The assignment model, Managerial Accounting

Assignment Help:

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.

1063_box1.jpg



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: 

1105_1.jpg

Subject to :

583_2.jpg

Xij = 0 or 1

1443_3.jpg

 


Related Discussions:- The assignment model

Cost volume profit analysis, tha accountant''s approach to CVP ANALYSIS HAS...

tha accountant''s approach to CVP ANALYSIS HAS BEEN CRITICISED IN THATIT DOES NOT DEAL WITH THE FOLLOWING; CHANGES IN PRODUCT MIX. WHY IS IT SO?

Help, Computing equivalents units and assigning costs to completed units an...

Computing equivalents units and assigning costs to completed units and ending work in process; no beginning inventory or cost transferred in (30 -45min) Sue Electronics makes CD p

Problem 18.4A Process Costing with No Beginning or E, Ask question Toll Hou...

Ask question Toll House makes chocolate chip cookies. The cookies pass through three production processes: mixing the cookie dough, baking, and packaging. Toll House uses process c

Net current assets forecasting method, It is the most practical way of esti...

It is the most practical way of estimating working capital needs. In such method, the finance manager gets ready a working capital forecast. While preparing such forecast, firstly

Explain administration cost and pre production costs, Explain Administratio...

Explain Administration cost and Pre production costs Administration cost: The cost of formulating policy, directing the organization and controlling the operating of an u

Operating Decisions, 11.1 Process Solutions provides a computer-based docu...

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

State the factors of cvp, State the factors of CVP The three factors of...

State the factors of CVP The three factors of CVP analysis I e cost volume and profit are interconnected and dependent on one another . for example profit depends upon sales se

Transaction, Ask q1. On March 1, 2020, Tahir Muktar, a famous businessman i...

Ask q1. On March 1, 2020, Tahir Muktar, a famous businessman in Addis, opened a business named “Universal Garage” which is organized as a sole proprietorship. The business is estab

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd