On the Transit-Based Evacuation Strategies in an Integrated Network Topology

Adhikari, Iswar Mani; Dhamala, Tanka Nath

doi:10.3126/nmsr.v37i1-2.34063

Cited by 4 publications

(5 citation statements)

References 20 publications

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“…− 𝛼𝛼 : (𝑦𝑦 ! ) (14) With the constraints (5)(6)(7)(8)(9)(10)(11)(12), the integrated problem can be reformulated to minimize 𝑇𝑇 HIJ such that:…”

Section: An Integrated Evacuation Planning Approachmentioning

confidence: 99%

“…It demands a minimum time limit such that all supplies can be sent to the sinks (safe places) from the sources (disastrous zones). There has been a fair amount of work regarding its different aspects, including the quickest transshipment, as referred by [3][4][5][6][7][8][9]. These problems are handled from different perspectives: transit-based, car-based, and pedestrian movements.…”

Section: Introductionmentioning

confidence: 99%

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Quickest Transshipment in the Prioritized Evacuation Network

Adhikari

2023

Kaumodaki J.

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Flow maximization, time minimization, and cost minimization are three main aspects of mathematical optimization problems. The evacuation planning problems are about flow maximization and/or time minimization problems in different dynamic evacuation networks. The quickest transshipment problem in such a network is to send exactly the right amount of flow out of each source and into each sink in the minimum overall time. In evacuation planning problems, the term flow stands for either the evacuees or the evacuees carrying vehicles. Here, we use the quickest transshipment strategy in a prioritized evacuation network. It consists of a collection and an assignment sub-network as the primary and secondary sub-networks, respectively. Pick-up locations are prioritized in the collection network. By treating such pick-up locations as sources, the available set of transit buses is assigned in the assignment sub-network to shift the evacuees to the sinks to achieve the quickest transshipment. Such an evacuation planning strategy is better suited for the simultaneous collection, assignment, and evacuation process in the prioritized evacuation network.

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“…− 𝛼𝛼 : (𝑦𝑦 ! ) (14) With the constraints (5)(6)(7)(8)(9)(10)(11)(12), the integrated problem can be reformulated to minimize 𝑇𝑇 HIJ such that:…”

Section: An Integrated Evacuation Planning Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quickest Transshipment in the Prioritized Evacuation Network

Adhikari

2023

Kaumodaki J.

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“…Such VRPs are for the efficient distribution of goods from different depots to the customers to design the least cost delivery whereas, in the TEP problems, the objectives are to minimize the duration of evacuation by routing and scheduling a fleet of homogeneous and capacitated vehicles like the buses, which were initially located at one or more depots. For more details about such problems and their variants, we refer to Adhikari & Dhamala (2020a), Adhikari & Dhamala (2020b), Dhamala & Adhikari (2018), Adhikari et al (2020), Adhikari & Dhamala (2022), Adhikari (2023), and the references therein.…”

Section: Literature Reviewmentioning

confidence: 99%

Route Dominance on Symmetric Type Transit-based Evacuation Network

Adhikari¹

2023

Kanya J.

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The selection of dominant routes for transit-based evacuation planning problems mainly depends upon the structure and nature of the available network. To achieve efficient evacuation planning, the problem is not only on the selection of a route and a shelter for each route on the available network topology but also on the route-to-vehicle assignment and vice versa, which is more complex and challenging in real practice. The evacuation network adds complexity to the solution and impacts the problem. In this paper, the transit-based evacuation network has been revised from different perspectives focusing on the symmetric type networks with their dominant evacuation planning routes to have the minimum evacuation cost.

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“…In a prioritized evacuation system as in [11,12], evacuees are collected from the disaster zone to the prioritized pickup locations of the primary sub-network in the minimum time as the quickest transshipment by using the lex-max flow approach [13]. Considering such pickup locations as the sources, the available set of transit buses are also assigned in the network to evacuate the evacuees safely to the sinks on a first-come-first-serve basis and is better suited for the simultaneous flow of evacuees.…”

Section: An Integrated Prioritized Evacuation Systemmentioning

confidence: 99%

“…Constraint ( 13) needs T max to be greater than or equal to the maximum travel cost incurred by all buses and is to be maximized in (12).…”

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confidence: 99%

Quickest Transshipment in an Evacuation Network Topology

Adhikari

Dhamala

2021

The 1st International Electronic Conference on Algorithms

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The quickest transshipment of the evacuees in an integrated evacuation network topology depends upon the evacuee arrival pattern in the collection network and their better assignment in the assignment network with appropriate traffic route guidance, destination optimization, and an optimal route. In this work, the quickest transshipment aspect in an integrated evacuation network topology is revisited concerning a transit-based evacuation system. Appropriate collection approaches for the evacuees and their better assignment to transit vehicles for their quickest transshipment in an embedded evacuation network are presented with their solution strategies.

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On the Transit-Based Evacuation Strategies in an Integrated Network Topology

Cited by 4 publications

References 20 publications

Quickest Transshipment in the Prioritized Evacuation Network

Quickest Transshipment in the Prioritized Evacuation Network

Route Dominance on Symmetric Type Transit-based Evacuation Network

Quickest Transshipment in an Evacuation Network Topology

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