Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
The assignment model
Consider the situation of assigning m jobs (or workers) to n machines. A job i(= 1,2,3 ...m) when assigned to machine j(= 1,2,3 ...n) acquires a cost Cij. The objective is to assign the jobs to the machines (on job per machine) at the least total cost. The situation is known as the assignment problem.
The formulation of this problem may be regarded as a special case of the transportation model. These jobs represent "sources" and machines represent "destinations". The supply obtainable at each source is 1; which is ai = 1 for all i. Likewise, the demand needed at each destination is 1, which is bj = 1 for all j. The cost of "transporting" (assigning) job i to machine j is Cij. If a job cannot be assigned to a certain machine, the corresponding Cij is taken equal to M, a very high cost. We represent in the table the general ideal of the model.
Before the model can be solved by the transportation technique, it is necessary to balance the problem by adding fictitious jobs or machines, depending on whether m < n or m > n. It will be assumed that m = n without loss of generality.
The assignment model can be stated mathematically as shown below:
Let Xij = 0 if the jth job is not assigned to the ith machine. = 1 if the jth job is allocated to the ith machine.The model is thus specified by:
Minimize:
Subject to :
Xij = 0 or 1
Introduction of zero base budgeting Steps involved in the introduction of zero base budgeting 1) Corporate objectives should be established and laid down in detail 2) Dec
How to write introduction on strategy plan
Planning, Directing, and Controlling A clever sign hanging on the wall of a business establishment: "The Managers are paid to manage the work-- If There Were No Problems we wou
International transfer pricing Transfer pricing is a perennial issue, within the international tax community (Richard Casna, Accounting and Business, in the year February 1988)
Describe Benchmarking It is the process of measuring products service or activities against the best level of performance which may be found either inside or outside the organi
identify and briefly describe four trends in macro market environment which influence on the selected industry?
Various stages of product life cycle Typically the life cycle of a manufactured product will consist of the following stages: 1) market research : before any investment in
Creditors turnover ratio ( or payables turnover ratio) Meaning: this ratio establishes a relation ship between net credit purchases and average trade creditors. Objective
Kibble Company had the following functional income statement for the month of July 2011: Kibble Company Functional Income Statement For the Month Ending July 31, 2011 Sales ($40 x
Kinematic Pair: A pair is a joint of two elements which permits relative motion. The relative motion among the elements of links that built a pair is needed to be fully constrain
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd