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By Johannes Bisschop, Alexander Meeraus (auth.), Jean-Louis Goffin, Jean-Marc Rousseau (eds.)

ISBN-10: 3642008518

ISBN-13: 9783642008511

ISBN-10: 3642008526

ISBN-13: 9783642008528

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The outer objective function could be vacuous, but if the inner one is not, one is still faced with a two-level programming problem. The above problem can be viewed as a two-player Stackelberg game employing the leader-follower solution concept. The leader is assumed to have complete knowledge of the behavior of the follower. It is precisely this authority between the leader and the follower that induces a natural solution to the above mathematical problem, provided, of course, that the optimal reaction y*(x) is unique for the relevant choices of x.

In column 2 of Table 1 the average storage/communication cost is given, which represents the ratio between the average file storage cost and the average communication cost from a node to a file with the assumption that one copy of each program is located in each node. It is: E E a,(f) Average storage/communication cost = f E F i~N E E E pEP f ~ F iEN i~N This ratio has been assumed as a reasonable figure for the relative value of storage and communication costs. Note that, since storage costs include the updating cost for each file, for fixed storage costs this ratio represents a measure of the relative value of updating traffic demand and query traffic demand in the network.

1) y->0}. Here both x and d are considered policy variables that pertain to the government. The vector x contains all variables that are not under the direct control of the farmers, and that are not in d. Surface water allocations to the farmers, for instance, comprise some of the x-components. The vector d represents a set of subsidies and taxes that the government wants to impose on farmers' water related activities. Note that these control variables enter the inner objective function in a multiplicative fashion, thereby making the above problem 36 J.

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Applications by Johannes Bisschop, Alexander Meeraus (auth.), Jean-Louis Goffin, Jean-Marc Rousseau (eds.)

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