Joint Design and Pricing on a Network

Brotcorne, Luce; Labbé, Martine; Marcotte, Patrice; Savard, Gilles

doi:10.1287/opre.1080.0617

Cited by 63 publications

(28 citation statements)

References 13 publications

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“…They present and test an algorithmic scheme that can solve toll-setting problems of significant sizes to near optimality, within reasonable computing times. Brotcorne et al (2008) consider the problem of pricing in a network together with the design issue: this situation is realistic where the network design can be changed in the short term together with the pricing, for example, in telecommunications networks.…”

Section: The Pricing Problemmentioning

confidence: 99%

“…The followers are users sending flows along cheapest paths joining their respective origins and destinations. Brotcorne et al (2008) propose a bilevel formulation for this problem and discuss its properties. In particular, they show how the capacity constraints (ensuring that positive flows are routed only on open links, and that they respect capacities) present at the lower level can be moved to the upper level without affecting the optimal solution.…”

Section: The Pricing Problemmentioning

confidence: 99%

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Mathematical programming approaches to pricing problems

Violin¹

2015

4OR-Q J Oper Res

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Section: The Pricing Problemmentioning

confidence: 99%

Section: The Pricing Problemmentioning

confidence: 99%

Mathematical programming approaches to pricing problems

Violin¹

2015

4OR-Q J Oper Res

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“…In an extension to this model, [5] formulated a problem where the carrier not only has to set the prices on the arcs over which it has control, but also determined the capacity to be installed on each of the arcs. Along similar lines, [4] modeled a joint network design problem involving multi-commodity flow. In this case at the upper level the leader carrier is concerned with maximizing the profit raised from prices set on a subset of arcs which are also to be determined.…”

Section: Pricing and Equilibrium Modelsmentioning

confidence: 99%

“…As mentioned earlier the price setting problem for a single carrier used in this work is the capacitated version of the price setting problem extensively studied by [3], [4], [5] and [27]. In the above problem and represent the upstream and downstream nodes of arc a.…”

Section: Model Description and Formulationmentioning

confidence: 99%

Modeling carrier collaboration in freight networks

Voruganti¹,

Unnikrishnan

Waller³

2011

Transportation Letters

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This work presents two mechanisms for modeling alliance formation between leader carriers in a freight network for more efficient utilization of their resources: partial collaboration and complete collaboration. The performance of these alliance formation mechanisms is compared against the no collaboration case for various network topologies and demand levels. In the partial collaboration case, each leader carrier first maximizes his individual profits and leases out the residual capacity to other carriers. In the complete collaboration case all leader carriers join together to maximize the profit of the alliance.The profits are then distributed among the alliance members using the Shapley value principle. Numerical tests reveal that the topology of the network and the demand levels play an important role in determining the profits from each collaboration mechanism. It was also inferred that each of these factors also play a major role in determining the best collaboration strategy.

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“…Other bilevel schemes have been considered in [8] and [9] for different transportation problems while numerical convergence conditions have been discussed in [10].…”

Section: Passengers Flows Modelingmentioning

confidence: 99%

A two level optimization approach for long-term planning in a large air transportation network

Handou

Oumarou

Mancel

et al. 2009

Inverse Problems in Science and Engineering

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Inverse Problems, Design and Optimization Symposium Miami, Florida, U.S.A., April 16-18,2007 ABSTRACTIn this communication is considered the problem of long term forecasting of the traffic growth in a large air transportation network. This problem is crucial when planning the necessary investments in airports, fleets and air traffic control equipments. The proposed approach makes use of two different optimization models: One model is devoted to demand forecasting, the other one defines the air transport supply according with a profit maximization behavior for the airlines sector. A proposed solution scheme is composed of an iterative process between the current solutions of the demand and the supply optimization problems. Convergence conditions are discussed for this iterative process between these two problems which can be seen as inverse of each other. The proposed optimization approach is briefly illustrated in the case of the long term forecasting of air traffic in the west African region. INTRODUCTIONIn this communication is considered the problem of long term forecasting of the traffic growth in a large air transportation network. This problem is crucial when planning the necessary investments in airports, fleets and air traffic control resources. One of the main difficulty of this task is related with the estimation of future demand over the network which

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Joint Design and Pricing on a Network

Cited by 63 publications

References 13 publications

Mathematical programming approaches to pricing problems

Mathematical programming approaches to pricing problems

Modeling carrier collaboration in freight networks

A two level optimization approach for long-term planning in a large air transportation network

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