OPERATIONS RESEARCH
TRANSPORTATION PROBLEM
LEAST COST METHOD
method used to obtain the initial feasible solution for the transportation problem
Method: Least Cost Method (LCM)
The least cost method is more economical than north-west corner rule,since it starts with a lower beginning cost. Various steps involved in this method are summarized as under.
Step 1: Find the cell with the least(minimum) cost in the transportation table.
Step 2: Allocate the maximum feasible quantity to this cell.
Step:3: Eliminate the row or column where an allocation is made.
The transportation problem represents a particular type of linear programming problem used for allocating resources in an optimal way; it is a highly useful tool for managers and supply chain engineers for optimizing costs.
For clearly understand you can watch this video on my youtube channel
https://www.youtube.com/watch?v=5Ssnew58Yfc&t=2s
In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources.A transportation matrix is a way of understanding the maximum possibilities the shipment can be done. It is also known as decision variables because these are the variables of interest that we will change to achieve the objective, that is, minimizing the cost function.
“An Alternate Approach to Find an Optimal Solution of a Transportation Problem.”IOSRJM
The Transportation Problem is the special class of Linear Programming Problem. It arises when the situation in which a commodity is shipped from sources to destinations. The main object is to determine the amounts shipped from each sources to each destinations which minimize the total shipping cost while satisfying both supply criteria and demand requirements. In this paper, we are giving the idea about to finding the Initial Basic Feasible solution as well as the optimal solution or near to the optimal solution of a Transportation problem using the method known as “An Alternate Approach to find an optimal Solution of a Transportation Problem”. An Algorithm provided here, concentrate at unoccupied cells and proceeds further. Also, the numerical examples are provided to explain the proposed algorithm. However, the above method gives a step by step development of the solution procedure for finding an optimal solution.
A New Method for Solving Transportation Problems Considering Average PenaltyIOSRJM
Vogel’s Approximation Method (VAM) is one of the conventional methods that gives better Initial Basic Feasible Solution (IBFS) of a Transportation Problem (TP). This method considers the row penalty and column penalty of a Transportation Table (TT) which are the differences between the lowest and next lowest cost of each row and each column of the TT respectively. In a little bit different way, the current method consider the Average Row Penalty (ARP) and Average Column Penalty (ACP) which are the averages of the differences of cell values of each row and each column respectively from the lowest cell value of the corresponding row and column of the TT. Allocations of costs are started in the cell along the row or column which has the highest ARP or ACP. These cells are called basic cells. The details of the developed algorithm with some numerical illustrations are discussed in this article to show that it gives better solution than VAM and some other familiar methods in some cases.
Business Ethics is a form of Applied Ethics. It originates from individuals, organizational
statements or from the legal system. It can be said to be the attitude, culture and manner of doing
business by the business community. Decision Making: It is our means of deciding a course of action. Without it our actions would be random and aimless.
Leadership: The conscious effort to adopt, integrate, and emulate the other 11 principles to guide decisions and behavior in all aspects of professional and personal life.
Accountability: Holding yourself and others responsible for their actions. Commitment to following ethical practices and ensuring others follow ethics guidelines.
Integrity: Incorporates other principles—honesty, trustworthiness, and reliability. Someone with integrity consistently does the right thing and strives to hold themselves to a higher standard.
Respect for others: To foster ethical behavior and environments in the workplace, respecting others is a critical component. Everyone deserves dignity, privacy, equality, opportunity, compassion, and empathy.
Honesty: Truth in all matters is key to fostering an ethical climate. Partial truths, omissions, and under or overstating don't help a business improve its performance. Bad news should be communicated and received in the same manner as good news so that solutions can be developed.
Economic Order Quantity (EOQ) is the order quantity that minimizes total inventory costs. Total Inventory Costs Budgetary techniques for inventory planning
2. A-B-C. System of inventory control
3. Economic Order Quantity (E.O.Q.) i.e., how much to purchase at one time economically
4. VED Analysis
5. Perpetual inventory system and the system of store verification
6. Fixation of Stock Level
7. Control Ratios
The transportation problem represents a particular type of linear programming problem used for allocating resources in an optimal way; it is a highly useful tool for managers and supply chain engineers for optimizing costs.
For clearly understand you can watch this video on my youtube channel
https://www.youtube.com/watch?v=5Ssnew58Yfc&t=2s
In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources.A transportation matrix is a way of understanding the maximum possibilities the shipment can be done. It is also known as decision variables because these are the variables of interest that we will change to achieve the objective, that is, minimizing the cost function.
“An Alternate Approach to Find an Optimal Solution of a Transportation Problem.”IOSRJM
The Transportation Problem is the special class of Linear Programming Problem. It arises when the situation in which a commodity is shipped from sources to destinations. The main object is to determine the amounts shipped from each sources to each destinations which minimize the total shipping cost while satisfying both supply criteria and demand requirements. In this paper, we are giving the idea about to finding the Initial Basic Feasible solution as well as the optimal solution or near to the optimal solution of a Transportation problem using the method known as “An Alternate Approach to find an optimal Solution of a Transportation Problem”. An Algorithm provided here, concentrate at unoccupied cells and proceeds further. Also, the numerical examples are provided to explain the proposed algorithm. However, the above method gives a step by step development of the solution procedure for finding an optimal solution.
A New Method for Solving Transportation Problems Considering Average PenaltyIOSRJM
Vogel’s Approximation Method (VAM) is one of the conventional methods that gives better Initial Basic Feasible Solution (IBFS) of a Transportation Problem (TP). This method considers the row penalty and column penalty of a Transportation Table (TT) which are the differences between the lowest and next lowest cost of each row and each column of the TT respectively. In a little bit different way, the current method consider the Average Row Penalty (ARP) and Average Column Penalty (ACP) which are the averages of the differences of cell values of each row and each column respectively from the lowest cell value of the corresponding row and column of the TT. Allocations of costs are started in the cell along the row or column which has the highest ARP or ACP. These cells are called basic cells. The details of the developed algorithm with some numerical illustrations are discussed in this article to show that it gives better solution than VAM and some other familiar methods in some cases.
Business Ethics is a form of Applied Ethics. It originates from individuals, organizational
statements or from the legal system. It can be said to be the attitude, culture and manner of doing
business by the business community. Decision Making: It is our means of deciding a course of action. Without it our actions would be random and aimless.
Leadership: The conscious effort to adopt, integrate, and emulate the other 11 principles to guide decisions and behavior in all aspects of professional and personal life.
Accountability: Holding yourself and others responsible for their actions. Commitment to following ethical practices and ensuring others follow ethics guidelines.
Integrity: Incorporates other principles—honesty, trustworthiness, and reliability. Someone with integrity consistently does the right thing and strives to hold themselves to a higher standard.
Respect for others: To foster ethical behavior and environments in the workplace, respecting others is a critical component. Everyone deserves dignity, privacy, equality, opportunity, compassion, and empathy.
Honesty: Truth in all matters is key to fostering an ethical climate. Partial truths, omissions, and under or overstating don't help a business improve its performance. Bad news should be communicated and received in the same manner as good news so that solutions can be developed.
Economic Order Quantity (EOQ) is the order quantity that minimizes total inventory costs. Total Inventory Costs Budgetary techniques for inventory planning
2. A-B-C. System of inventory control
3. Economic Order Quantity (E.O.Q.) i.e., how much to purchase at one time economically
4. VED Analysis
5. Perpetual inventory system and the system of store verification
6. Fixation of Stock Level
7. Control Ratios
1.This PPT covers Definition of CCost Acccountng, . Scope of cost accounting, Advantages, Limitations of cost accounting, differences between Financial Accounting and Cost Accounting.
he physical arrangement of production facilities. It is the configuration of departments, work centers and equipment in the conversion process. It is a floor plan of the physical facilities, which are used in production.
refers to the choice of region and the selection of a particular site for setting up a business or factory. An ideal location is on where the cost of the product is kept to minimum, with a large market share, the least risk and the maximum social gain
The most efficient way to produce finished goods with the lead times needed to meet production demand.
a predetermined process which includes the use of human resource, raw materials, machines etc
A business methodology for quality improvement that measures how many defects there are in a current process and seeks to systematically eliminate
The key sigma principles are the following:
Customer focus
Use data
Improve continuously
Involve people
Be thorough
Total Quality Management (TQM) is a management approach that seeks to provide long-term success by providing unparalleled customer satisfaction through the constant delivery of quality IT services. To properly execute on TQM methods, the entire organization needs to operate as a single unit in the pursuit of excellence
This PPT covers Introduction of Operations research, Features, phases,Limitations of OR Travelling salesman problem, Assignment Problems, transportation Problems, Replacement Problems,EOQ,Inventory Control
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
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.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
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.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
1. OPERATIONS RESEARCH
TRANSPORTATION PROBLEM
Least Cost Method (Unbalanced)
DR.T.SIVAKAMI
ASSISTANT PROFESSOR OF MANAGEMENT STUDIES
BON SECOURS COLLEGE FOR WOMEN,THANJAVUR
M.RASMIYA ,D.RATHIKA
BON SECOURS COLLEGE FOR WOMEN,THANJAVUR
2. LEAST COST METHOD
Least cost method is also known as matrix minimum
method in the sense we look for the row and the
column corresponding to which is minimum. This
method finds a better initial basic feasible
solution by concentrating on the cheapest routes.
3. 1. Solve the following Transportation problem by
using LCM .
M1 M2 M3 M4 M5 Supply
S1 4 2 3 2 6 8
S2 5 4 5 2 1 12
S3 6 5 4 7 7 14
Deman
d
4 4 6 8 8
4. Solution :
• The given transportation problem is unbalanced.
• To convert unbalanced into balanced.
• Introduce dummy column with the value of 4.