Course title:  Operational Research II 
Semester:  SS 2019/2020 
Course supervisor:  doc. Ing. Jan Fábry, Ph.D. 
Supervising department:  Department of Production, Logistics and Quality Management (ŠAVŠ) 
Prerequisites for registration:  Bachelor state examination 
Time allowance:  fulltime, 1/2 (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. 

Course methods:  Lecture notes followed by seminars. 

Course content: 
1.  Introduction to operations research. Linear programming. (allowance 2/2)   a.  Decisionmaking process.  b.  History of operations research, classification of disciplines, typical applications.  c.  Introduction to linear programming.  d.  Formulation of typical linear programming problems and their mathematical models. 
 2.  Linear programming. (allowance 0/2)   a.  Formulation of typical linear programming problems and their mathematical models.  b.  Solving problems and interpretation of results. 
 3.  Linear programming. Distribution problems. (allowance 2/2)   a.  Formulation of typical linear programming problems and their mathematical models.  b.  Transportation problem. 
 4.  Distribution problems. (allowance 0/2)   a.  Generalized distribution problem.  b.  Container transportation problem. 
 5.  Distribution problems. Graph theory. (allowance 2/2)   a.  Assignment problem.  b.  Travelling salesman problem.  c.  Introduction to graph theory. 
 6.  Graph theory. (allowance 0/2)   a.  Optimization problems on graphs. 
 7.  Project management. (allowance 2/2)   a.  Introduction to project management.  b.  CPM. 
 8.  Project management. (allowance 0/2)    9.  Inventory models. (allowance 2/2)   a.  Introduction to inventory models.  b.  Deterministic inventory models  economic order quantity (EOQ) model. 
 10.  Inventory models. (allowance 0/2)   a.  Production order quantity (POQ) model. 
 11.  Inventory models. Waiting line models. (allowance 2/2)   a.  Stochastic inventory models.  b.  Structure of a waiting line system. Basic definitions.  c.  Classifications of models. Singleserver exponential waiting line model. 
 12.  Waiting line models. (allowance 0/2)   a.  Singleserver exponential waiting line model.  b.  Optimization in multiserver exponential waiting line model. 



Learning outcomes and competences: 
After completing the course, student:     Will apply mathematical modelling procedures to more complex decisionmaking and optimization tasks    Will interpret and break down obtained results, including the verification and validation of the model used    Will select, on the base of data analysis, the most appropriate tool for obtaining an effective solution    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  12 h  8 h  Attendance of courses/seminars/tutorials  24 h  8 h  Selfstudy  Course reading and ongoing preparation  10 h  10 h  Ongoing evaluation  18 h  0 h  Composing of individual (seminar) work  16 h  34 h  Preparation for final test  32 h  52 h  Total  112 h  112 h 


Assessment methods: 
Requirement type  Daily attendance  Combined form 

Active lecture/seminar/workshop/tutorial participation  15 %  10 %  Term paper  15 %  30 %  Midterm test(s)  20 %  0 %  Final test  50 %  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.  DUDORKIN, J. Operační výzkum . Praha: Vydavatelství ČVUT , 2002. 296 p. ISBN 8001024695.  GROS, I.  DYNTAR, J. Matematické modely pro manažerské rozhodování.: 2. upravené a rozšířené vydání. 2nd ed. Praha: VŠCHT, 2015. ISBN 9788070809105.    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: 
Track NRMDR International Supply Chain Management fulltime form, initial academic year WS 2019/2020 Track NRMDR International Supply Chain Management parttime form, initial academic year WS 2019/2020 Track NRMDR International Supply Chain Management parttime form, initial academic year SS 2019/2020 Track NRMDRE International Supply Chain Management fulltime form, initial academic year SS 2019/2020 Track NRMDR International Supply Chain Management fulltime form, initial academic year SS 2019/2020 

Run in the period of:  WS 2019/2020, SS 2018/2019, WS 2018/2019, SS 2017/2018, WS 2017/2018, SS 2016/2017 (and older) 
Course tutor:  doc. Ing. Jan Fábry, Ph.D. (examiner, instructor, lecturer, supervisor) Ing. Tomáš Malčic (examiner, instructor, lecturer) 
Teaching language:  Czech, English 
Room:  Mladá Boleslav, Praha 