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
Problem From the following balance sheets of Dramas Ltd., compute the trend percentages using 31st December 2005 as the base year. Assets & Liabilities
The subsequent short-term investment opportunities are obtainable to companies in India to invest their temporary cash excess. a) Treasury Bills: Treasury Bills are short-term
Explain Direct labor cost standard The setting up of standard labor cost for each product would require: a) The determination of budgeted fixed overhead for a period b) B
Analysis Various business decisions have recurrent themes: whether to the outsource production or to the support functions, what level of production and pricing to establish, w
Decide which costs are associated with the assignment of cost for a Job Order Costing System. Select all that apply. cost graphs (Points : 1) Raw materials are used
Operating Cycle Method In this way, total operating expenses for a period are divided via the number of operating cycles in the relevant period to compute the cash need for wor
JIT and Management Accounting Management accountants in many organizations have been criticized because of their failure to change their managing accounting system to reflect
Multi-stage decision making under risk (The use of decision trees) Sequencing is concerned with the selection of an appropriate sequence or order of performing a series of jobs
Describe Committed fixed costs Committed fixed costs are those fixed costs that arise from the possession of 1. Plant, building and equipment (for example, depreciation, re
Stock-out costs These are the opportunity costs of running out of stock. They comprise: 1) The costs of lost customer sales, and therefore lost contribution to fixed costs.
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd