103 Design of tracking systems with LQ optimality and quadratic stability: T. Fujii, pp 435–442
- Book ID
- 103988202
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 123 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0967-0661
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✦ Synopsis
The authors consider competition among a finite number of firms, transporting a fixed volume of traffic over • prescribed planning horizon on a congested transportation network with one origindestination pair connected by parallel routes. It is assumed that each finn attempts to minimize individual transportation costs by making a sequence of simultaneous decisions of departure time, route, and flow rate based on trade-offs between arc traversal time and schedule delay penalty. The model is formulated as an Nperson nonzero-sum discrete-time dynamic game, a Coumot-Nash network equilibrium is defined, and optimality conditions are derived. Furore extensions of the model are also discussed.