Abstract network flow with intermediate storage for evacuation planning

Urmila Pyakurel, Durga Prasad Khanal and Tanka Nath Dhamala

European Journal of Operational Research, 2023, vol. 305, issue 3, 1178-1193

Abstract: The abstract network is a generalization of the classical network which is associated with the set of elements and linearly ordered subset of elements, known as paths, that satisfy switching property. Each element is equipped with an integral capacity of two types, movement capacity which transships the flow from the element and storage capacity which stores the flow at the element. In the evacuation process, every individual may not be sent to the final destination due to capacity or time constraints. So, the storage of evacuees at intermediate elements can be a milestone to save the life of people. In this paper, we present polynomial time algorithms to solve maximum static, lexicographic maximum static and maximum dynamic flow problems in an abstract network. We also present the solution procedure to these problems in the abstract contraflow networks having symmetric as well as asymmetric transit times between the pair of adjacent elements.

Keywords: Abstract flow; Switching property; Intermediate storage; Evacuation planning; Asymmetric transit time (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221722005434
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:305:y:2023:i:3:p:1178-1193

DOI: 10.1016/j.ejor.2022.06.054

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().