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A common misconception held by many is that
O.R. is a collection of mathematical tools. While it
is true that it uses a variety of mathematical
techniques, operations research has a much
broader scope. It is in fact a systematic approach
to solving problems, which uses one or more
analytical tools in the process of analysis. Perhaps
the single biggest problem with O.R. is its name; to
a layperson, the term "operations research" does
not conjure up any sort of meaningful image
 A common misconception held by many is that
O.R. is a collection of mathematical tools. While
it is true that it uses a variety of mathematical
techniques, operations research has a much
broader scope. It is in fact a systematic
approach to solving problems, which uses one
or more analytical tools in the process of
analysis. Perhaps the single biggest problem
with O.R. is its name; to a layperson, the term
"operations research" does not conjure up any
sort of meaningful image
 In this section some examples of successful real-world applications of operations research are
provided. These should give the reader an appreciation for the diverse kinds of problems that
O.R. can address, as well as for the magnitude of the savings that are possible. Without any
doubt, the best source for case studies and details of successful applications is the
journal Interfaces, which is a publication of the Institute for Operations Research and the
Management Sciences (INFORMS). This journal is oriented toward the practitioner and much of
the exposition is in laypersons' terms; at some point, every practicing industrial engineer should
refer to this journal to appreciate the contributions that O.R. can make. All of the applications that
follow have been extracted from recent issues of Interfaces.
 Before describing these applications, a few words are in order about the standing of operations
research in the real world. An unfortunate reality is that O.R. has received more than its fair
share of negative publicity. It has sometimes been looked upon as an esoteric science with little
relevance to the real-world, and some critics have even referred to it as a collection of
techniques in search of a problem to solve! Clearly, this criticism is untrue and there is plenty of
documented evidence that when applied properly and with a problem-driven focus, O.R. can
result in benefits that can be quite spectacular; the examples that follow in this section clearly
attest to this fact.
 On the other hand, there is also evidence to suggest that
(unfortunately) the criticisms leveled against O.R. are not completely
unfounded. This is because O.R. is often not applied as it should be -
people have often taken the myopic view that O.R. is a
specific method as opposed to a complete and systematic process. In
particular, there has been an inordinate amount of emphasis on the
modeling and solution steps, possibly because these clearly offer the
most intellectual challenge. However, it is critical to maintain a
problem-driven focus - the ultimate aim of an O.R. study is
to implement a solution to the problem being analyzed. Building
complex models that are ultimately intractable, or developing highly
efficient solution procedures to models that have little relevance to the
real world may be fine as intellectual exercises, but run contrary to the
practical nature of operations research! Unfortunately, this fact has
sometimes been forgotten. Another valid criticism is the fact that many
analysts are notoriously poor at communicating the results of an O.R.
project in terms that can be understood and appreciated by
practitioners who may not necessarily have a great deal of
mathematical sophistication or formal training in O.R. The bottom line
is that an O.R. project can be successful only if sufficient attention is
paid to each of the seven steps of the process and the results are
communicated to the end-users in an understandable form.
we look at an area that is readily appreciated by every
industrial engineer - production planning and due date quotation.
The semiconductor section of Harris Corporation was for a number
of years a fairly small business catering to a niche market in the
aerospace and defense industries where the competition was
minimal. However, in 1988 a strategic decision was made to acquire
General Electric's semiconductor product lines and manufacturing
facilities. This immediately increased the size of Harris
Semiconductor's operations and product lines by roughly three
times, and more importantly, catapulted Harris into commercial
market areas such as automobiles and telecommunications where
the competition was stiff. Given the new diversity of product lines
and the tremendous increase in the complexity of production
planning, Harris was having a hard time meeting delivery schedules
and in staying competitive from a financial perspective; clearly, a
better system was required.
For another application to production planning, but this time in a
continuous as opposed to discrete production environment, we look at a system in
use at Texaco [2]. One of the major applications of O.R. is in the area of gasoline
blending at petroleum refineries, and virtually all major oil companies use
sophisticated optimization models in this area. At Texaco the system is called
StarBlend and runs on networked microcomputers. As some background, the
distillation of crude petroleum produces a number of different products at different
distillation temperatures. Each of these may be further refined through cracking
(where complex hydrocarbons are broken into simpler ones) and recombination.
These various output streams are then blended together to form end-products such
as different grades of gasoline (leaded, unleaded, super-unleaded etc.), jet fuel,
diesel and heating oil. The planning problem is very complex, since different grades
of crude yield different concentrations of output streams and incur different costs,
and since different end-products fetch different revenues and use different amounts
of refinery resources. Considering just one product - gasoline - there are various
properties that constrain the blends produced. These include the octane number,
lead and sulfur content, volatilities and Reid vapor pressure, to name a few. In
addition, regulatory constraints impose certain restrictions as well.
For our third application we look at the use of a simulation model.
This model was applied to derive schedules for a Flexible Manufacturing
System (FMS) at Caterpillar, Inc. [3]. The interested reader may refer to
any text on computer integrated manufacturing for details about FMSs;
typically, they are systems of general purpose CNC machines linked
together by an automated material handling system and completely
controlled by computers. The FMS in question at Caterpillar had seven
CNC milling machines, a fixturing station and a tool station, with material
and tool handling being performed by four automated guided vehicles
(AGVs) traveling along a one-way guided wire path. FMSs can provide
tremendous increases in capacity and productivity because of the high
levels of automation inherent in them and their potential to manufacture a
wide variety of parts. On the other hand, this comes with a price; these
systems are also very complex and the process of planning and scheduling
production on an FMS and then controlling its operation can be a very
difficult one. The efficiency of the scheduling procedure used can have a
profound effect on the magnitude of the benefits realized.
One of the most challenging as well as rewarding application
areas of O.R. has been the airline industry. We briefly describe here one
such application at Delta Airlines [4]. The problem solved is often referred
to as the fleet assignment problem. Delta flies over 2500 domestic flight
legs each day and uses about 450 aircraft from 10 different fleets, and the
objective was to assign aircraft to flight legs in such a way that revenues
from seats are maximized. The tradeoff is quite simple - if a plane is too
small then the airline loses potential revenue from passengers who cannot
be accommodated on board, and if it is too large then the unoccupied
seats represent lost revenue (in addition to the fact that larger aircraft are
also more expensive to operate). Thus the objective is to ensure that an
aircraft of the "correct" size be available when required and where
required. Unfortunately, ensuring that this can happen is tremendously
complicated since there are a number of logistical issues that constrain the
availability of aircraft at different times and locations.
our final application we turn to the service sector and an
industry that employs many industrial engineers - banking. This
application [5] demonstrates how operations research was used to
enhance productivity and quality of service at KeyCorp, a bank
holding company headquartered in Cleveland, Ohio. Faced with
increasing competition from nontraditional sources and rapid
consolidation within the banking industry, KeyCorp's aim was to
provide a suite of world-class financial products and services as
opposed to being a traditional bank. The key element in being able
to do this effectively is high-quality customer service and a natural
trade-off faced by a manager was in terms of staffing and service -
better service in the form of shorter waiting times required additional
staffing which came at a higher cost. The objective of the project
was to provide managers with a complete decision support system
which was dubbed SEMS (Service Excellence Management
System).
This chapter provides an overview of operations
research, its origins, its approach to solving
problems, and some examples of successful
applications. From the standpoint of an industrial
engineer, O.R. is a tool that can do a great deal to
improve productivity. It should be emphasized that
O.R. is neither esoteric nor impractical, and the
interested I.E. is urged to study this topic further
for its techniques as well as its applications; the
potential rewards can be enormous.
Operation research ppt

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Operation research ppt

  • 1.
  • 2. A common misconception held by many is that O.R. is a collection of mathematical tools. While it is true that it uses a variety of mathematical techniques, operations research has a much broader scope. It is in fact a systematic approach to solving problems, which uses one or more analytical tools in the process of analysis. Perhaps the single biggest problem with O.R. is its name; to a layperson, the term "operations research" does not conjure up any sort of meaningful image
  • 3.  A common misconception held by many is that O.R. is a collection of mathematical tools. While it is true that it uses a variety of mathematical techniques, operations research has a much broader scope. It is in fact a systematic approach to solving problems, which uses one or more analytical tools in the process of analysis. Perhaps the single biggest problem with O.R. is its name; to a layperson, the term "operations research" does not conjure up any sort of meaningful image
  • 4.  In this section some examples of successful real-world applications of operations research are provided. These should give the reader an appreciation for the diverse kinds of problems that O.R. can address, as well as for the magnitude of the savings that are possible. Without any doubt, the best source for case studies and details of successful applications is the journal Interfaces, which is a publication of the Institute for Operations Research and the Management Sciences (INFORMS). This journal is oriented toward the practitioner and much of the exposition is in laypersons' terms; at some point, every practicing industrial engineer should refer to this journal to appreciate the contributions that O.R. can make. All of the applications that follow have been extracted from recent issues of Interfaces.  Before describing these applications, a few words are in order about the standing of operations research in the real world. An unfortunate reality is that O.R. has received more than its fair share of negative publicity. It has sometimes been looked upon as an esoteric science with little relevance to the real-world, and some critics have even referred to it as a collection of techniques in search of a problem to solve! Clearly, this criticism is untrue and there is plenty of documented evidence that when applied properly and with a problem-driven focus, O.R. can result in benefits that can be quite spectacular; the examples that follow in this section clearly attest to this fact.
  • 5.  On the other hand, there is also evidence to suggest that (unfortunately) the criticisms leveled against O.R. are not completely unfounded. This is because O.R. is often not applied as it should be - people have often taken the myopic view that O.R. is a specific method as opposed to a complete and systematic process. In particular, there has been an inordinate amount of emphasis on the modeling and solution steps, possibly because these clearly offer the most intellectual challenge. However, it is critical to maintain a problem-driven focus - the ultimate aim of an O.R. study is to implement a solution to the problem being analyzed. Building complex models that are ultimately intractable, or developing highly efficient solution procedures to models that have little relevance to the real world may be fine as intellectual exercises, but run contrary to the practical nature of operations research! Unfortunately, this fact has sometimes been forgotten. Another valid criticism is the fact that many analysts are notoriously poor at communicating the results of an O.R. project in terms that can be understood and appreciated by practitioners who may not necessarily have a great deal of mathematical sophistication or formal training in O.R. The bottom line is that an O.R. project can be successful only if sufficient attention is paid to each of the seven steps of the process and the results are communicated to the end-users in an understandable form.
  • 6. we look at an area that is readily appreciated by every industrial engineer - production planning and due date quotation. The semiconductor section of Harris Corporation was for a number of years a fairly small business catering to a niche market in the aerospace and defense industries where the competition was minimal. However, in 1988 a strategic decision was made to acquire General Electric's semiconductor product lines and manufacturing facilities. This immediately increased the size of Harris Semiconductor's operations and product lines by roughly three times, and more importantly, catapulted Harris into commercial market areas such as automobiles and telecommunications where the competition was stiff. Given the new diversity of product lines and the tremendous increase in the complexity of production planning, Harris was having a hard time meeting delivery schedules and in staying competitive from a financial perspective; clearly, a better system was required.
  • 7. For another application to production planning, but this time in a continuous as opposed to discrete production environment, we look at a system in use at Texaco [2]. One of the major applications of O.R. is in the area of gasoline blending at petroleum refineries, and virtually all major oil companies use sophisticated optimization models in this area. At Texaco the system is called StarBlend and runs on networked microcomputers. As some background, the distillation of crude petroleum produces a number of different products at different distillation temperatures. Each of these may be further refined through cracking (where complex hydrocarbons are broken into simpler ones) and recombination. These various output streams are then blended together to form end-products such as different grades of gasoline (leaded, unleaded, super-unleaded etc.), jet fuel, diesel and heating oil. The planning problem is very complex, since different grades of crude yield different concentrations of output streams and incur different costs, and since different end-products fetch different revenues and use different amounts of refinery resources. Considering just one product - gasoline - there are various properties that constrain the blends produced. These include the octane number, lead and sulfur content, volatilities and Reid vapor pressure, to name a few. In addition, regulatory constraints impose certain restrictions as well.
  • 8. For our third application we look at the use of a simulation model. This model was applied to derive schedules for a Flexible Manufacturing System (FMS) at Caterpillar, Inc. [3]. The interested reader may refer to any text on computer integrated manufacturing for details about FMSs; typically, they are systems of general purpose CNC machines linked together by an automated material handling system and completely controlled by computers. The FMS in question at Caterpillar had seven CNC milling machines, a fixturing station and a tool station, with material and tool handling being performed by four automated guided vehicles (AGVs) traveling along a one-way guided wire path. FMSs can provide tremendous increases in capacity and productivity because of the high levels of automation inherent in them and their potential to manufacture a wide variety of parts. On the other hand, this comes with a price; these systems are also very complex and the process of planning and scheduling production on an FMS and then controlling its operation can be a very difficult one. The efficiency of the scheduling procedure used can have a profound effect on the magnitude of the benefits realized.
  • 9. One of the most challenging as well as rewarding application areas of O.R. has been the airline industry. We briefly describe here one such application at Delta Airlines [4]. The problem solved is often referred to as the fleet assignment problem. Delta flies over 2500 domestic flight legs each day and uses about 450 aircraft from 10 different fleets, and the objective was to assign aircraft to flight legs in such a way that revenues from seats are maximized. The tradeoff is quite simple - if a plane is too small then the airline loses potential revenue from passengers who cannot be accommodated on board, and if it is too large then the unoccupied seats represent lost revenue (in addition to the fact that larger aircraft are also more expensive to operate). Thus the objective is to ensure that an aircraft of the "correct" size be available when required and where required. Unfortunately, ensuring that this can happen is tremendously complicated since there are a number of logistical issues that constrain the availability of aircraft at different times and locations.
  • 10. our final application we turn to the service sector and an industry that employs many industrial engineers - banking. This application [5] demonstrates how operations research was used to enhance productivity and quality of service at KeyCorp, a bank holding company headquartered in Cleveland, Ohio. Faced with increasing competition from nontraditional sources and rapid consolidation within the banking industry, KeyCorp's aim was to provide a suite of world-class financial products and services as opposed to being a traditional bank. The key element in being able to do this effectively is high-quality customer service and a natural trade-off faced by a manager was in terms of staffing and service - better service in the form of shorter waiting times required additional staffing which came at a higher cost. The objective of the project was to provide managers with a complete decision support system which was dubbed SEMS (Service Excellence Management System).
  • 11. This chapter provides an overview of operations research, its origins, its approach to solving problems, and some examples of successful applications. From the standpoint of an industrial engineer, O.R. is a tool that can do a great deal to improve productivity. It should be emphasized that O.R. is neither esoteric nor impractical, and the interested I.E. is urged to study this topic further for its techniques as well as its applications; the potential rewards can be enormous.