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Dynamic Resource Allocation Problem for Transportation Network Evacuation

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  • Xiaozheng He

    ()

  • Srinivas Peeta

    ()

Abstract

Allocating movable response resources dynamically enables evacuation management agencies to improve evacuation system performance in both the spatial and temporal dimensions. This study proposes a mixed integer linear program (MILP) model to address the dynamic resource allocation problem for transportation evacuation planning and operations. To enable realism in practice, the proposed model includes spatiotemporal constraints related to the time required to reallocate resources to another location, the minimum time allocated resources should be at a location, and the minimum time gap between successive allocations of resources to a location. The proposed model is transformed into a two-stage optimization program for which a greedy-type heuristic algorithm is developed to solve the MILP approximately but efficiently. Results from computational experiments demonstrate the effectiveness of the proposed model and the efficiency of the heuristic solution algorithm. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Xiaozheng He & Srinivas Peeta, 2014. "Dynamic Resource Allocation Problem for Transportation Network Evacuation," Networks and Spatial Economics, Springer, vol. 14(3), pages 505-530, December.
  • Handle: RePEc:kap:netspa:v:14:y:2014:i:3:p:505-530
    DOI: 10.1007/s11067-014-9247-5
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    References listed on IDEAS

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    1. Douglas Bish & Edward Chamberlayne & Hesham Rakha, 2013. "Optimizing Network Flows with Congestion-Based Flow Reductions," Networks and Spatial Economics, Springer, vol. 13(3), pages 283-306, September.
    2. Tao Yao & Supreet Mandala & Byung Chung, 2009. "Evacuation Transportation Planning Under Uncertainty: A Robust Optimization Approach," Networks and Spatial Economics, Springer, vol. 9(2), pages 171-189, June.
    3. Satish Ukkusuri & S. Waller, 2008. "Linear Programming Models for the User and System Optimal Dynamic Network Design Problem: Formulations, Comparisons and Extensions," Networks and Spatial Economics, Springer, vol. 8(4), pages 383-406, December.
    4. Chiu, Yi-Chang & Zheng, Hong, 2007. "Real-time mobilization decisions for multi-priority emergency response resources and evacuation groups: Model formulation and solution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 710-736, November.
    5. Sherali, Hanif D. & Carter, Todd B. & Hobeika, Antoine G., 1991. "A location-allocation model and algorithm for evacuation planning under hurricane/flood conditions," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 439-452, December.
    6. John J. Jarvis & H. Donald Ratliff, 1982. "Note---Some Equivalent Objectives for Dynamic Network Flow Problems," Management Science, INFORMS, vol. 28(1), pages 106-109, January.
    7. Yu-Ting Hsu & Srinivas Peeta, 2013. "An aggregate approach to model evacuee behavior for no-notice evacuation operations," Transportation, Springer, vol. 40(3), pages 671-696, May.
    8. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    9. Cova, Thomas J. & Johnson, Justin P., 2003. "A network flow model for lane-based evacuation routing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(7), pages 579-604, August.
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    1. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-017-9339-0 is not listed on IDEAS
    2. repec:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9332-z is not listed on IDEAS
    3. repec:eee:transe:v:105:y:2017:i:c:p:39-59 is not listed on IDEAS
    4. repec:kap:netspa:v:17:y:2017:i:1:d:10.1007_s11067-016-9323-0 is not listed on IDEAS

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