In the Hungarian Methodology of solving the Assignment Model, upon eliminating thezeroes using the minimum number of horizontal and vertical lines, how does onedetermine if there is an optimal solution already available?O a. If the number of lines used to eliminate the zeroes is equal to the number or rows plus the number of columns,plus 1.o b. If the number of lines used to eliminate the zeroes is equal to the number of rows plus 1.o. If the number of lines used to eliminate the zeroes is equal to the number of rows.O d. If the number of lines used to eliminate the zeroes is equal to the number of columns minus 1.

The Hungarian method is the technique used to solve the assignment problem where it states that if…

Answered: In the Hungarian Methodology of solving…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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in an assignment problem involving 8 workers and 8 jobs, total number of assignments possible are a. 8 b. 16 c. 24 d. 64
One possible solution method for the machine-tojob assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic-procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal-solution.
Three jobs are to be assigned to three machines. Costs for each job-machine combination appear in the table below. Find the total cost using the assignment method. Machine A Machine B Machine C Job 1 11 14 6 Job 2 8 10 11 Job 3 9 12 7 Choose the correct answer: A) 25 B) 28 C) 29 D) 21 E) 34
Explain the assumptions involved in the formulation of an assignment problem that must be satisfiedto fit its definition in operations research.
What is Machine Scheduling in Integer linear optimization and put example.
I need a detailed explanation and assistance to solve this proble: A client asks his stockbroker to invest $100,000 for maximum annual income, subject to the three conditions: Spread the investment over no more than three different stocks. Put no more than 40 percent of the money into any one stock Put a minimum of $10,000 into an oil stock. The broker has identified three stocks for investment. Their estimated annual returns per share and price per share are shown in the following table: Stock Price per Share Estimate Annual Return per Share Oil $120 $11 Auto $52 $4 Pharmaceutical $18 $2 The client wishes to use LP to determine the optimal number of shares to buy for each stock, so as to maximize the total estimated return. a) Write down the decision variables. b) Write down the optimization statement for the objective function. c) Write down the constraints.
A leatherworks factory has two punch presses for punching holes in the various leathergoods produced in the factory prior to sewing. Suppose that 12 different jobs must beprocessed on one or the other punch press (i.e., parallel processing). The processingtimes (in minutes) for these 12 jobs are given in the following table.Job 1 2 3 4 5 6 7 8 9 10 11 12Time 26 12 8 42 35 30 29 21 25 15 4 75Assume that both presses are initially idle. Compare the performance of SPT andLPT (longest processing time) rules for this example. (In parallel processing the nextjob is simply scheduled on the next available machine.)
janitorial service, Mother’s Helpers, provide workers to clean office buildings during late evening hours using workers with two skill levels, 1 and 2. Each level 1 person is paid $12 per hour and each level 2 person is paid $8 per hour. The workers wash floors and vacuum offices. Each level 1 person can vacuum 9 offices per hour, whereas level 2 person can vacuum only 2 offices per hour. Each level 1 person can wash 2 floors per hour; whereas level 2 person can wash 3 floors per hour. In order to complete a new job in the allotted time, 18 offices must be vacuumed per hour and 12 floors must be washed per hour.
1. Which of the following is the key identifier of a resource-allocation problem? I. Constraints with the form " Amount of resource used => Amount of resource available" II. Constraints with the form " Amount of resource used <= Amount of resource available" III. Constraints with the form " Level achieved => Minimum acceptable level" IV. All constraints have the form " Amount provided = Required amount" a. I only b. II only c. III only d. IV only e. At least two is correct
Is Linear programming is a powerful technique for dealing with resource-allocation problems?
Show your step-by-step process using the SPECIAL PURPOSE LINEAR PROGRAMMING: ASSIGNMENT METHOD to solve this problem. Four Engineers are to work on 4 projects of Dora Company. The problem is to decide which engineer should be assigned to which project. Each engineer charges different fees on each project, due to distances of the projects and the complexity of the work. The cost of assigning particular engineers to particular projects are as stated below. The objective is to find the lease cost of assignment. Engineer 1 to Projects A, B, C, D = $11k, $8k, $10k, $7k respectively.Engineer 2 to Projects A, B, C, D = $6k, $5k, $3k, $8k respectively.Engineer 3 to Projects A, B, C, D = $4k, $8k, $10k, $9k respectively.Engineer 4 to Projects A, B, C, D = $11k, $10k, $5k, $7k respectively.
The topic is about Quantitive analysis and decision making. Problem: A firm just completed a new plant that will producemore than 500 different products, using morethan 50 different production lines and machines.The production scheduling decisions are criticalin that sales will be lost if customer demands arenot meet on time. If no individual in the firmhas experience with this production operationand if new production schedule must begenerated each week, why should the firmconsider a quantitative approach to theproduction scheduling problem?

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