Simulation Science Problems We Solve

MODELING:
  • ENTITY-RELATIONSHIP MODELS—How parts of a system fit into the whole
    • What are the components of a software system and how do those components interface to one another?
  • DYNAMICAL MODELS—Systems defined by difference equations or differential equations
    • How do metabolite concentrations in a cell change in response to a change in temperature or pH?
    • What is the physics of a satellite orbit, considering that the Earth's gravitational field is not quite spherical?
    • How do the populations of the different species in an ecosystem relate to one another?
  • NETWORK MODELS—Graphs as system models (i.e. flow shops)
    • Which micro-RNAs regulate which genes?
  • STOCHASTIC MODELSSystems defined by uncertainty
    • What is the likelihood of a sick patient being dead (or healthy) next year?
    • What is the likelihood that two particles colliding in the upper atmosphere will chemically react with one another?
SIMULATION:
  • MARKOV PROCESSES—Systems whose behavior is dominated by probabilistic state transition
    • What are the expected traffic patterns in a new neighborhood?
  • DYNAMICAL PROCESSESSystems whose behavior is dominated by time evolution
    • Where will the satellite be in two hours?
  • DISCRETE EVENT PROCESSESSystems whose behavior is defined by discrete interactions
    • How much more likely is a submarine to survive in a sub-to-sub battle if it has a better active detection system?
CONTROL:
  • PLANNING AND SCHEDULING—Determining the best actions to take
    • Given what sensors tell us about the enemy's strongholds, and knowing their facility with decoys, how should we deploy our defenses to withstand an attack? 
  • OPTIMIZATION—Determining the best choice amongst a set of possibilities
    • What is our best corporate spending strategy: should we invest more in advertising, or more in R&D to improve product quality? 


S3 Data Science
S3 Data Science, copyright 2015.