Minimizing total tardiness on one machine is NP-hard
Mathematics of Operations Research
Resource-constrained project scheduling: a survey of recent developments
Computers and Operations Research
Constraint-directed search: a case study of job-shop scheduling
Constraint-directed search: a case study of job-shop scheduling
Scheduling Parallel Machines for the Customer Order Problem
Journal of Scheduling
Order Scheduling in an Environment with Dedicated Resources in Parallel
Journal of Scheduling
A note on the complexity of the concurrent open shop problem
Journal of Scheduling
Scheduling orders for multiple product types to minimize total weighted completion time
Discrete Applied Mathematics
Computers and Operations Research
Mixed integer programming formulations for single machine scheduling problems
Computers and Industrial Engineering
Computers and Industrial Engineering
Computers and Operations Research
Single-Facility scheduling over long time horizons by logic-based benders decomposition
CPAIOR'10 Proceedings of the 7th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
A constraint integer programming approach for resource-constrained project scheduling
CPAIOR'10 Proceedings of the 7th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
Minimizing the sum of weighted completion times in a concurrent open shop
Operations Research Letters
Scheduling a dynamic aircraft repair shop with limited repair resources
Journal of Artificial Intelligence Research
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This paper considers a scheduling problem with component availability constraints in a supply chain consisting of two manufacturing facilities and a merge-in-transit facility. Three mixed-integer programming (MIP) models and a constraint programming (CP) model are compared in an extensive numerical study. Results show that when there are no components shared among the two manufacturers, the MIP model based on time-index variables is the best for proving optimality for problems with short processing times whereas the CP model tends to perform better than the others for problems with a large range of processing times. When shared components are added, the performance of all models deteriorates, with the time-indexed MIP providing the best results. By explicitly modelling the dependence of scheduling decisions on the availability of component parts, we contribute to the literature on the integration of inventory and scheduling decisions, which is necessary for solving realistic supply chain problems.