MIDTERM Flashcards
is the scientific approach to execute decision making
Operations Research
Another term used for OR in US
Management Science
other terms in OR
Industrial Engineering” (“IE”) and “Decision Science” (“DS”).
What are the Deterministic Models
Linear Programming
Network Optimization
Integer Programming
Nonlinear Programming
Inventory Models
What are the Stochastic Models
Discrete-Time Markov Chains
Continuous-Time Markov Chains
Queuing Theory
Decision Analysis
Game Theory
Inventory models
Simulation
assume all data are known with certainty
Deterministic models
explicitly represent uncertain data via random variables or stochastic processes.
Stochastic models
characterize / estimate system performance.
Stochastic models
it involve optimization
Deterministic models
When OR originated
World War II
The application of maths in the real world
Operations Research
give real application in OR eg in SM
Understanding people’s buying patterns
Determining the number of staff needed on checkouts and at what times
Calculating how many of each product to be ordered and when to be delivered
OR is the maths used in sport, e.g.
Formula One pit stop strategy
Scheduling football games
Designing a stadium
is a way to solve problems in which one seeks to achieve the best outcome.
Optimisation
allows you to try out different approaches by simulating events numerous times and answer the “What if…?” question.
Simulation
is used to approximate a real queuing situation or system, so the queuing behavior can be analysed mathematically.
Queuing theory
7 Steps of Problem Solving
Identify and define the problem.
Determine the set of alternative solutions.
Determine the criteria for evaluating the alternatives.
Evaluate the alternatives.
Choose an alternative.
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Implement the chosen alternative.
Evaluate the results.
Potential Reasons for a Quantitative Analysis Approach to Decision Making
The problem is complex.
The problem is very important.
The problem is new.
The problem is repetitive.
is not a trivial step, due to the time required and the possibility of data collection errors.
Data preparation
is a series of rules, usually embodied in a computer program
logical Model
Problem must be translated from verbal, qualitative terms to logical, quantitative terms
Constructing a Model
is a collection of functional relationships by which allowable actions are delimited and evaluated.
mathematical model
are physical replicas (scalar representations) of real objects.
Iconic models
are physical in form, but do not physically resemble the object being modeled.
Analog models
represent real world problems through a system of mathematical formulas and expressions based on key assumptions, estimates, or statistical analyses.
Mathematical models
are representations of real objects or situations.
Models
Generally, experimenting with models
Advantages of Models
requires less time
is less expensive
involves less risk
Advantages of Models
A model consisting of linear relationships representing a firm’s objective and resource constraints.
Linear Programming (LP)
is a mathematical modeling technique used to determine a level of operational activity in order to achieve an objective, subject to restrictions called constraints
Linear Programming (LP)