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
Explain the techniques of performance budgeting It will also be useful to examine the three major aspects of this technique: Structural aspects : the structural aspects inv
Why might managers favour this ABC system instead of the older system that allocated all MOH costs on the basis of direct? labour?
The management of Popular Stores Sdn. Bhd. are in the process of exploring the company’s investment opportunities.
MATERIAL CONTROL It is said that "any fool can sell"—it is buying at the right price that is more critical to the achievement of a satisfactory return on capital employed. Buy
Yolande Tzar came to Northern Ireland from Poland five years ago to study at university. After graduating she worked as a sales manager for a local company and saved her wages to b
Cretin Enterprises uses a predetermined overhead rate of $21.40 per direct labor-hour. This predetermined rate was based on a cost formula that estimated $171,200 of total manufact
Viti Ltd, located in southern Viti Levu, manufactures a variety of industrial valves and pipe fittings that are sold to customers in the eastern states. Currently, the company is o
During the year the company worked a total of 145,900 machine-hours on all jobs and incurred actual manufacturing overhead costs of $1,305,346. What is the amount of underapplied o
Pantheon Company has prepared the following forecasts of monthly sales: July August September October Sales (in units) 4,300 5,100 3,800 2,500 Pantheon has decided that the num
The Baumol Model in 1952 considers cash management complication as same to inventory management problem. For itself the firm attempts to minimize the total cost that is the sum of
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