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We consider a geographic optimization problem in which we are given a region R, a probability density function f (·) defined on R, and a collection of n utility density functions ui(·) defined on R. Our objective is to divide R into n sub-regions Ri so as to " balance " the overall utilities on the regions, which are given by the integrals˜R i f (x)ui(x)… (More)

- John Gunnar Carlsson, Raghuveer Devulapalli
- INFORMS Journal on Computing
- 2013

We consider the problem of dividing a geographic region into sub-regions so as to minimize the maximum workload of a collection of facilities over that region. We assume that the cost of servicing a demand point is a monomial function of the distance to its assigned facility and that demand points follow a continuous probability density. We show that, when… (More)

- John Gunnar Carlsson, Erik Carlsson, Raghuveer Devulapalli
- 2013 IEEE/RSJ International Conference on…
- 2013

Autonomous vehicles (or drones) are very frequently used for servicing a geographic region in numerous applications. Given a geographic territory and a set of n fixed vehicle depots, we consider the problem of designing service districts so as to balance the workload of a collection of vehicles which service this region. We assume that the territory is a… (More)

We consider the problem of dividing a territory into sub-regions so as to balance the workloads of a collection of facilities or vehicles over that territory. We assume that the territory is a connected polygonal region, i.e. a simply connected polygon containing a set of simply connected obstacles. The territory also contains a collection of facilities,… (More)

- John Gunnar Carlsson, Mehdi Behroozi, Raghuveer Devulapalli, Xiangfei Meng
- Operations Research
- 2016

One of the fundamental concerns in the analysis of logistical systems is the trade-off between localized, independent provision of goods and services versus provision along a centralized infrastructure such as a backbone network. One phenomenon in which this trade-off has recently been made manifest is the transition of businesses from traditional… (More)

- Raghuveer Devulapalli, Mikael Quist, John Gunnar Carlsson
- Visualization and Data Analysis
- 2014

Spatial partitions of an information space are frequently used for data visualization. Weighted Voronoi diagrams are among the most popular ways of dividing a space into partitions. However, the problem of computing such a partition efficiently can be challenging. For example, a natural objective is to select the weights so as to force each Voronoi region… (More)

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