Highway Tollbooth Worker

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A Sublogarithmic Approximation for Highway and Tollbooth Pricing

An instance of the tollbooth problem consists of an undirected network and a collection of singleminded customers, each of which is interested in purchasing a fixed path subject to an individual budget constraint. The objective is to assign a per-unit price to each edge in a way that maximizes the collective revenue obtained from all customers. The revenue generated by any customer is equal to ...

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On Profit-Maximizing Pricing for the Highway and Tollbooth Problems

In the tollbooth problem, we are given a tree T = (V,E) with n edges, and a set of m customers, each of whom is interested in purchasing a path on the tree. Each customer has a fixed budget, and is willing to pay at most her budget to purchase her path. The objective of the problem is to price the edges of T such that the total revenue made by selling the paths to the customers that can afford ...

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On the tollbooth problem

We show that the gap in profit between a naturally defined upward instance of the tollbooth problem on a tree and the original instance can be at least Ω(log log n) where n is the number of edges in the tree.

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Gap between upward and tollbooth instances

We show that the gap in profit between a naturally defined upward instance of the tollbooth problem on a tree and the original instance can be at least Ω(log log n) where n is the number of edges in the tree.

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A tollbooth tandem queue with heterogeneous servers

We study a tandem queueing system with K servers and no waiting space in between. A customer needs service from one server but can leave the system only if all down-stream servers are unoccupied. Such a system is often observed in toll collection during rush hours in transportation networks, and we call it a tollbooth tandem queue. We apply matrix-analytic methods to study this queueing system,...

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ژورنال

عنوان ژورنال: Journal of General Internal Medicine

سال: 2013

ISSN: 0884-8734,1525-1497

DOI: 10.1007/s11606-013-2558-2