LESSON PLAN FOR OPERATIONS RESEARCH
Faculty Name: Mrs. Sk Salman beebi
Department of mechanical engineering
Assistant professor
ALIET
Micro lesson plan
LEARNING OBJECTIVES
1. To learn the importance of
Operations Research
2. To know how to apply the
learnt concepts in the design, planning, scheduling, manufacturing and business applications
3. To know how to use various
techniques of Operations Research in solving such problems
COURSE OUTCOMES for UNIT-1:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding the basic concepts of operations research and its day
to day life events |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the LPP’s |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
UNIT: 1 INTRODUCTION AND ALLOCATION:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
Day1 |
INTRODUCTION: Development – definition, Characteristics and phases |
To discuss about the
importance of OR, applications and various phases of development in OR |
Refer Textbook on OR in
relate to specific topic |
Explanation on importance
history of OR 25 min, applications of OR in various fields 25 min summing of
the class 10 min |
Quiz |
Day2 |
Types of operation research models –
applications |
kinds of resource allocation models |
Refer Textbook on OR in
relate to specific topic |
Brushing of previous class
10 min, Explanation of today's concept OR models 40 min summing of the class
10 min |
Discussion |
Day3 |
ALLOCATION: Linear programming problem formulation |
Formulation of LPP with different kind of
constraints |
Refer Textbook on OR in
relate to specific topic |
Brushing of previous class
10 min, Explanation of today's concept LPP formulation 40 min summing of the
class 10 min |
Practice problems |
Day4 |
Graphical solution |
procedure for solving an
LPP using graphical method |
should know about the LPP formulation and formation of constraints should know about the LPP formulation and formation of
constraints |
Brushing of previous class 10 min, Explanation of
today's concept graphical method 40 min summing of the class 10 min |
Quiz |
Day5 |
Graphical solution- PROBLEMS |
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Day6 |
Simplex method |
solving various kinds of problems of LPP using simplex method, when
different constraints are given. |
should know
about the LPP formulation and formation of constraints |
Brushing of
previous class 10 min, Explanation of today's concepts simplex method 40 min
summing of the class 10 min |
Practice problems |
Day7 |
Simplex method-PROBLEMS |
solving various kinds of problems of LPP using two- phase method,
when different constraints are given. |
should know about the LPP formulation and formation of constraints |
Brushing of
previous class 10 min, Explanation of today's concepts Two phase method 40
min summing of the class 10 min |
Discussion |
Day8 |
Artificial variables techniques - two–phase
method |
solving various kinds of
problems of LPP using big M method when different constraints are given. |
should know about the LPP
formulation and formation of constraints |
Brushing of previous class
10 min, Explanation of today's concepts big M method summing of the class 10
min |
Practice problems |
Day9 |
Big-M method – duality principle |
solving various kinds of
problems of LPP using duality principle when different constraints are given. |
should know about the LPP
formulation and formation of constraints |
Brushing of previous class
10 min, Explanation of today's concepts duality method 40 min summing of the
class 10 min |
Practice problems |
Day10 |
At the end of unit, enough time is given for the clarification of
doubts and assignment on unit-1 is given. Students must submit the assignment
softcopy through LMS (if provided). |
||||
Day11 |
A Discussion/Quiz forum
was created unit wise where students can discuss themselves and the faculty
can clarify their doubts |
COURSE OUTCOMES for UNIT-2:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding
the basic concepts of Transportation and Sequencing |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the Transportation and sequencing
problems |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
UNIT: 2 TRANSPORTATION AND SEQUENCING:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
Day1 |
TRANSPORTATION
PROBLEM |
Introduction to Transportation Problem |
Refer Textbook on OR in relate to specific topic |
Explanation about
transportation model its importance and various models associated with it 40
min, summing up the class 20 min |
Discussion |
Day2 |
Formulation – optimal solution |
About formulation of the
problem and finding the optimal solution |
Brief look on the
introduction to transportation problem |
Revising the previous day
concepts 15 min, formulating the transportation problem 35 min, summing up
the class 10 min |
Discussion |
Day3 |
Unbalanced transportation problem
Degeneracy, |
About balanced and
unbalanced transportation problems and degeneracy |
Brief look on the previous
class about formulation of the problem |
Revising the previous day
concepts 15 min, formulating the balanced and unbalanced prob 35 min, summing
up the class 10 min |
Practice problems |
Day4 |
Assignment problem – formulation |
Formulation of assignment
problems |
Refer Textbook on OR in
relate to specific topic |
Explanation about the importance and kinds of assignment models 40
min, summing up the class 20 min |
Quiz |
Day5 |
Variants of assignment problem |
Solving various models in assignment
problems |
Brief look on formulation
of assignment problem |
Revising
the previous day concepts 15 min, formulating the assignment problem 35 min. summing
up the class 10 min |
Discussion |
Day6 |
Traveling salesman problem |
Solving Travelling salesman problem |
Revise the concept on assignment model |
Revising
the previous day concepts 15 min, formulating the travelling salesman
problem35 min. summing up the class 10 min |
Discussion and practice |
Day7 |
SEQUENCING |
Introduction to Sequencing |
About basic definition of
sequencing |
Explanation about the
concept of sequencing 40 min summing up the class 20 min |
Discussion |
Day8 |
Introduction – flow –shop sequencing |
about flow shop sequencing |
Revise about the previous
concepts of sequencing |
Revising the previous day
concepts 15 min, about flow shop scheduling formulation 35 min summing up the
class 10 min |
Quiz |
Day9 |
n jobs
through two machines |
problems on n jobs through two machines |
Brief look on flow shop
sequencing |
Revising the previous day
concepts 10 min, solving prob on n jobs through 2 machines 40 min, summing up
the class 10 min |
Practice problems |
Day10 |
n jobs through three
machines |
problems on n jobs through three machines |
Revise the problems on n
jobs through two machines |
Revising
the previous day concepts 10 min, solving prob on n jobs through 3 machines
40 min, summing up the class 10 min |
Quiz |
Day11 |
Job shop sequencing |
About Job shop sequencing |
Revise about sequencing
concepts |
Revising
the previous concepts 15 min, formulating job shop sequencing 35 min, summing
up the class 10 min |
Discussion |
Day12 |
Two jobs through ‘m’ machines. |
Problems on two jobs through n machines |
Revise the problems on
sequencing |
Revising
the previous day concepts 10 min, solving prob on 2 jobs through n machines
40 min, summing up the class 10 min |
Discussion and practice |
Day13 |
At the end of unit, enough
time is given for the clarification of doubts and assignment on unit-2 is
given. Students must submit the assignment softcopy through LMS (if
provided). |
||||
Day14 |
A Discussion/Quiz forum was created unit wise where students can
discuss themselves and the faculty can clarify their doubts |
COURSE OUTCOMES for UNIT-3:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding
the basic concepts of Replacement |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the Transportation and sequencing
problems |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
UNIT:3 REPLACEMENT:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
Day1 |
REPLACEMENT |
Introduction to
replacement |
Refer Textbook on OR in
relate to specific topic |
Explanation about the
concept of replacement and various models in it 45 min, summing up the class
15 min |
Discussion |
Day2 |
Introduction – replacement
of items that deteriorate with time |
About replacement of items
that deteriorate with time and problems on them |
Brief look on the concepts
of replacement which was discussed in the previous class |
Revising the previous day
concepts 15min, problem solving on replacement 35 min, summing up the class
10 min |
Quiz |
Day3 |
Problems on replacement of items |
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Day4 |
When money value is not counted and counted |
About replacement when
money value is not counted, and money value is counted |
Brief look on the concepts of replacement |
Revising the previous day concepts 10min, problem
solving on replacement when money value is counted and not counted 40 min, summing up
the class 10 min |
Quiz |
Day5 |
Problems on when money
value is not counted |
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Day6 |
Replacement of items that fail completely |
About replacement of items that fail
completely |
Brief look on the concepts of replacement |
Revising the previous day
class 15 min, problem solving on replacement when object is completely failed
35 min, summing up the class 10 min |
Practice problems |
Day7 |
Group replacement |
About Group Replacement
and problems on group replacement |
Brief look on the concepts of replacement |
Revising the previous day
concepts 10min, problem solving on group replacement 40 min, summing up the
class 10 min |
Discussion and practice |
Day8 |
Problems on Group
replacement |
||||
Day9 |
At the end of unit, enough
time is given for the clarification of doubts and assignment on unit-3 is
given. Students must submit the assignment softcopy through LMS (if
provided). |
||||
Day10 |
A Discussion/Quiz forum was created unit wise where students can
discuss themselves and the faculty can clarify their doubts |
COURSE OUTCOMES for UNIT-4:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding
the basic concepts of Theory of games and Waiting lines concepts |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the Transportation and sequencing
problems |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
Unit: 4 THEORY OF GAMES AND WAITING LINES:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
Day1 |
THEORY OF
GAMES |
Introduction of theory of
games |
Refer Textbook on OR in
relate to specific topic |
Introduction about theory
of games with it 45 min, summing up the class 15 min |
Discussion |
Day2 |
Introduction – mini. max
(max. mini) |
About mini max and maxi min concept in theory of
games |
Brief look about the introduction of theory of games |
Revising the previous class 10 min, About the concepts in theory of
games 40 min, summing up the class 10 min |
Quiz |
Day3 |
Criterion and optimal
strategy |
About criterion and
optimal strategy |
Brief look about the
introduction of theory of games and basic definitions |
Revising the previous class 10 min,
Discussion/Quiz about the optimal strategy concept and criterion 40 min,
summing up the class 10 min |
Discussion |
Day4 |
Solution of games with
saddle points |
Solving the theory of
games concept with saddle point |
Revise the previous day
concept on the method |
Revising the previous
class 10 min, problems on saddle points 40 min, summing up the class 10 min |
Practice problem |
Day5 |
Rectangular games without
saddle points |
Solving the theory of
games concept without saddle point |
Revise the previous day
concept on the method |
Revising the previous
class 10 min, Problems on without saddle points 40 min, summing up the class
10 min |
Quiz |
Day6 |
2 x 2 games |
solving 2*2 matrix game
problem |
Revise the previous day
concept on the method |
Revising the previous class 10 min, problems on 2*2 matrix 40 min,
summing up the class 10 min |
Practice problem |
Day7 |
Dominance principle |
About dominance principle |
Refer Textbook on OR in
relate to specific topic |
Revising the previous class 10 min, Concept
explanation on dominance principle and problems 40 min, summing up the class
10 min |
Discussion |
Day8 |
m x 2 & 2 x n games - graphical method |
About m x 2 & 2 x n games -graphical method |
Revise the previous day
concept on the method of dominance |
Revising the previous
class 10 min, problems in m x 2 & 2 x n games -graphical method 40 min,
summing up the class 10 min |
Practice problems |
|
WAITING
LINES |
||||
Day9 |
Introduction – single
channel |
Introduction to Waiting
lines and about single channel concept |
Refer Textbook on OR in
relate to specific topic |
Introduction to Waiting lines |
Discussion |
Day10 |
Poison arrivals – exponential service times – with infinite population |
About Posion arrivals
exponential service times with infinite population |
Brushing up the concepts
which are discussed in the previous class |
Revising the previous class10 min Posion arrivals exponential service
times with infinite population 40 min, summing the class 10 min |
Discussion |
Day11 |
Finite population models |
About Finite population
models |
Brushing up the concepts which are discussed in
the previous class |
Revising the previous
class10 min finite population method 40 min, summing the class 10 min |
Practice problems |
Day12 |
Multichannel – poison
arrivals |
About Multi channel
Poision arrivals |
Brushing up the concepts
which are discussed in the previous class |
Revising the previous
class10 min Multi channel arrival 40 min, summing the class 10 min |
Practice problems |
Day13 |
Exponential service times
with infinite population |
About exponential service
times with infinite population |
Brushing up the concepts
which are discussed in the previous class |
Revising the previous
class10 min exponential with infinite population 40 min, summing the class 10
min |
Practice problems |
Day14 |
Single channel poison
arrivals |
About single channel
poision arrivals |
Brushing up the concepts
which are discussed in the previous class |
Revising the
previous class10 min Single channel poision arrival 40 min, summing the class
10 min |
Practice problems |
Day15 |
At the end of unit, enough time is given for the clarification of
doubts and assignment on unit-4 is given. Students must submit the assignment
softcopy through LMS (if provided). |
||||
Day16 |
A Discussion/Quiz forum
was created unit wise where students can discuss themselves and the faculty
can clarify their doubts |
COURSE OUTCOMES for UNIT-5:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding
the basic concepts of Inventory concepts |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the Transportation and sequencing
problems |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
Unit: 5 INVENTORY:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
|
INVENTORY |
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Day1 |
Introduction – single item |
Introduction to Inventory
and single item and brief outlook on various models in inventory |
Basic definition of inventory |
Introduction to inventory
45 min, summing up the class 15 min |
Discussion |
Day2 |
Deterministic models –
purchase inventory models |
About Deterministic models |
Brief outlook on the
previous class concept |
Revising the previous
class 10 min, Problems on purchase inventory models 40 min, summing up the
class 10 min |
Discussion |
Day3 |
Purchase inventory models
with one price break |
About Purchase inventory models with
one-piece break |
Brief outlook on the deterministic models of inventory and various
models in it |
Revising the previous
class 10 min, Problems on one price break 40 min, summing up the class 10 min |
Discussion and practice |
Day4 |
Multiple price breaks |
About multiple price breaks |
Brief look on the models which are associated in inventory |
Revising the previous class 10 min, Problems on multiple price break
40 min, summing up the class 10 min |
Practice problem |
Day5 |
Shortages are not allowed |
About shortages not allowed inventory
concept |
Brief look on the models
or concepts which are associated in inventory |
Revising the previous class 10 min, Problems on shortages not allowed
model 40 min, summing up the class 10 min |
Discussion |
Day6 |
Stochastic models |
About stochastic inventory
model |
Brief look on the models or concepts which
are associated in inventory |
Revising the previous class 10 min,
Problems on stochastic models 40 min, summing up the class 10
min |
Discussion |
Day7 |
Demand may be discrete
variable or continuous variable |
To discuss about the
demand with discrete variable or continuous variable |
Brief look on the models
or concepts which are associated in inventory |
Revising the previous
class 10 min, Problems on discrete and continuous variable 40 min, summing up
the class 10 min |
Discussion |
Day8 |
Instantaneous production |
About instantaneous inventory production |
Brief look on the models
or concepts which are associated in inventory |
Revising the previous
class 10 min, Problems on Instantaneous production model 40 min, summing up
the class 10 min |
Discussion |
Day9 |
Instantaneous demand and
continuous demand and no set up |
About instantaneous
inventory demand and continuous demand |
Brief look on the models
or concepts which are associated in inventory |
Revising the previous
class 10 min, Problems on Instantaneous production model and continuous
production 40 min, summing up the class 10 min |
Discussion |
Day10 |
ABC & VED Analysis |
About ABC VED analysis
inventory concept |
Brief look on the models or concepts which are associated in
inventory |
Revising the previous class 10 min, Problems on ABC and VED models,
summing up the class 10 min |
Discussion |
Day11 |
At the end of unit, enough is given for the clarification of doubts
and assignment on unit-5 is given. Students must submit the assignment
softcopy through LMS (if provided). |
||||
Day12 |
A Discussion/Quiz forum
was created unit wise where students can discuss themselves and the faculty
can clarify their doubts |
COURSE OUTCOMES for UNIT-6:
S. No |
Type of outcome |
Outcome |
1 |
Factual |
Understanding
the basic concepts of Dynamic Programming |
2 |
Conceptual |
Usage mathematical tools for Solving the problems |
3 |
Procedural |
Understanding the steps in solving the Transportation and sequencing
problems |
4 |
Applied |
Applying the OR techniques in solving the industrial problems |
Unit: 6 DYNAMIC PROGRAMMING AND SIMULATION:
Day |
Topic |
Learning Objective |
Before class |
During class |
After class |
|
DYNAMIC PROGRAMMING |
||||
Day1 |
Introduction – Bellman’s
principle of optimality |
Introduction about Dynamic
Programming-Bellman's principle of optimality |
Textbook on Operations
Research |
Introduction to Dynamic
programming and bellman's principle 45 min, Summing up the class 10 min |
Discussion |
Day2 |
Applications of dynamic
programming |
About applications of Dynamic Programming |
Revising the basic
concepts that are dealt in the previous class related to DP |
Revising the previous class 10 min, dealing with the applications and
basic problems of DP 40 min, summing up the class 10 min |
Discussion |
Day3 |
Capital budgeting
problem |
About
capital budget problems |
Revising the formulation of dynamic programming
problems |
Revising the previous
class 10 min, Capital budgeting problems
40 min, summing up the class 10 min |
Discussion |
Day4 |
Shortest path problem |
About shortest path problem |
Revising the DP and
capital budget problems |
Revising the previous class 10 min, Solving shortest path problems 40
min, summing up the class 10 min |
Discussion |
Day5 |
Linear programming problem |
About linear programming
problem |
Revising LPP problems and
how they are solved in DP |
Revising the previous
class 10 min, LPP problems 40 min, summing
up the class 0 min |
Discussion |
|
SIMULATION |
||||
Day6 |
Definition – types of
simulation models |
About simulation and
definitions and types in simulation models |
Textbook on Operations
Research |
Discussing the concepts of
simulation and basic definitions and models 45 min, summing the class 15 min |
Quiz |
Day7 |
Phases of simulation–
applications of simulation |
About phases of simulation and applications |
Revising the fundamentals
of Simulation concepts that are dealt in previous class |
Revising the previous
class 10 min, phases and applications of simulation models 40 min, summing up
the class 10 min |
Discussion |
Day8 |
Inventory and queuing
problems |
About inventory and
queuing models |
Have a look
on queuing concepts in OR from the textbook |
Revising the previous
class 10 min, Problems on inventory and queuing |
Problem practice |
|
|
|
|
problems 40 min, Summing
the class 10 min |
|
Day9 |
Advantages and
disadvantages |
About advantages and
disadvantages |
Refer the textbook on
Operations Research |
Revising the previous class 10 min, advantages and disadvantages 20
min, summing up the concepts 30 min |
Quiz |
Day10 |
Simulation languages |
Various simulation languages |
Refer the textbook on
Operations Research |
Revising the previous class 10 min About
simulation languages 30 min, summing up the topics 20 min |
Quiz |
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