the one- dimensional scaled centered input process, and obtains the controlled process W, which is the scaled workload process, via the equations W, {t) = B, {t) + U*{t) - v, e*{t), for ? = 1, ... , / and f > 0. (8. 1) Recall that the solution U* to the constrained singular control problem is characterized by a bounded region in R^~^ containing the origin.
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To quickly assess the difficulty of the text, read a short excerpt:
14) for some value of W{t). Thus the number of different extreme rays, 27 and hence the number of different (/— 1)— dimensional faces of the cone, equals the number of extreme points of the dual constraint set (3. 10). See Figure 1 for an example with three stations (that is, 7 = 3) emd six extreme rays.
W, (t) FIGURE 1. W{t) Stays on the Cone Boundary.
28 The workload process W can also be expressed in terms of the other two controls, U* and 6*. By equations (2. 11) and (2. 24), the controller... in the workload formulation observes an /—dimensional Brownian motion process B, exerts the optimal controls U*, which is the /—dimensional scaled cumulative idleness process, and 6*, which is the one- dimensional scaled centered input process, and obtains the controlled process W, which is the scaled workload process, via the equations W, {t) = B, {t) + U*{t) - v, e*{t), for ? = 1, ... , / and f > 0. (8. 1) Recall that the solution U* to the constrained singular control problem is characterized by a bounded region in R^~^ containing the origin.
What to read after Scheduling Network of Queues Heavy Traffic Analysis of Multistation Network Wi?
You can find similar books in the "Read Also" column, or choose other free books by Lawrence M Wein to read onlineMoreLess
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