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Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
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Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
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The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.
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Maximizing Heterogeneous Server Utilization with Limited Availability Times for Divisible Loads Scheduling on

Xiaoli Wang1, Bharadwaj Veeravalli2, Xiaobo Song3

  • 1School of Computer Science and Technology, Xidian University, Xi'an 710071, China.

Sensors (Basel, Switzerland)
|April 13, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a novel scheduling model that accounts for server availability, improving workload distribution. The proposed heuristic algorithm efficiently solves large-scale problems, outperforming existing methods by reducing overall task completion time.

Keywords:
divisible loadmulti-installment schedulingnetworked systemserver available times

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Area of Science:

  • Computer Science
  • Distributed Systems
  • Operations Research

Background:

  • Existing divisible load scheduling models often assume servers are always available, which is unrealistic.
  • Heterogeneous server availability times in networked systems can lead to missed deadlines if not considered.
  • Ignoring server availability constraints can result in failed workload processing or late delivery.

Purpose of the Study:

  • To propose a new multi-installment scheduling model that incorporates server availability time constraints.
  • To develop an efficient heuristic algorithm for optimal load partitioning under these constraints.
  • To address the limitations of current models in handling heterogeneous server availability.

Main Methods:

  • Designed a novel multi-installment scheduling model.
  • Developed an efficient heuristic algorithm combining a repair strategy (for time constraints) and a local search strategy (for optimality).
  • Evaluated performance through rigorous simulation experiments.

Main Results:

  • The proposed algorithm effectively handles heterogeneous servers with arbitrary available times.
  • The algorithm is suitable for solving large-scale divisible load scheduling problems.
  • Demonstrated superiority over existing algorithms by achieving a shorter makespan (overall completion time).

Conclusions:

  • The new scheduling model and heuristic algorithm successfully address server availability constraints.
  • The approach provides an optimal load partitioning scheme, enhancing scheduling efficiency.
  • This method offers a significant improvement for real-world networked systems with dynamic server availability.