Title
Incorporating the threat of terrorist attacks in the design of public service facility networks.
Abstract
In this paper, we consider the design problem of a public service facility network with existing facilities when there is a threat of possible terrorist attacks. The aim of the system planner, who is responsible for the operation of the network, is to open new facilities, relocate existing ones if necessary, and protect some of the facilities to ensure a maximum coverage of the demand that is assumed to be aggregated at customer zones. By doing so, the system planner anticipates that a number of unprotected facilities will be rendered out-of-service by terrorist attacks. It is assumed that the sum of the fixed cost of opening new facilities, the relocation costs, and the protection costs cannot exceed a predetermined budget level. Adopting the approach of gradual (or partial) coverage, we formulate a bilevel programming model where the system planner is the leader and the attacker is the follower. The objective of the former is the maximization of the total service coverage, whereas the latter wants to minimize it. We propose a heuristic solution procedure based on tabu search where the search space consists of the decisions of the system planner, and the corresponding objective value is computed by optimally solving the attacker’s problem using CPLEX. To assess the quality of the solutions produced by the tabu search (TS) heuristic, we also develop an exhaustive enumeration method, which explores all the possible combinations of opening new facilities, relocating existing ones, and protecting them. Since its time complexity is exponential, it can only be used for relatively small instances. Therefore, to be used as a benchmark method, we also implement a hill climbing procedure employed with the same type of moves as the TS heuristic. Besides, we carry out a sensitivity analysis on some of the problem parameters to investigate their effect on the solution characteristics.
Year
DOI
Venue
2012
10.1007/s11590-011-0412-1
Optimization Letters
Keywords
Field
DocType
Public service facility network design, Coverage model with interdiction, Bilevel programming
Hill climbing,Mathematical optimization,Heuristic,Bilevel optimization,Planner,Fixed cost,Time complexity,Maximization,Tabu search,Mathematics
Journal
Volume
Issue
ISSN
6
6
1862-4480
Citations 
PageRank 
References 
9
0.54
7
Authors
3
Name
Order
Citations
PageRank
Serhat Keçici190.54
Necati Aras246230.62
Vedat Verter342534.15