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
Std error of the slope (Sb) Correlation coefficient measures the degree of association between two variables such as the cost and the activity level. The standard error of ‘
Transition probabilities These are the probabilities of moving from one state to another in the next time period. Usually they are written in the form of a probability matrix.
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
WHY VARIANCES IS INVESTIGATED UNDER STANDARD COSTING
stanley shoe company established a line credit with a local bank. the maximum amount that can be borrowed under the terms of the agreement is $100000 at an annual rate of 12%. a co
Private sector companies have multiple stakeholders who are likely to have divergent interests.( five stakeholder groups and discuss their financial and other objectives).
Exercise 12-7 sell or process further
a) Calculate and discuss the nature and role of accounting for business enterprise. b) Determine and discuss the desirable qualities expected from the prep
2. Draw the network diagram for the following problem and indicate a sequence of plans that the company should want to consider in making a time-cost tradeoff. The company is not
The Nature of Accounting Accounting is process of recording, analyzing, summarizing, and interpreting financial (money-related) activities to allow individuals as well as org
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