The document discusses several assignment problems involving allocating jobs or tasks to machines, employees, clerks or cities in an optimal way to minimize time, cost or maximize returns. Specific problems include assigning 5 jobs to 5 machines to minimize total time, assigning jobs to machines to maximize total returns, assigning 4 jobs to 3 staff to minimize total time, assigning clerks to tasks where some assignments are prohibited, and finding the optimal tour for a salesman to visit 5 cities while minimizing total distance traveled. Solutions to these assignment problems are to be found using techniques like the assignment algorithm, Hungarian method, column reduction, row reduction and prohibiting certain assignments.
This is a special type of LPP in which the objective function is to find the optimum allocation of a number of tasks (jobs) to an equal number of facilities (persons). Here we make the assumption that each person can perform each job but with varying degree of efficiency. For example, a departmental head may have 4 persons available for assignment and 4 jobs to fill. Then his interest is to find the best assignment which will be in the best interest of the department.
The assignment problem is a special case of transportation problem in which the objective is to assign ‘m’ jobs or workers to ‘n’ machines such that the cost incurred is minimized.
This is a special type of LPP in which the objective function is to find the optimum allocation of a number of tasks (jobs) to an equal number of facilities (persons). Here we make the assumption that each person can perform each job but with varying degree of efficiency. For example, a departmental head may have 4 persons available for assignment and 4 jobs to fill. Then his interest is to find the best assignment which will be in the best interest of the department.
The assignment problem is a special case of transportation problem in which the objective is to assign ‘m’ jobs or workers to ‘n’ machines such that the cost incurred is minimized.
This is a presentation from video on 'Introduction to Operations Research' available at the end of this presentations and directly at https://youtu.be/PSOW3_gX2OU
Topics like Organisations of Operations Research, History of Operations Research Role of Operations Research(OR), Scope of Operations Research(OR), Characteristics of Operations Research(OR), Attributes of Operations Research(OR).
This video also talks about Models of Operations Research
• Degree of abstraction
o Mathematical models
o Language models
o Concrete models
• Function
o Descriptive models
o Predictive models
o Normative models
• Time Horizon
o Static models
o Dynamic models
• Structure
o Iconic or physical models
o Analog or schematic models
o Symbolic or mathematical models
• Nature of environment
o Deterministic models
o Probabilistic models
• Extent of generality
o General model
o Specific models
This is one of the topic covered here to give a flavour of the Operations Research(OR) topics covered in the CD ROM.This ebook will be available by the end of September 2014 on snapdeal website.The OR topics covered are simplified through a number of solved illustrations and will be useful to BMS,MMS.MBA and CA students.
This is a presentation from video on 'Introduction to Operations Research' available at the end of this presentations and directly at https://youtu.be/PSOW3_gX2OU
Topics like Organisations of Operations Research, History of Operations Research Role of Operations Research(OR), Scope of Operations Research(OR), Characteristics of Operations Research(OR), Attributes of Operations Research(OR).
This video also talks about Models of Operations Research
• Degree of abstraction
o Mathematical models
o Language models
o Concrete models
• Function
o Descriptive models
o Predictive models
o Normative models
• Time Horizon
o Static models
o Dynamic models
• Structure
o Iconic or physical models
o Analog or schematic models
o Symbolic or mathematical models
• Nature of environment
o Deterministic models
o Probabilistic models
• Extent of generality
o General model
o Specific models
This is one of the topic covered here to give a flavour of the Operations Research(OR) topics covered in the CD ROM.This ebook will be available by the end of September 2014 on snapdeal website.The OR topics covered are simplified through a number of solved illustrations and will be useful to BMS,MMS.MBA and CA students.
To Get any Project for CSE, IT ECE, EEE Contact Me @ 09666155510, 09849539085 or mail us - ieeefinalsemprojects@gmail.com-Visit Our Website: www.finalyearprojects.org
This presentation is trying to explain the Linear Programming in operations research. There is a software called "Gipels" available on the internet which easily solves the LPP Problems along with the transportation problems. This presentation is co-developed with Sankeerth P & Aakansha Bajpai.
By:-
Aniruddh Tiwari
Linkedin :- http://in.linkedin.com/in/aniruddhtiwari
Explain why production scheduling must be done by every organization whether it manufactures or provides services.
Discuss the application of the loading function.
Draw a Gantt chart and explain its information display.
Describe the role of sequencing and how to apply sequencing rules for one facility and for more than one facility.
Classify scheduling problems according to various criteria that are used in practice.
Explain the purpose of priority sequencing rules.
Describe various priority rules for sequencing.
Apply Johnson’s rule to the 2-machine flow shop problem.
Analyze dynamic scheduling problems.
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Project Overview –Virtual PMO Services for PJM Students and Alum.docxwoodruffeloisa
Project Overview –
Virtual PMO Services for PJM Students and Alumni
This project is one I have wanted to do for some time now – in order to move it forward to our leaders for approval, it would be very helpful to have an integrated plan to share for decision making – a draft charter/ scope statement and workplan has been created for this project. The next planning step is to complete the risk work.
Project Background
Currently, each faculty within our PJM program shares a number of project management templates used in their own project management work for use within their courses. The intent is to collect and share these templates across all sections of a course so that all students have access to a number of potential templates in that subject area and can then create their own version of the template that best meets the needs of their assignment projects. This will also store all templates in one place for easy access – regardless of the course that one is in it is convenient to locate other templates that might be helpful for the work in any course.
We also would like to make this available to alumni of the program – to allow them to benefit from our inventory of templates and also to allow them to contribute templates to the NU PJM community. This provides yet another opportunity for industry alignment and maintains a connection with our esteemed alumni.
This project is still considered to be at the beginning of its efforts. It will be a visible project within the Northeastern community – for faculty, current students and alumni.
Work to date – currently, there are many project management templates floating around our program. There has not been a coordinated effort to locate, vet and store these templates – nor have we considered if there are gaps in the templates provided.
Work includes understanding the needs of faculty, students and alumni and then creating a shared repository solution that will meet these needs. At minimum, the project will identify all available templates from faculty, reviewing these to ensure they are comprehensive, clear and ready for use and well as to review the inventory of templates against good practices in project management and the PMBOK - and that there are no copyright issues with posting on our shared site. Both faculty and students near the end of the program should be included in the review of the templates.
The shared site tool needs to be selected – this will require understanding the needs of faculty, students and alumni as well as standards to be followed in the IT constraints. The site needs to be designed and the templates uploaded.
A process needs to be created and implemented for upkeep on the templates as well as how additional templates are submitted for consideration, vetted and the site updated.
• • •
Ÿ 1
A plan for transition and sustainment needs to be created and implemented – how will students and alumni find out about this site? Who do they contact if they have questions o ...
Providing support for users during theirProviding support for users during their search sessions has been hailed as a major challenge in interactive information retrieval (IIR). Providing such support requires considering the context of the search and facilitating the work task at hand. In this paper, we consider the work tasks associated with air traffic analysts, who perform numerous searches using a multifaceted search interface in order to acquire business intelligence regarding particular events and situations. In particular, we develop a novel task completion engine and seamlessly incorporated it within a current air traffic search system to facilitate the comparison of information objects found. In a study with 24 participants, we found that they completed the complex work task faster using the comparison feature, but for simple work tasks, participants were slower. However, participants reported (statistically) significantly higher satisfaction and had (statistically) significantly higher accuracy using the search system equipped with task completion engine. These findings help to steer systems to provide a better support to users in their search process.
Chapter 6-Scheduling in Industrial of EngineeringFaizAzmy2
Scheduling is a fundamental aspect of industrial engineering that deals with organizing and optimizing the use of resources in a production process. It's essentially creating a detailed plan for when and how tasks should be completed to achieve specific goals
A manpower allocation problem with layout considerationsLuca Zeppetella
In this study we investigate the problem of assigning tasks to operators in a facility characterized by longitudinal par-
allel machines such as in a shop floor served by an overhead travelling crane. Given a master production schedule (MPS) the objective is to assign all the jobs scheduled on the machines (i.e., the tasks) to the operators in order to fill to capacity the available workforce minimizing the distance between operators and tasks. In the model we assume that one task, i.e., a particular production job processed by a particular machine, must be entirely completed by a single operator. Different levels of automation of the machines are considered, from manual machines that require a permanent employee to highly-automated machines where a single operator can oversee several machines. During the setup time or repair time of a machine the operator is considered free to operate on the remaining tasks assigned to him, if any. On the basis of the MPS the number of operators is pre-defined in the long-term planning horizon taking in consideration a fixed mean transfer time between the tasks, that are the different production jobs on different machines. This value has a huge uncertainty because it is highly influenced by the tasks allocation. In fact a simultaneous multiple allocation means a continuous back and forth of the operator between his assigned machines. The objective of the model is the maximization of the operators utilization through minimizing the operator-task distances. The backlogged work is not admitted, therefore each day is independent of the other days, so a daily staffing is modelled.
The study arises from a specific real-world problem but it could be easily extended to other contexts in which the
operator-task allocation is subject to spatial-layout considerations. In general, non-optimized operators’ travel times may result in production losses, i.e., machine blocking and work in progress.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
3. ITFT COLLEGE 3
4/26/2014
Allocating various resources
to various activities
On one to one basis
The time and cost are
minimised
Sale and profit are
maximised
7. ITFT COLLEGE 7
4/26/2014
Problem: Five jobs are to be assigned to 5 machines to
minimize the total time required to process the jobs on
machines. The time in hours for processing each job on
each machine are given in the matrix below. By using
assignment algorithm make the assignment for
minimizing the time of processing.
Machines (time in hours)
Jobs V W X Y Z
A 2 4 3 5 4
B 7 4 6 8 4
C 2 9 8 10 4
D 8 6 12 7 4
E 2 8 5 8 8
8. • Problem: A company has five jobs V, W, X, Y and Z and
five machines A, B, C, D and E. The given matrix shows
the return in Rs. of assigning a job to a machine. Assign
the jobs to machines so as to maximize the total
returns. Machines
Returns in Rs.
ITFT COLLEGE 8
4/26/2014
Jobs A B C D E
V 5 11 10 12 4
W 2 4 6 3 5
X 3 12 5 14 6
Y 6 14 4 11 7
Z 7 9 8 12 5
9. • Problem: A manager has 4 jobs on hand to be
assigned to 3 of his clerical staff. Clerical staff differs
in efficiency. The efficiency is a measure of time taken
by them to do various jobs. The manager wants to
assign the duty to his staff, so that the total time
taken by the staff should be minimum. The matrix
given below shows the time taken by each person to
do a particular job. Help the manager in assigning the
jobs to the personnel.
ITFT COLLEGE 9
4/26/2014
Jobs Men (time taken to do job in hours)
X Y Z
A 10 27 16
B 14 28 7
C 36 21 16
D 19 31 21
10. • Consider a problem of assigning four clerks to four
tasks. The time (hours) required to complete the
tasks is given below:
Clerk 2 cannot be assigned to task A and Clerk 3
cannot be assigned to task B. Find all the optimal
assignment solutionITFT COLLEGE 10
4/26/2014
11. • Problem: A salesman stationed at city A has to decide
his tour plan to visit cities B, C, D, E and back to city A I
the order of his choice so that total distance traveled is
minimum. No sub touring is permitted. He cannot
travel from city A to city A itself. The distance between
cities in Kilometers is given below:
ITFT COLLEGE 11
4/26/2014
Cities A B C D E
A ∞ 16 18 13 20
B 21 ∞ 16 27 14
C 12 14 ∞ 15 21
D 11 18 19 ∞ 21
E 16 14 17 12 ∞
