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
briefly discuss five characteristics of relevant cost
I am part of a marketing group, and we are working on a project for a local cable company,they currently serve 3,200 customers and sell 50 wireless boxes a month,what I need to do
what are the factors should be considered before terminated the operation of a losing firm??
By electronic fund transfer the collection float can be completely removed the other benefit of electronic fund transfer is instant updating of accounts and reporting of balances a
GRAPHICAL METHOD Graphical methods can be used in games with no saddle points and having pay off m X 2 or 2 X n matrix. The aim is to substitute a much simpler 2 X 2 matrix for
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.
Advantages of incremental budgeting a) The budget is stable and change is gradual b) Managers can operate their departments on a steady basis c) The system is relatively
Number of Operating Cycles: The number of operating cycles in a period is determined by dividing the number of days in a year i.e.365 by the length of net operating cycle. Express
Learning and Spillovers The cost of a value activity can decline over time due to learning that increases its efficiency. The methods by which learning can lower cost over tim
MULTIPLE REGRESSION The least square regression equation discussed above was based on the assumption that total cost was determined by only one activity based variable. However
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