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Variations on the Stochastic Shortest Path Problem

Authors: Randour, Mickael; Raskin, Jean-François; Sankur, Ocan;

Variations on the Stochastic Shortest Path Problem

Abstract

In this invited contribution, we revisit the stochastic shortest path problem, and show how recent results allow one to improve over the classical solutions: we present algorithms to synthesize strategies with multiple guarantees on the distribution of the length of paths reaching a given target, rather than simply minimizing its expected value. The concepts and algorithms that we propose here are applications of more general results that have been obtained recently for Markov decision processes and that are described in a series of recent papers.

Invited paper for VMCAI 2015

Countries
France, France, Belgium
Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Informatique générale, Formal Languages and Automata Theory (cs.FL), Computer Science - Formal Languages and Automata Theory, Logic in Computer Science (cs.LO), Computer Science - Computer Science and Game Theory, Optimization and Control (math.OC), Informatique mathématique, FOS: Mathematics, Mathematics - Optimization and Control, [INFO.INFO-FL] Computer Science [cs]/Formal Languages and Automata Theory [cs.FL], Computer Science and Game Theory (cs.GT)

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    17
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Top 10%
Green