Optimisation and Operations Management

The resource planning is a core issue in business and management. The limitations imposed by the availability
of resources within organizations, together with the definition of objectives often conflicting in nature,
introduced an additional complexity to these problems at all the related decision-making processes. These
imperatives assume a leading role for organizations.
Thus, the objective of this course unit, UC, is to motivate students to the importance of the issues related with
the management of operations using an optimization perspective, that accounts for the new demands placed to
management, to optimization and to the monitoring of the entire decision-making process. To attend this
purpose, a set of techniques supported on the mathematical modeling are presented and illustrated.
The proposed approach aims to create and develop skills within the operations management and optimization
(OMO), that accounts also for different time scales and resources availability.

1- Organization and Management of Operations in SMEs
1.1 Operations and Operations Management
1.2 Operations Strategy
1.3 Capacity Planning
1.4 Stocks’ Management
1.5 Performance Evaluation
2 – Introduction to the Optimal Management of Operations (OMO)
2.1 Formal translation of problems: Relations / Formulation / Model;
2.2 Model and Optimization Models;
2.3 Mathematical Modeling within the OMO – illustrative cases
3 – Linear Programming (LP) and Integer Linear Programming (ILP)
3.1 Formal translation of LP and ILP problems
3.2 Properties and resolution methods
3.3 Economical Interpretation of problems’ Optimal Solution
3.4 Sensitivity analysis to LP model parameters
3.5 Modeling using binary variables
3.6 Case studies: resolution with computational tools
4 – Applications of Linear Programming and Integer Linear Programming
5.1 Production planning
5.3 Production Scheduling and storage policies
5.4 Projects Management

NAO