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Solved assignment problems – algorithms and flowcharts.
An algorithm is defined as sequence of steps to solve a problem (task) . The steps must be finite, well defined and unambiguous. Writing algorithm requires some thinking. Algorithm can also be defined as a plan to solve a problem and represents its logic. Note that an algorithm is of no use if it does not help us arrive at the desired solution
Algorithm characteristics
- It should have finite number of steps . No one can be expected to execute infinite number of steps.
- The steps must be in order and simple
- Each step should be defined clearly i.e. without un-ambiguity (without doubtfulness)
- Must include all required information
- Should exhibit at least one output
A flowchart is a pictorial (graphical) representation of an algorithm . A flowchart is drawn using different kinds of symbols. A symbol is used for a specific purpose. Each symbol has name.
Different algorithms have different performance characteristics to solve the same problem. some algorithms are fast. some are slow. some occupy more memory space. some occupy less memory space. some are complex and some algorithms are simple..
Logically algorithm, flowchart and program are the same.
Q1 . Create a program to compute the volume of a sphere. Use the formula: V = (4/3) *pi*r 3 where pi is equal to 3.1416 approximately. The r is the radius of sphere. Display the result.
Q2 . Write a program the converts the input Celsius degree into its equivalent Fahrenheit degree. Use the formula: F = (9/5) *C+32.
Q3 . Write a program that converts the input dollar to its peso exchange rate equivalent. Assume that the present exchange rate is 51.50 pesos against the dollar. Then display the peso equivalent exchange rate.
Q4 . Write a program that converts an input inch(es) into its equivalent centimeters. Take note that one inch is equivalent to 2.54cms.
Q5 . Write a program that exchanges the value of two variables: x and y. The output must be: the value of variable y will become the value of variable x, and vice versa.
Q6 . Design a program to find the circumference of a circle. Use the formula: C=2πr, where π is approximately equivalent 3.1416.
Q7 . Write a program that takes as input the purchase price of an item (P), its expected number of years of service (Y) and its expected salvage value (S). Then outputs the yearly depreciation for the item (D). Use the formula: D = (P – S) Y.
Q8 . Swapping of 2 variables without using temporary (or 3 rd variable).
Q9 . Determine the most economical quantity to be stocked for each product that a manufacturing company has in its inventory: This quantity, called economic order quantity (EOQ) is calculated as follows: EOQ=2rs/1 where: R= total yearly production requirement S=set up cost per order I=inventory carrying cost per unit.
Q10 . Write a program to compute the radius of a circle. Derive your formula from the given equation: A=πr², then display the output.
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Hey Engineers, welcome to the award-winning blog,Engineers Tutor. I'm Gopal Krishna. a professional engineer & blogger from Andhra Pradesh, India. Notes and Video Materials for Engineering in Electronics, Communications and Computer Science subjects are added. "A blog to support Electronics, Electrical communication and computer students".
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Solving the Unbalanced Assignment Problem: Simpler Is Better
American Journal of Operations Research
Related Papers
Dr Avanish Kumar
Bhausaheb G Kore
In this paper I have proposed a new approach to solve an unbalanced assignment problem (UBAP). This approach includes two parts. First is to obtain an initial basic feasible solution (IBFS) and second part is to test optimality of an IBFS. I have proposed two new methods Row Penalty Assignment Method (RPAM) and Column Penalty Assignment Method (CPAM) to obtain an IBFS of an UBAP. Also I have proposed a new method Non-basic Smallest Effectiveness Method (NBSEM) to test optimality of an IBFS. We can solve an assignment problem of maximization type using this new approach in opposite sense. By this new approach, we achieve the goal with less number of computations and steps. Further we illustrate the new approach by suitable examples. INTRODUCTION The assignment problem is a special case of the transportation problem where the resources are being allocated to the activities on a one-to-one basis. Thus, each resource (e.g. an employee, machine or time slot) is to be assigned uniquely to a particular activity (e.g. a task, site or event). In assignment problems, supply in each row represents the availability of a resource such as a man, machine, vehicle, product, salesman, etc. and demand in each column represents different activities to be performed such as jobs, routes, factories, areas, etc. for each of which only one man or vehicle or product or salesman respectively is required. Entries in the square being costs, times or distances. The assignment method is a special linear programming technique for solving problems like choosing the right man for the right job when more than one choice is possible and when each man can perform all of the jobs. The ultimate objective is to assign a number of tasks to an equal number of facilities at minimum cost (or maximum profit) or some other specific goal. Let there be 'm' resources and 'n' activities. Let c ij be the effectiveness (in terms of cost, profit, time, etc.) of assigning resource i to activity j (i = 1, 2, …., m; j = 1, 2,…., n). Let x ij = 0, if resource i is not assigned to activity j and x ij = 1, if resource i is assigned to activity j. Then the objective is to determine x ij 's that will optimize the total effectiveness (Z) satisfying all the resource constraints and activity constraints. 1. Mathematical Formulation Let number of rows = m and number of columns = n. If m = n then an AP is said to be BAP otherwise it is said to be UBAP. A) Case 1: If m < n then mathematically the UBAP can be stated as follows:
Malaya Journal of Matematik
DR ANJU KHANDELWAL
International Journal for Research in Applied Science & Engineering Technology (IJRASET)
IJRASET Publication
In this paper a new method is proposed for finding an optimal solution of a wide range of assignment problems, directly. A numerical illustration is established and the optimality of the result yielded by this method is also checked. The most attractive feature of this method is that it requires very simple arithmetical and logical calculations. The method is illustrated through an example.
Hussein Ali Hussein Al-Dallal Al-Saeedi
archana pandey
Assignment problems arise in different situation where we have to find an optimal way to assign n-objects to mother objects in an injective fashion. The assignment problems are a well studied topic in combinatorial optimization. These problems find numerous application in production planning, telecommunication VLSI design, economic etc. The assignment problems is a special case of Transportation problem. Depending on the objective we want to optimize, we obtain the typical assignment problems. Assignment problem is an important subject discussed in real physical world we endeavor in this paper to introduce a new approach to assignment problem namely, matrix ones assignment method or MOA-method for solving wide range of problem. An example using matrix ones assignment methods and the existing Hungarian method have been solved and compared it graphically. Also some of the variations and some special cases in assignment problem and its applications have been discussed in the paper.
Sultana Rafi
The assignment problem is a particular type of linear programming problem. In this paper, we analyzed the standard and existing proposed methods. After studying these methods, we proposed a new alternative method for solving the assignment problem. We examined the newly proposed method by a couple of numerical examples and compare this result with the standard method. The main characteristic of this newly proposed method is that it constructed a very easy logical and arithmetical algorithm. Here we point out some advantages and limitations of the new proposed method. Programming code for the newly proposed method has been added in this paper.
Ranjan Kumar Mondal
Thecloudcomputingpresentsatypeofassignmentsandsystemswhichoccupydistributedresources toexecutearoleinadistributedway.Cloudcomputingmakeuseoftheonlinesystemsonthewebto assisttheimplementationofcomplicatedassignments;thatneedhuge-scalecomputation.Itwassaid withtheintentionofinourlivingworld;wecanfinditchallengingtobalanceworkloadsofcloud computingamongassignments(jobsortasks)andsystems(machinesornodes),sothemajorityofthe timewehavetopromoteaconditiontounbalancedassignmentproblems(unequaltaskallocations). The present article submits a new technique to solve the unequal task allocation problems. The techniqueisofferedinanalgorithmicmodelandputintopracticeontheseveralgroupsofinputto investigatethepresentationandusefulnessoftheworks.Anevaluationispreparedwiththepresented approach.Itmakessurethattheproposedapproachprovidesabetteroutcomebycomparingwith someotherexistingalgorithms.
Industrial Engineering Journal
Shridhar Mhalsekar
Journal of Advances in Mathematics and Computer Science
Hudu Mohammed
Assignment problem is an important area in Operation Research and is also discussed in real physical world. In this paper an attempt has been made to solve the assignment problem using a new Method called the Penalty method. We discuss a numerical example by using the new Method and compare it with standard existing method which is the Hungarian method. We compare the optimal solution of the new Method and the Hungarian method. The new method is a simple procedure, easy to apply for solving assignment problem.
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5.2 ASSIGNMENT PROBLEM AND ITS SOLUTION An assignment problem may be considered as a special type of transportation problem in which the number of sources and destinations are equal. The capacity of each source as well as the requirement of each destination is taken as 1. In the case of an assignment problem, the given matrix must necessarily
formulate special linear programming problems using the assignment model solve assignment problems with the Hungarian method. 4.2 Introduction ... To illustrate how to set up a transportation problem we consider the following example; Example 4.1 A concrete company transports concrete from three plants, 1, 2 and 3, to three construction
The Assignment Problem: An Example A company has 4 machines available for assignment to 4 tasks. Any machine can be assigned to any task, and each task requires processing by one machine. The time required to set up each machine for the processing of each task is given in the table below. TIME (Hours) Task 1 Task 2 Task 3 Task 4 Machine 1 13 4 7 6
Problem 4. Job shop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. Table summarizes the cost of the assignments. Worker1 cannot do job3, and worker 3 cannot do job 4. Determine the optimal assignment using the Hungarian method. Job. Worker.
Chapter 17 The Assignment Problem 301 These problems are all examples of problems which may be solved as as-signment problems. In this chapter we will derive an efficient algorithm for solving assignment problems, and then discuss several problems which may be solved using this algorithm. The assignment problem will then be described in terms ...
9. Do the same for some variants of assignment problems. 10. Give the name of an algorithm that can solve huge assignment problems that are well beyond the scope of Solver. Transportation problems were introduced in Section 3.5 and Section 3.6 did the same for assignment problems.
8.1 Introduction. An assignment problem is a particular case of transportation problem in which a number of operations are to be assigned to an equal number of operators, where each operator performs only one operation. The objective is to minimize overall cost or to maximize the overall profit for a given assignment schedule.
Hungarian algorithm steps for minimization problem. Step 1: For each row, subtract the minimum number in that row from all numbers in that row. Step 2: For each column, subtract the minimum number in that column from all numbers in that column. Step 3: Draw the minimum number of lines to cover all zeroes.
1. UNIT -2 Chapter: II. ASSIGNMENT PROBLEM. Introduction: Assignment Problem is a special type of linear programming problem where the objective is to minimise the cost or time of completing a number of jobs by a number of persons. The assignment problem in the general form can be stated as follows: "Given n facilities, n jobs and the ...
The Hungarian Algorithm is an algorithm designed to solve the assignment problem. We'll sum-marize it, but let's try the MachineCo problem as an example of how this algorithm will work. First, we build a table with just our costs (or in this case, our times): 1. J 1 J 2 J 3 J 4 min M 1 14 5 8 7 M 2 2 12 6 5 M
We outline below a generic example of such a Problem Solving assignment. Note that this exercise can be conducted individually or as a team. The assignment is based on the concept of "Wicked Problems" in society. A Wicked Problems is, by definition, a social or cultural problem that is difficult or impossible to solve for as many as four ...
EXAMPLE OF ASSIGMENT PROBLEMS PROBLEM 1: Solve the following assignment problem shown in Table using Hungarian method. The matrix entries are processing time of each man in hours. 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 I II III IV V 1 20 15 18 20 25 2 18 20 12 14 15 3 21 23 25 27 25
Lesson 20 :Solving Assignment problem Learning objectives: • Solve the assignment problem using Hungarian method. • Analyze special cases in assignment problems. Writing of an assignment problem as a Linear programming problem Example 1. Three men are to to be given 3 jobs and it is assumed that
Chapter5 Thetransportationproblemandthe assignmentproblem Inthischapterweintroducethealgorithmsusedtosolvetwospecificlinearprob-lems ...
the large economic burden, and the interconnected nature of these problems with other problems. Examples of Wicked Problems include poverty, education, the economy, pollution, and, of course, climate change. A 2015 article in Elephant Journal entitled, "Top 5 Wicked Problems the World Desperately Needs to Solve" lists and
to an assignment is called the cost of the assignment. For example, x 1:= 1 3 and x 2:= 1 3 is a feasible solution, of cost 2 3. Note that if x 1;x 2 are values that satisfy the ... solutions, so it is always trivial to solve the problem in nite time. The number of solutions, however, is typically exponentially big in the size of the input and ...
Program. An algorithm is defined as sequence of steps to solve a problem (task). A flowchart is pictorial (graphical) representation of an algorithm. Set of instructions. Instruction is a command to the computer to do some task. Algorithm can also be defined as a plan to solve a problem and represents its logic. A picture is worth of 1000 words.
Problem Set 2 (PDF) Problem Set 2 Solutions (PDF) ... assignment_turned_in Problem Sets with Solutions. grading Exams with Solutions. notes Lecture Notes. co_present Instructor Insights. Download Course. Over 2,500 courses & materials Freely sharing knowledge with learners and educators around the world.
Abstract: Classic assignment problem is special case of linear programming problem. This is generally made on one to one basis. This paper is survey of the variations of the assignment problem. Assignment problems involve optimally matching the elements of two or more sets, where the dimension of the problem refers to the
Assignment Problem, Alternate Method for Assignment Problem, Linear Integer Programming, Optimization. I. INTRODUCTION The Assignment problem is a special structure of Transportation Problem, in which number of jobs (task) is equal to number of persons (facilities).Thus the objective of the problem is how the assignment should be made to ...
This section contains recommended problems and solutions. Browse Course Material Introduction Readings ... assignment_turned_in Problem Sets with Solutions. notes Lecture Notes. theaters Lecture Videos. Download Course. menu. search; ... Feedback example: The inverted pendulum Course Info Instructor Prof. Alan V. Oppenheim ...
This paper presents a review pertaining to assignment problem within the education domain, besides looking into the applications of the present research trend, developments, and publications ...
View PDF. Bhausaheb G Kore. In this paper I have proposed a new approach to solve an unbalanced assignment problem (UBAP). This approach includes two parts. First is to obtain an initial basic feasible solution (IBFS) and second part is to test optimality of an IBFS. I have proposed two new methods Row Penalty Assignment Method (RPAM) and ...