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A dynamic game model for distribution problems with non-stochastic uncertainty

✍ Scribed by Franco Blanchini; Franca Rinaldi; Walter Ukovich

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
746 KB
Volume
45
Category
Article
ISSN
0925-5273

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✦ Synopsis

A discrete-time dynamic production/distribution problem for a commodity is considered, comprising several delivery points. At each time, only the global amount of the demand is known, whereas the demand at each delivery point is only bounded above. The system has both production and transportation capacity constraints.

Capacities and demand bounds can vary with time.

The problem is that of finding initial conditions from which control (i.e. production/transportation) strategies exist that can fulfill any demand using the available system capacities. A two-person dynamic game model on a network is formulated for this problem. It is shown that the required sets of initial conditions are O-base polyhedra; a procedure to derive them is provided, and an upper bound on the number of required steps is derived.

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