Course title:  Operational Research I 
Semester:   item not defined  
Course supervisor:  doc. Ing. Jan Fábry, Ph.D. 
Supervising department:  Department of Production, Logistics and Quality Management (ŠAVŠ) 
Prerequisites for registration:  not Bachelor state examination 
Time allowance:  fulltime, 2/2 (hours of lectures per week / hours of seminars per week) parttime, 0/16 (lectures per period / seminars per period) 
Type of study:  usual 
Form of teaching:  lecture, seminar 
Mode of completion and credits:  Exam (4 credits) 
Course objective: 
Main aim of the course is to acquaint students with selected methods and models for managerial decision making support and help them in real applications in their managerial practice. The studens work with current software tools for optimization and decision making support. 

Course methods:  Lecture notes followed by seminars. 

Course content: 
1.  Introduction to operations research. (allowance 2/2)   a.  Mathematical modelling. Phases of decision process.  b.  Basic OR fields.  c.  Applications of OR models. 
 2.  Linear programming. (allowance 2/2)   a.  Mathematical models.  b.  Basic definitions of LP.  c.  Graphical solution of LP problems.  d.  Software tools for LP problems. 
 3.  Linear programming. (allowance 2/2)   a.  Typical applications of LP models.  b.  Interpretation of results (reduced costs, shadow prices). 
 4.  Linear programming. (allowance 2/2)   a.  Typical applications of LP models.  b.  Special cases in solving LP problems.  c.  Sensitivity analysis of LP solutions.  d.  Integer LP problems and their solving. 
 5.  Linear programming  distribution problems. (allowance 2/2)   a.  Transportation problem  definition and mathematical models. Initial basic solution  northwest corner method, matrix minimum method.  b.  Container transportation problem. 
 6.  Linear programming  distribution problems. (allowance 2/2)   a.  Assignment problem.  b.  Travelling salesman problem.  c.  Covering problem. 
 7.  Graph theory and its applications. (allowance 2/2)   a.  Basic definitions. Optimization problems on graphs.  b.  Minimal spanning tree problem.  c.  Shortest path problem. 
 8.  Project management (allowance 2/2)   a.  Construction of network for project management.  b.  Critical Path Method. 
 9.  Project management (allowance 2/2)   a.  Program Evaluation and Review Technique. 
 10.  Inventory management. (allowance 2/2)   a.  Basic definitions. Deterministic inventory models  economic order quantity (EOQ) model.  b.  EOQ model with quantity discounts. 
 11.  Inventory management. (allowance 2/2)   a.  Production order quantity (POQ) model.  b.  Stochastic inventory models. 
 12.  Waiting lines models. (allowance 2/2)   a.  Structure of a waiting line system. Basic definitions.  b.  Singleserver exponential waiting line model.  c.  Optimization in multiserver exponential waiting line model. 



Learning outcomes and competences: 
After completing the course, student:     Will apply mathematical modelling procedures to elementary decisionmaking and optimization tasks    Will describe elementary managerial problems that can be addressed effectively through optimization    Will interpret and break down obtained results, including the verification and validation of the model used    Will understand and explain the principles of optimization in typical and special managerial tasks 


Teaching methods and workload (hours of workload): 
Type of teaching method  Daily attendance  Combined form  Direct teaching  Attendance of lectures  24 h  8 h  Attendance of courses/seminars/tutorials  24 h  8 h  Selfstudy  Course reading and ongoing preparation  14 h  22 h  Ongoing evaluation  14 h  0 h  Composing of individual (seminar) work  16 h  32 h  Preparation for final test  20 h  42 h  Total  112 h  112 h 


Assessment methods: 
Requirement type  Daily attendance  Combined form 

Active lecture/seminar/workshop/tutorial participation  10 %  10 %  Term paper  10 %  30 %  Midterm test(s)  20 %  0 %  Final test  60 %  60 %  Total  100 %  100 % 


Course completion: 
Midterm test, seminar work and final written exam. 

Support for combined/distance forms of study: 
Study support guide. 

Reading list: 
Basic:  Language of instruction: Czech  JABLONSKÝ, J. Operační výzkum.: Kvantitativní modely pro ekonomické rozhodování. 3rd ed. Praha: Professional Publishing, 2007. 323 p. ISBN 9788086946443.    Language of instruction: English  TURBAN, E.  MEREDITH, J R. Fundamentals of Management Science. Irwin: Homewood, 1988. ISBN 0256062560. 
  Recommended:  Language of instruction: Czech  FÁBRY, J. Matematické modelování. 1st ed. Praha: Professional Publishing, 2011. 180 p. ISBN 9788074310669.  JABLONSKÝ, J. Programy pro matematické modelování. Praha: Oeconomica, 2011. 258 p. ISBN 9788024518107.    Language of instruction: English  WILLIAMS, T.  SWEENEY, D.  ANDERSON, D. Management Science:Quantitative Approaches to Decision Making, 7th ed. New York: West Publ., 1994. 


Study plans: 
BEMBAL Business Administration and Operations, Logistics and Quality Management, fulltime form, initial academic year WS 2013/2014 BEMBAL Business Administration and Operations, Logistics and Quality Management, parttime form, initial academic year WS 2013/2014 Track BLMK Logistics and Quality Management parttime form, initial academic year WS 2019/2020 Track BLMKE Logistics and Quality Management fulltime form, initial academic year WS 2019/2020 Track BLMK Logistics and Quality Management fulltime form, initial academic year WS 2019/2020 BPM Průmyslový management, fulltime form, initial academic year WS 2019/2020 

Run in the period of:  WS 2019/2020, WS 2018/2019, WS 2017/2018, WS 2016/2017, WS 2015/2016, SS 2012/2013 (and older) 
Course tutor:  doc. Ing. Jan Fábry, Ph.D. (supervisor) prof. Dr. Ing. Otto Pastor, CSc. (examiner, instructor, lecturer) 
Teaching language:  Czech, English 
Room:  Mladá Boleslav 