Contents
Introduction3
ISSUES INVOLVED3
SUGGESTED SOLUTIONS TO THE PROBLEM4
PROPOSED METHODOLOGY FOR RESOLVE THE ISSUES5
Conclusion5

Introduction
Working hours is the amount of time a person works for a paid job. An adequate amount of work timing that a person should manage such that he/she can maintain his/her standard of living and also not to have more working hours such that they can avoid the stress related problems. In most countries 9 to 5 is considered to be a fairly adequate hours to go to work such that they could have a healthy style of living. Shift working is also one of the concepts to have an appropriate arrangement of hours such that the organization could cover a large amount of the time of the day. If we have to have a 24 hour working in the organization we could divide the time in different slots and then assigning it to different staff members such that the working hours doesn’t increase also the time could be covered (Working Hours). Moreover, there are certain rules and the regulations followed by the national and the international level guiding the number of working hours per day. It is but obvious that the same employees can work for both the days as well as for the nights to provide the services. As, in the private sectors and mainly the production sectors of the privatized industries, there are the shift working schedules which maintains the continuous work throughout the day. There are obviously certain disadvantages too related to the shift working too, but if compared and evaluated with the immense amount of the services and the comforts it could bring to the people of the university, there is the scope for this strategy to be in the food for our thoughts (The Uae's Draft Labor Law, 2007). ISSUES INVOLVED

The major issues involved with these problems and the several of the troubles associated due to these issues are firstly for those of the students are experiencing difficulties in...

...Report- Hard Copy
ASSIGNMENT METHOD
The assignmentproblem is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research in mathematics. It consists of finding a maximum weight matching in a weighted bipartite graph.
In its most general form, the problem is as follows:
There are a number of agents and a number of tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment. It is required to perform all tasks by assigning exactly one agent to each task in such a way that the total cost of the assignment is minimized.
If the numbers of agents and tasks are equal and the total cost of the assignment for all tasks is equal to the sum of the costs for each agent (or the sum of the costs for each task, which is the same thing in this case), then the problem is called the linear assignmentproblem. Commonly, when speaking of the assignmentproblem without any additional qualification, then the linear assignmentproblem is meant.
Example:
A machine shop currently has three jobs A,B,C to be done on three machines W,X,Y. Any one of the jobs can be processed completely on any one of the machines, and the assignment of...

...
Briefing:
Industrial management is a dynamic field of study, always developing and adapting to the need of the global market.
Industrial management holds solutions for many problems the market offers with many tools, including the 'Hungarian Algorithm'.
The Hungarian method is a combinatorial optimization algorithm which solves the assignmentproblem in polynomial time that's anticipated later primal-dual methods. The algorithm was developed and published by Harold Kuhn in 1955, who gave the name 'Hungarian Method' because the algorithm was largely based on earlier works of two Hungarian mathematicians: Dénes Kőnig and Jenő Egerváry.
A modern industrial engineer needs to cope the ever growing needs of the organization, our times requires him to do it fast and efficient.
We based our work on the 2010 project by: Michal Cohen, Asher Halili, Itay Levi, Guy Bar Sheshet, Bilga Damir and Barak Goldkorn, which developed a Windows-environment solver.
The reason we chose to focus our project on the selected topic is the desire to improve and to provide powerful tools to the everyday industrial engineer.
Today's organizations are more demanding, requiring more outcomes for less time. That is why we chose developing this tool for the 'here and now' industrial engineer.
We accomplished our goal by editing and modifying the source code to mobile phones and tablets based on Android® platform.
A few reasons for...

...CHAPTER 6:
TRANSPORTATION, TRANSSHIPMENT AND ASSIGNMENTPROBLEMS
Transportation Problem
- A distribution-type problem in which supplies of goods that are held at various locations are to be distributed to other receiving locations.
- The solution of a transportation problem will indicate to a manager the quantities and costs of various routes and the resulting minimum cost
- Used to compare location alternatives in deciding where to locate factories and warehouses to achieve the minimum cost distribution configuration
Formulating the model
Transportation
-Typically involves a set of locations which referred to as origins, and a set of receiving locations which referred to as destinations
-To develop a model of transportation problem, following information are needed:
1. Supply quantity (capacity) of each origin
2. Demand quantity of each destination
3. Unit transportation cost for each origin-destination route
Special Cases of Transportation Problems:
Maximization Problems
- A transportation-type problems that concern profits or revenues rather than costs.
-objective to maximize profits rather than to minimize costs.
Unacceptable Routes
-Certain origin-destination combinations may be unacceptable due to weather factors, equipment breakdowns, labor problems, or skill requirements that either prohibit, or make...

...MB0048 –Operations Research- 4 Credits
Assignment Set - 1
Q1. a. What do you mean by linear programming problem? Explain the steps involved in linear programming problem formulation? b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively. Formulate this as a Linear Programming Problem.
Q2. a. Discuss the methodology of Operations Research. b. Explain in brief the phases of Operations Research.
Q3. Solve the following Linear Programming Problem using Simple method.
Maximize Z= 3x1 + 2X2
Subject to the constraints:
X1+ X2 4
X1+ X2 2
X1, X2 0
Q4. Explain the procedure of MODI method of finding solution through optimality test.
Q5. a. Explain the steps in Hungarian method. b. Solve the following assignmentproblem.
Machine | Operators |
| 1 | 2 | 3 | 4 |
A | 60 | 50 | 45 | 45 |
B | 40 | 45 | 55 | 35 |
C | 55 | 70 | 60 | 50 |
D | 45 |...

...Operations Research
Prepared On
March-2009
Course Code
QTM-360
Credit Hours
Three
Course Prereq. Name
Basic Statistcs, Statistical Inference, Maths-I & II
Course Prereq. Code
QTM-160, QTM-220, QTM110, QTM-120
Revised On
July - 2014
Course Type
Core Course
Program
BBA
Semester
Fall – 2014
Course Description
The main aims and objectives of this course is to provide growing and applications of mathematical models in real world applications. The most prominent and successful aspect of this course is scientific decision making based on formulating mathematical models for a system analyzing and optimization such models. It is also aims at to impart in-depth and rigorous knowledge to the business students to inculcate academic excellence in various fields of research, planning and development, with special reference to business management. Operations Research or Management Sciences course provides tools and methods to maximize the profit, minimize the cost and cut down the losses also need to approach optimal solution using quantitative techniques.
Course Learning Outcomes
CLO #
Description
1
To understatnd the conversion of feasible solution(s) into optimal solution with the help of quantitative techniques of the business problem such as transpotational cost, assignment model, decision analysis etc.
2
To improve analytical skills by optimal techniques.
3...

...Special Multi-Objective AssignmentProblem Author(s): D. J. White Source: The Journal of the Operational Research Society, Vol. 35, No. 8 (Aug., 1984), pp. 759767 Published by: Palgrave Macmillan Journals on behalf of the Operational Research Society Stable URL: http://www.jstor.org/stable/2581982 . Accessed: 19/04/2013 03:45
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J. OpI Res. Soc. Vol. 35, No. 8, pp. 759-767, Printed in Great Britain. All rights reserved
1984 Copyright
?
0160-5682/84 $3.00 + 0.00 1984 Operational Research Society Ltd
A Special Multi-Objective...

...PERFORMANCE EXCELLENCE IN THE WOOD PRODUCTS INDUSTRY
EM 8779 • June 2002 $3.50
Transportation Problem: A Special Case for Linear Programming Problems
J. Reeb and S. Leavengood
A
key problem managers face is how to allocate scarce resources among various activities or projects. Linear programming, or LP, is a method of allocating resources in an optimal way. It is one of the most widely used operations research tools and has been a decisionmaking aid in almost all manufacturing perations research (OR) is concerned industries and in financial and service with scientifically deciding how to best organizations. design and operate people–machine systems, In the term linear programming, usually under conditions requiring the programming refers to mathematical proallocation of scarce resources.1 gramming. In this context, it refers to a This publication, one of a series, is planning process that allocates resources— offered to supervisors, lead people, middle labor, materials, machines, capital—in the managers, and anyone who has responsibility best possible (optimal) way so that costs are for operations planning in manufacturing minimized or profits are maximized. In LP, facilities or corporate planning over multiple these resources are known as decision facilities. Practical examples are geared to variables. The criterion for selecting the the wood products industry, although best values of the...

...______________________ •. .
ASSIGNMENT
DRIVE
PROGRAM
SEMESTER
SUBJECT CODE &
NAME
BK ID
CREDITS
MARKS
SUMMER 2014
MBA/ MBADS/ MBAFLEX/ MBAHCSN3/ PGDBAN2
II
MB0048
OPERATIONS RESEARCH
B1631
4
60
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
Q.N
o
1
Questions
Marks
Total Marks
Discuss the various stages involved in the methodology of Operations Research. Briefly
explain the techniques and tools of Operations Research.
Operations Research Methodology
10
Techniques and tools of Operations Research
2
Explain the steps involved in linear programming problem formulation with an
example. Discuss in brief the advantages of linear programming.
Q1 : Discuss the various stages involved in the methodology of Operations Research. Briefly
explain the techniques and tools of Operations Research.
1. Operations Research Methodology
2. Techniques and tools of Operations Research
Ans 1: Operations Research Methodology
Operations Research (also called Management Science) is the study of scientific approaches to decision
making. Through mathematical modeling, it seeks to design, improve and operate complex systems in the
best possible...