1. Northwest-corner method 2. Least-cost method 3. Vogel approximation method (improved version of least-cost method) Northwest-corner Method: The northwest-corner rule requires that we start in the upper left-hand corner and allocate units. 1. Exhaust the . • North West Corner Rule • Matrix Minimum Method • Vogel Approximation Method Step 2 Make sure that the number of occupied cells is exactly equal to m+n-1, where m is the number of rows and n is the number of columns. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. Solution. Starting from the North west corner, we allocate 20 units to F 1 W kaikkisnoukkaa.com demand for the first column is completely satisfied.

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# northwest corner rule pdf

The North West corner rule is a method for computing a basic feasible solution of a transportation problem, where the basic variables are selected from the North – West corner (i.e., top left corner).. The standard instructions for a transportation model are paraphrased below. Please read them carefully. Find an initial basic feasible solution of the given transportation problem using northwest corner rule. Solution. Starting from the North west corner, we allocate 20 units to F 1 W kaikkisnoukkaa.com demand for the first column is completely satisfied. The northwest-corner rule is easy to use, but it totally ignores costs. Intuitive method A cost-based approach to finding an initial solution to a transportation problem. The Northwest-Corner Rule The northwest-corner rule requires that we start in the upper left-hand cell (or northwest corner) of the table and allocate units to shipping routes. Currently the North-West Corner Rule for obtaining the initial solution is the least efficient method; the method leads to a relatively very high number of iterations to optimality. In this paper an innovative method for applying the North-West Corner Rule is introduced and its impact on the efficiency of the method is tested. 2. Literature Review. • North West Corner Rule • Matrix Minimum Method • Vogel Approximation Method Step 2 Make sure that the number of occupied cells is exactly equal to m+n-1, where m is the number of rows and n is the number of columns. Find the initial basic feasible solution by using North-West Corner Rule 1. 1 F F W→ F ↓ W W 2 W 3 W 4 Factory Capacity 1 19 30 50 10 7 F 2 70 30 40 60 9 3 40 8 70 20 18 Warehouse Requirement 5 8 7 14 34 1 Methods for Initial Basic Feasible Solution Lecture 15 Transportation problem: (North - West corner rule and matrix minimum method). 4 UNIT FOUR: Transportation and Assignment problems Objectives By the end of this unit you will be able to: formulate special linear programming problems using the transportation model. de ne a balanced transportation problem develop an initial solution of a transportation problem using the Northwest Corner Rule. 1. Northwest-corner method 2. Least-cost method 3. Vogel approximation method (improved version of least-cost method) Northwest-corner Method: The northwest-corner rule requires that we start in the upper left-hand corner and allocate units. 1. Exhaust the . Mar 07, · How To Solve A Transportation Problem Using North West Corner Rule (Best Way) Problem using the North West Corner Rule in the most efficient and . Feb 19, · Phases of Solution of Transportation Problem• Phase I- obtains the initial basic feasible solution• Phase II-obtains the optimal basic solution 9. Initial Basic Feasible Solution North West Corner Rule (NWCR) Row Minima Method Column Minima Method Least Cost Method Vogle Approximation Method (VAM) 2. Least-cost method. 3. Vogel approximation method (improved version of least- cost method). Northwest-corner Method: The northwest-corner rule requires that. solve the transportation problems by. (i) North-West corner rule;. (ii)Lowest cost entry method; and. (iii)Vogel's approximation method. ○ test the optimality of the . The steps of the northwest corner method are summarized here: 1. Allocate as much . The general rule for computing a penalty cost is to subtract the minimum . Abstract. Under which conditions can one permute the rows and columns in an instance of the transportation problem, such that the Northwest corner rule solves . Special Topics Section – Northwest Corner Rule Example The little numbers in the upper right corner of each cell are the unit cost Sterling pays to deliver. 2 Begin with the top left-hand corner (the north-west corner). Allocate the maximum Use the north-west corner method to find an initial solution to the problem described in example 1 and shown . the rule' about restricting the movement to. Northwest corner Rule: The idea is to find an initial to find an initial basic feasible The algorithm involved under north-west corner rule consists for the. develop an initial solution of a transportation problem using the Northwest Corner . Rule. • use the Stepping Stone method to find an optimal solution of a. North West Corner Rule. Example 1: The ICARE Company has three plants located throughout a state with production capacity 50, 75 and 25 gallons. Each day. -

## Use northwest corner rule pdf

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