The Stochastic Arrival Problem

Thomas Webster

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We study a new modification of the Arrival problem, which allows for nodes that exhibit random as well as controlled behaviour, in addition to switching nodes. We study the computational complexity of these extensions, building on existing work on Reachability Switching Games. In particular, we show for versions of the arrival problem involving just switching and random nodes it is PP-hard to decide if their value is greater than a half and we give a PSPACE decision algorithm.
Original languageEnglish
Title of host publicationProceedings of the 16th International Conference on Reachability Problems
EditorsAnthony W. Lin, Georg Zetzsche, Igor Potapov
PublisherSpringer, Cham
Number of pages15
ISBN (Electronic)978-3-031-19135-0
ISBN (Print)978-3-031-19134-3
Publication statusPublished - 12 Oct 2022
EventThe 16th International Conference on Reachability Problems, 2022 - Kaiserslautern, Germany
Duration: 17 Oct 202219 Oct 2022
Conference number: 16

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Cham
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


ConferenceThe 16th International Conference on Reachability Problems, 2022
Abbreviated titleRP 2022
Internet address


  • Arrival
  • Markov Chains
  • Reachability Switching Games
  • MDPs
  • Simple Stochastic Games


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