Introducing Interdependent Simple Temporal Networks with Uncertainty for Multi-Agent Temporal Planning

Simple Temporal Networks with Uncertainty are a powerful and widely used formalism for representing and reasoning over convex temporal constraints in the presence of uncertainty called contingent constraints. Since their introduction, they have been used in planning and scheduling applications to model situations where the scheduling agent does not control some activity durations or event timings. What needs to be checked is then the controllability of the network, i.e., that there is a valid execution strategy whatever the values of the contingents. This paper considers a new type of multi-agent extension, where, as opposed to previous works, each agent manages its own separate STNU, and the control over activity durations is shared among the agents: what is called here a contract is a mutual constraint controllable for some agent and contingent for others. We will propose a semantically enriched version of STNUs that will be composed into a global Multi-agent Interdependent STNUs model. Then, controllability issues will be revisited, and we will focus on the repair problem, i.e., how to regain failed controllability by shrinking some of the shared contract durations, here in a centralized manner.