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This study is a novel contribution to the field of optimization in home health care services, both model and solution approach. We address an integration of interrelated optimization problems: rostering, assignment, routing, and scheduling in multi-period workforce planning under uncertainty in nurse availability. Our model explicitly handles the constraints related to workload balancing and multi-period...
We present an algorithm that seeks to find a set of diverse, short paths through a roadmap graph. The usefulness of a such a set is illustrated in robotic motion planning and routing applications wherein a precomputed roadmap of the environment is partially invalidated by some change, for example, relocation of obstacles or reconfiguration of the robot. Our algorithm employs the heuristic that nearby...
Design and planning Military networks requires complex cost-performance trades involving several functions ranging from subnet creation, topology generation, routing hierarchy design & protocol choice, waveform and frequency planning and MAC choices. In this paper we focus on a subset of the design problems pertaining to routing architecture design with unit task organization (UTO) requirements...
We propose an architecture and algorithms for maintaining end-to-end network connectivity for autonomous teams of robots. By adopting stochastic models of point-to-point wireless communication and computing robust solutions to the network routing problem, we ensure reliable connectivity during robot movement in complex environments. We fully integrate the solution to network routing with the choice...
Robust optimization is an emerging field in telecommunication network design which takes future traffic uncertainty into account. This yields optimal robust network designs which are optimal for all traffic realizations within a pre-defined set of uncertainty. In 2003, Bertsimas and Sim have introduced an adjustable uncertainty set for general optimization problems which preserves the computational...
Delivery of the required QoS in IP-over-DWDM networks would face uncertain environment capacity problems due to demand variations over different periods of network operation. Therefore, future demand uncertainties should be considered in planning DWDM transport backbones for capacity sensitive telecommunication applications with enhanced quality of service. This paper, presents a genetic algorithm...
In this article, we propose a general-purpose disaster support system based on generalized (multiplicatively-weighted order-k Minkowski-metric) Voronoi diagrams. The proposed system is capable of handling disasters (or emergency units) having different weights in the complete order from 1 to k in the three popular Minkowski metrics (Euclidean, Manhattan and Maximum distance space). The proposed model...
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