Abstract
A two-stage stochastic integer program to determine an optimal schedule for jobs requiring multiple classes of resources under uncertain processing times, due dates, resource consumption and availabilities is formulated. Temporary resource capacity expansion for a penalty is allowed. Potential applications of this model include team scheduling problems that arise in service industries such as engineering consulting and operating room scheduling. An exact solution method is developed based on Benders decomposition for problems with a moderate number of scenarios. Benders decomposition is then embedded within a sampling-based solution method for problems with a large number of scenarios. A sequential sampling procedure is modified to allow for approximate solution of integer programs and its asymptotic validity and finite stopping are proved under this modification. The solution methodologies are compared on a set of test problems. Several algorithmic enhancements are added to improve efficiency.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
