Slowing down sorting networks to obtain faster sorting algorithms
Journal of the ACM (JACM)
Sensitivity analysis in minisum facility location problems
Operations Research
Efficient algorithms for geometric optimization
ACM Computing Surveys (CSUR)
Mathematics of Operations Research
Applying Parallel Computation Algorithms in the Design of Serial Algorithms
Journal of the ACM (JACM)
Synthesis of Parallel Algorithms
Synthesis of Parallel Algorithms
Minmax Regret Median Location on a Network Under Uncertainty
INFORMS Journal on Computing
Complexity of robust single facility location problems on networks with uncertain edge lengths
Discrete Applied Mathematics
Minmax regret solutions for minimax optimization problems with uncertainty
Operations Research Letters
Minimax Regret Single-Facility Ordered Median Location Problems on Networks
INFORMS Journal on Computing
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We consider a version of the 1-median problem on a network with uncertain weights of nodes. For each node, only an interval estimate of its weight is known. It is required to find the minmax relative regret location, i.e., to minimize the worst-case ratio of the loss in the objective-function value (opportunity loss) that may occur because a decision is made without knowing which state of nature (scenario) will take place, to the best possible value of the objective function under the realized scenario. We present a polynomial O(mn3 log n) algorithm for this problem on a general network. We also present fast algorithms for networks with special structure (trees and paths).