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
Cost Analysis purposes For purposes of cost analysis, the desegregation of the generic value chain into individual value activities should reflect three principles that are not
Working capital is a necessary requirement for any type of business activity. Banks in India nowadays constitute the main suppliers of working capital credit to any type of busines
Weldon Industrial Gas Corporation supplies acetylene and other compressed gases to industry. Data regarding the store''s operations follow: 500 Garrison, Managerial Accounting, 12t
Constraints 1) A constraint of the type ≤ (≥) can be converted to an equation by adding a slack variable to (subtracting a surplus variable form) the left side of the constrain
Kaizen and management Management has two major components: 1) Maintenance 2) Improvement. The aim of the maintenance function is to maintain current technological man
The requirement for working capital fluctuates according the level of inventory, production, debtors and creditors etc. The working capital needs are not uniform during the year be
What are the Objectives of budgetary control 1) Planning : planning is an important managerial function. it helps to decide in advance, what to do how to do it when to do it a
Advantages of standard costing 1) Measuring efficiency: standard costing is a yardstick for measuring efficiency. The comparison of actual costs with standard costs enables t
Describe Financial budgets Financial budgets: financial budgets are concerned with cash receipts and disbursements working capital expenditure financial position and business o
11.1 Process Solutions provides a computer-based document processing service. The accountant has produced the following analysis. Standard Modified Advanced Sales quantity 1,000
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