Scheduling Jobs Subject to Nonhomogeneous Poisson Shocks

Consider n tasks which must be attempted in some order. To successfully complete any given task requires a random amount of time. However, we suppose that there are external events, called shocks, which occur according to a nonhomogeneous Poisson process. If no shocks occur while a task is being performed, then that task is considered a success. If a shock does occur, then work on that task ends and work on the next one begins. We consider such problems as maximizing The expected number of successful tasks; The length of time until no tasks remain; The expected total reward earned; where a reward R 1 is obtained upon successful completion of task i.

• 저널Management Science · 26(12) · 1250–1257
• 토픽Scheduling and Optimization Algorithms · Industrial and Manufacturing Engineering
• DOI10.1287/mnsc.26.12.1250
• 저자Michael Pinedo, Sheldon M. Ross