Scheduling Post-disaster Repairs in Electricity Distribution Networks with Uncertain Repair Times
Authors: 
Yushi Tan, Arindam K. Das, Mareldi Ahumada-Paras, Payman Arabshahi, Daniel S. KirschenAuthors Info & Claims
Yushi Tan, Arindam K. Das, Mareldi Ahumada-Paras, Payman Arabshahi, Daniel S. KirschenAuthors Info & ClaimsPages 21 - 24
Abstract
Natural disasters, such as hurricanes, large wind and ice storms, typically require the repair of a large number of com- ponents in electricity distribution networks. Since power cannot be restored before the completion of repairs, optimally scheduling the available crews to minimize the cu- mulative duration of the customer interruptions reduces the harm done to the affected community. We have previously proposed approximation algorithms to schedule post-disaster repairs in electricity distribution networks with complete damage information[1]. In this paper, we extend our pre- vious work to the case with incomplete damage information. We model this problem as scheduling a set of jobs with stochastic processing times on parallel identical machines in order to minimize the total weighted energization time. A linear programming (LP) based list scheduling pol- icy is proposed and then analyzed in terms of theoretical performance.
References
[1]
Y.Tan, F.Qiu, A.K. Das, D.S. Kirschen, P. Arabshahi, and J. Wang. Scheduling Post-Disaster Repairs in Electricity Distribution Networks. ArXiv e-prints arXiv:1702.08382, February2017.
[2]
North American Electric Reliability Corporation. Hurricane Harvey Event Analysis Report. https: //www.nerc.com/pa/rrm/ea/Hurricane_Harvey_EAR_ DL/NERC_Hurricane_Harvey_EAR_20180309.pdf, 2018. [Online;accessed29-March-2019].
[3]
U.S. Energy Information Administation. Hurricane Harvey caused electric system outages and affected wind generation in Texas. https://www.eia.gov/ today in energy/detail.php?id=32892, 2017.[Online; accessed 29-June-2018].
[4]
Alexis Kwasinski,John Eidinger, Alex Tang, and Christophe Tudo-Bornarel. Performance of electric power systems in the 2010--2011 Christ church,New Zealand,Earthquake Sequence. Earthquake Spectra, 30(1):205--230,2014.
[5]
Infrastructure Security and Energy Restoration,Office of Electricity Delivery and Energy Reliability,U.S. Department of Energy. Are view of power outages and restoration following theJune 2012 Derecho. http://energy.gov/sites/prod/files/Derecho% 202012_%20Review_0.pdf, Aug2012.
[6]
The Grid Wise Alliance. Improving electric grid reliability and resilience: Lessons learned from super storm sandy and other extreme events. http://www.gridwise.org/documents/ ImprovingElectricGridReliabilityandResilience_ 6_6_13webFINAL.pdf, July2013.[Online;accessed 11-March-2018].
[7]
NERC. Hurricane sandy event analysis report. http://www.nerc.com/pa/rrm/ea/ Oct2012HurricanSandyEvntAnlyssRprtDL/ Hurricane_Sandy_EAR_20140312_Final.pdf, January 2014. [Online;accessed11-March-2018].
[8]
Sarah G Nurre, Burak Cavdaroglu, John E Mitchell, Thomas C Sharkey, and William A Wallace.Restoring infrastructure systems: An integrated network design and scheduling (INDS) problem. European Journal of Operational Research, 223(3):794--806,2012.
[9]
Carleton Coffrin and Pascal Van Hentenryck. Transmission system restoration: Co-optimization of repairs, load pickups, and generation dispatch.In Power Systems Computation Conference(PSCC), 2014, pages 1--8.IEEE,2014.
[10]
Ronald L Graham, Eugene L Lawler, Jan Karel Lenstra, and AHG Rinnooy Kan.Optimization and approximation indeterministic sequencing and scheduling: a survey. Annals of discrete mathematics, 5:287--326,1979.
[11]
Yushi Tan, Arindam K Das, Payman Arabshahi, and Daniel SKirschen. Distribution systems hardening against natural disasters. IEEE Transactions on Power Systems, 33(6):6849--6860,2018.
[12]
Rolf H Möhring,Andreas S Schulz,and Marc Uetz. Approximation in stochastic scheduling: the power of LP-based priority policies. Journal of the ACM (JACM), 46(6):924--942,1999.
[13]
FJ Radermacher. Cost-dependent essential systems of es-strategies for stochastic scheduling problems. Methods of Operations Research, 42:17--31,1981.
[14]
R.H. Möhring, F.J. Radermacher,and G.Weiss. Stochastic scheduling problems i-general strategies. Zeitschrift für Operations Research, 28(7):193--260, 1984.
[15]
RH Möhring, FJ Radermacher,and G Weiss. Stochastic scheduling problems ii-set strategies. Zeitschrift für Operations Research, 29(3):65--104, 1985.
[16]
Marc Uetz. Algorithms for determinisic and stochastic scheduling. PhD thesis,2001.
[17]
Andreas S Schulzetal. Polytopes and scheduling. PhD thesis,Citeseer,1996.
[18]
Andreas S Schulz. Scheduling to minimize total weighted completion time: Performance guarantees of lp-based heuristics and lower bounds.In International Conference on Integer Programming and Combinatorial Optimization, pages 301--315. Springer, 1996.
[19]
Alix Munier, Maurice Queyranne,and Andreas S Schulz. Approximation bounds for a general class of precedence constrained parallel machine scheduling problems.In International Conference on Integer Programming and Combinatorial Optimization, pages 367--382. Springer,1998.
[20]
Yushi Tan,Arindam K. Das,Mareldi Ahumada-Paras, Payman Arabshahi,and Daniel S. Kirschen. Scheduling post-disaster repairs in electricity distribution networks with uncertain repair times. http://www.optimization-online.org/DB_FILE/ 2019/08/7344.pdf, 2019.
Index Terms
- Scheduling Post-disaster Repairs in Electricity Distribution Networks with Uncertain Repair Times
Index terms have been assigned to the content through auto-classification.
Recommendations
Parallel Machine Scheduling with Batch Setup Times
<P>We consider a problem of scheduling several batches of jobs on two identical parallel machines to minimize the total completion time of jobs. A setup time is incurred whenever there is a switch from processing a job in one batch to a job in another ...
Single-machine scheduling with past-sequence-dependent delivery times and release times
This paper studies the problem of single-machine scheduling with past-sequence-dependent delivery times, which was introduced in Koulamas and Kyparisis (2010) [5]. We focus on the scenario with release times such that any job is available for processing ...
On the Complexity of Scheduling with Batch Setup Times
Many practical scheduling problems involve processing several batches of related jobs on common facilities where a setup time is incurred whenever there is a switch from processing a job in one batch to a job in another batch. We extend various ...
Comments
Information & Contributors
Information
Published In
Copyright © 2020 Copyright is held by the owner/author(s).
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.
Publisher
Association for Computing Machinery
New York, NY, United States
Publication History
Published: 03 May 2020
Published in SIGMETRICS Volume 47, Issue 4
Check for updates
Qualifiers
- Research-article
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- 0Total Citations
- 109Total Downloads
- Downloads (Last 12 months)13
- Downloads (Last 6 weeks)0
Reflects downloads up to 18 Aug 2024
Other Metrics
Citations
View Options
Get Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in