11 research outputs found

    Path planning algorithms for robots in a data muling system

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    University of Minnesota M.S. thesis. December 2010. Major: Computer Science and Engineering. Advisor: Prof. Volkan Isler. 1 computer file (PDF); viii, 66 pages.We study two path planning problems that arise in data muling systems where robots are charged to collect data from wireless devices dispersed across a large environment. In such applications, deploying a network of stationary wireless sensors may be infeasible when many relay nodes are deployed to ensure connectivity. Instead, a few robots can be used as data mules to collect data from these devices. The first problem studied in this thesis is to find tours for multiple robots so as to collect data from all sensors in the least amount of time. We refer to this problem as the Data Gathering Problem (DGP). We assume that sensors have a uniform disk communication model. In this model, data can be downloaded from a sensor with fixed rate inside its communication disk. We present an optimal algorithm for the one dimensional version of DGP. For the two dimensional version we present a constant factor approximation algorithm. Afterwards, we present field experiments in which an autonomous robotic data mule collects data from sensor nodes deployed over a large area. Next, we study data collection problem with a more realistic communication model for sensors. In experiments we found that the time taken to download data from a sensor s is a function of the locations of the robot and s: If the robot is a distance rin away from s, it can download the sensor’s data reliably in Tin units of time. If the distance is greater than rin but less than rout , robot can still download data but due to higher packet loss probability the average download time Tout is higher (Tout > Tin). We refer to this model as the Two-Ring communication model and the corresponding path planning problem as the Two-Ring Tour (TRT) problem. We present a constant factor approximation algorithm for the general case. The algorithm uses a polynomial time approximation scheme as a subroutine. Though the scheme has polynomial running time, its running time is impractically large. It is also very complex to implement. Therefore we study special cases of the TRT problem and present efficient algorithms for them. For robotic data mules to be useful, the robots must be capable of operating in the field for extended periods of time. Therefore, in the last part of the thesis we initiate ii the study of solar energy harvesting for robotic navigation. Our primary contribution is an experimental model of energy consumption and harvesting as a function of environmental parameters. We demonstrate the utility of this model in a simple navigation task

    Efficient Data Collection from Wireless Nodes under Two-Ring Communication Model

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    We introduce a new geometric routing problem which arises in data muling applications where a mobile robot is charged with collecting data from stationary sensors. The objective is to compute the robot's trajectory and download sequence so as to minimize the time to collect the data from all sensors. The total data collection time has two components: the robot's travel time and the download time. The time to download data from a sensor ss is a function of the locations of the robot and ss: If the robot is a distance rinr_{in} away from ss, it can download the sensor's data in TinT_{in} units of time. If the distance is greater than rinr_{in} but less than routr_{out}, the download time is T_{out} > T_{in}. Otherwise, the robot can not download the data from ss. Here, rinr_{in}, routr_{out}, TinT_{in} and ToutT_{out} are input parameters. We refer to this model, which is based on recently developed experimental models for sensor network deployments, as the two ring model, and the problem of downloading data from a given set of sensors in minimum amount of time under this model as the Two-Ring Tour (TRT) problem. We present approximation algorithms for the general case which uses solutions to the Traveling Salesperson with Neighborhoods (TSPN) Problem as subroutines. We also present efficient solutions to special but practically important versions of the problem such as uniform and sparse deployment

    Data gathering tours for mobile robots

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    Abstract — We study a path planning problem which arises when multiple robots are used to gather data from stationary devices with wireless communication capabilities. Each device has a given communication range, and stores a fixed amount of data. The objective of the robots is to gather the data from these devices and to upload it to a base-station/gateway. We introduce a new optimization problem called the Data Gathering Problem (DGP). In DGP, the objective is to compute a tour for each robot in such a way that minimizes the time to collect data from all devices. In order to download the data from a device, a robot must visit a point within the communication range of the device. Then, it spends a fixed amount of time to download the data. Thus, the time to complete a tour depends on not only the travel time but also the time to download the data, and the number of devices visited along the tour. First, we study a special case of DGP where the robots’ motion is restricted to a curve which contains the base station at one end. Next, we study the 2D version. We show that two existing algorithms for variants of the Traveling Salesperson Problem can be combined and adapted to obtain a constant factor approximation to DGP. Afterwards, we present an im-provement for sparse deployments. We also present simulations which shed light on the utility of data gathering using mobile robots

    Atoll sign in posterior lenticonus: A case report of bilateral posterior lenticonus with review of literature

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    Posterior lenticonus is a rare progressive disease characterized by protrusion of posterior lens capsule along with lens cortex into the vitreous cavity. Posterior lenticonus is more common but present unilaterally unlike anterior lenticonus, which presents bilaterally. Posterior lenticonus is a common cause of unilateral infantile cataract but is a very rare cause of bilateral cataract. Diagnosis is mainly clinical but can be difficult in asymptomatic patients; oil drop sign (in mild posterior lenticonus) and fish tail sign (lenticular cortex hanging in vitreous cavity after posterior capsular dehiscence) are described in posterior lenticonus. We are proposing an atoll sign in advanced case of posterior lenticonus with intact posterior capsule on slit lamp examination. The positive atoll sign will have more favorable prognosis since posterior capsule is intact, hence posterior chamber intraocular lens implantation will be more feasible with better visual prognosis as was the case with our patient

    Capturing an Evader in a Polygonal Environment With Obstacles

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    We study a pursuit-evasion game in which one or more cops try to capture a robber by moving onto a robber's current location. All players have equal maximum velocities. We show that three cops can capture the robber in any polygonal environment which can contain any finite number of holes
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