Optimization and resilience of complex supply-demand networks

Supply-demand processes take place on a large variety of real-world networked systems ranging from power grids and the internet to social networking and urban systems. In a modern infrastructure, supply-demand systems are constantly expanding, leading to constant increase in load requirement for res...

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Main Authors: Si-Ping Zhang, Zi-Gang Huang, Jia-Qi Dong, Daniel Eisenberg, Thomas P Seager, Ying-Cheng Lai
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/6/063029
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author Si-Ping Zhang
Zi-Gang Huang
Jia-Qi Dong
Daniel Eisenberg
Thomas P Seager
Ying-Cheng Lai
author_facet Si-Ping Zhang
Zi-Gang Huang
Jia-Qi Dong
Daniel Eisenberg
Thomas P Seager
Ying-Cheng Lai
author_sort Si-Ping Zhang
collection DOAJ
description Supply-demand processes take place on a large variety of real-world networked systems ranging from power grids and the internet to social networking and urban systems. In a modern infrastructure, supply-demand systems are constantly expanding, leading to constant increase in load requirement for resources and consequently, to problems such as low efficiency, resource scarcity, and partial system failures. Under certain conditions global catastrophe on the scale of the whole system can occur through the dynamical process of cascading failures. We investigate optimization and resilience of time-varying supply-demand systems by constructing network models of such systems, where resources are transported from the supplier sites to users through various links. Here by optimization we mean minimization of the maximum load on links, and system resilience can be characterized using the cascading failure size of users who fail to connect with suppliers. We consider two representative classes of supply schemes: load driven supply and fix fraction supply. Our findings are: (1) optimized systems are more robust since relatively smaller cascading failures occur when triggered by external perturbation to the links; (2) a large fraction of links can be free of load if resources are directed to transport through the shortest paths; (3) redundant links in the performance of the system can help to reroute the traffic but may undesirably transmit and enlarge the failure size of the system; (4) the patterns of cascading failures depend strongly upon the capacity of links; (5) the specific location of the trigger determines the specific route of cascading failure, but has little effect on the final cascading size; (6) system expansion typically reduces the efficiency; and (7) when the locations of the suppliers are optimized over a long expanding period, fewer suppliers are required. These results hold for heterogeneous networks in general, providing insights into designing optimal and resilient complex supply-demand systems that expand constantly in time.
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spelling doaj.art-466c2e75eb174c28a05420b85eb750062023-08-08T14:19:49ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117606302910.1088/1367-2630/17/6/063029Optimization and resilience of complex supply-demand networksSi-Ping Zhang0Zi-Gang Huang1Jia-Qi Dong2Daniel Eisenberg3Thomas P Seager4Ying-Cheng Lai5Institute of Computational Physics and Complex Systems, Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University , Lanzhou 730000, ChinaInstitute of Computational Physics and Complex Systems, Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University , Lanzhou 730000, China; School of Electrical, Computer and Energy Engineering, Arizona State University , Tempe, AZ 85287, USAInstitute of Computational Physics and Complex Systems, Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University , Lanzhou 730000, ChinaSchool of Sustainable Engineering and Built Environment, Arizona State University , Tempe, AZ 85287, USASchool of Sustainable Engineering and Built Environment, Arizona State University , Tempe, AZ 85287, USASchool of Electrical, Computer and Energy Engineering, Arizona State University , Tempe, AZ 85287, USASupply-demand processes take place on a large variety of real-world networked systems ranging from power grids and the internet to social networking and urban systems. In a modern infrastructure, supply-demand systems are constantly expanding, leading to constant increase in load requirement for resources and consequently, to problems such as low efficiency, resource scarcity, and partial system failures. Under certain conditions global catastrophe on the scale of the whole system can occur through the dynamical process of cascading failures. We investigate optimization and resilience of time-varying supply-demand systems by constructing network models of such systems, where resources are transported from the supplier sites to users through various links. Here by optimization we mean minimization of the maximum load on links, and system resilience can be characterized using the cascading failure size of users who fail to connect with suppliers. We consider two representative classes of supply schemes: load driven supply and fix fraction supply. Our findings are: (1) optimized systems are more robust since relatively smaller cascading failures occur when triggered by external perturbation to the links; (2) a large fraction of links can be free of load if resources are directed to transport through the shortest paths; (3) redundant links in the performance of the system can help to reroute the traffic but may undesirably transmit and enlarge the failure size of the system; (4) the patterns of cascading failures depend strongly upon the capacity of links; (5) the specific location of the trigger determines the specific route of cascading failure, but has little effect on the final cascading size; (6) system expansion typically reduces the efficiency; and (7) when the locations of the suppliers are optimized over a long expanding period, fewer suppliers are required. These results hold for heterogeneous networks in general, providing insights into designing optimal and resilient complex supply-demand systems that expand constantly in time.https://doi.org/10.1088/1367-2630/17/6/063029supply-demand networkscascading failureoptimizationresilience
spellingShingle Si-Ping Zhang
Zi-Gang Huang
Jia-Qi Dong
Daniel Eisenberg
Thomas P Seager
Ying-Cheng Lai
Optimization and resilience of complex supply-demand networks
New Journal of Physics
supply-demand networks
cascading failure
optimization
resilience
title Optimization and resilience of complex supply-demand networks
title_full Optimization and resilience of complex supply-demand networks
title_fullStr Optimization and resilience of complex supply-demand networks
title_full_unstemmed Optimization and resilience of complex supply-demand networks
title_short Optimization and resilience of complex supply-demand networks
title_sort optimization and resilience of complex supply demand networks
topic supply-demand networks
cascading failure
optimization
resilience
url https://doi.org/10.1088/1367-2630/17/6/063029
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AT jiaqidong optimizationandresilienceofcomplexsupplydemandnetworks
AT danieleisenberg optimizationandresilienceofcomplexsupplydemandnetworks
AT thomaspseager optimizationandresilienceofcomplexsupplydemandnetworks
AT yingchenglai optimizationandresilienceofcomplexsupplydemandnetworks