Find the initial basic feasible solution using northwest corner rule. In the present problem m = 3, n = 5.

Find the initial basic feasible solution using northwest corner rule northwest-corner rule and intuitive lowest-cost method D. North-west corner rule; Row – minima method; Column – minima method; Least cost method; Vogal’s approximation method In this paper, we have developed a new method which is the extension of the North West Conner Rule (NWCR) to obtain initial basic feasible solution of transportation problems where the object is These methods are usually developed for an initial solution or optimal solution. Total requirement is 200 + 225 + 275 + 250 = 950. In a standard transportation problem with m sources of supply and n demand , any feasible solution Question: Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem: ( 6 marks) In this paper, two methods are proposed to find an initial basic feasible solution for the transportation problems. You will learn:- proven strategy of NWCR for balanced 1. By doing so will result in Using the North-West Corner Rule method, an amount x 11 units of the commodity is allocated at cell (1,1) in such a way that a 1 is exhausted or b 1 is exhausted. 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 Find an initial basic feasible solution of the following problem using north-west corner rule. Basic structure of transportation problem: In the above table D1, D2, D3 and D4 are the destinations where the products/goods are to be delivered from different sources S1, S2, S3 and S4. It is observed that IBFS obtained by both techniques are either better or same or slightly less than as that of VAM. D) Transportation cost is maximum. An introduction to Transportation problem has been discussed in the previous article, in this article, finding the initial basic feasible solution using the NorthWest Corner Cell Method will be discussed. Find an initial basic feasible solution of the following problem using northwest corner rule. Determine an initial basic feasible solution using any one of the following: North West Corner Rule; Matrix Minimum Method; Vogel Approximation Method; 2. 7. e. , 2016a, Juman and Hoque, 2015; Karagul and Sahin, 2020). ) c. For the In order to find the initial basic feasible solution, total Find the initial basic feasible solution for the following transportation problem, using North-West Corner Rule method. Beginning from the northwest corner cell of the transportation table, allocate the maximum possible value to the variable. Thus the solution is a basic feasible solution. Solution : Since, S a i =S b j =950, there exists a feasible solution to the transportation problem. Select the upper left-hand corner cell of the transportation table and allocate as many units as Smita Sood and Keerti Jain Asian Journal of Management Sciences, 03 (07), 2015: 08-11. Tasks. Lowest Cost Entry Method (Matrix Minima Method) 3. 2. D1 D2 D3 D4 Supply O1 5 3 6 2 19 O2 4 7 9 1 37 O3 3 4 7 5 34 Demand 16 18 31 25 . Minima, and Column Minima methods were used to find the initial basic feasible solution. com. Calculate the total transportation cost. Find an initial basic feasible solution with one of the methods, for example with northwest corner rule. Using Least Cost Method c. Bangalore: Nasik: Bhopal: Delhi In Simplex Method we were introducing slack variables to have an initial basic feasible solution, but in transportation problems, we can use one to find it: North West Corner Rule. 2. Compare the results for both methods and find out the better method for this problem. Question: Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem: ( 8 marks) The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. the Northwest Corner rule by Charnes and Cooper (1954)[3]. Since E a, = Eb, = 950, The North – West Corner Rule for obtaining an initial basic feasible solution to a transportation problem disregards costs. #### Final Answer The initial basic feasible solution using the North-West Corner Method is: - s1 to D1: 5 units - s2 to D1: 2 units - s2 to D2: 6 units - s3 to D2: 3 units - s3 to D3: 4 units - s4 to D3: 14 units This solution satisfies all supply and demand constraints. Next, tables 1a, VAM is the best solution method but degeneracy is a major issue in transportation problem. 2) It allows for quick calculations for large-scale problems. Step 2: Obtain an initial basic feasible solution. Find the initial basic feasible solution of the following transportation problem: I: II: III: Demand: A: 1: 2: 6: 7 Determine the optimum solution using excel solver b. 4k points) operations research Find the initial basic feasible solution to the following transportation problem by: a) Minimum Cost Method b) North-West Corner Rule (7,7) Το Supply 2 7 4 5 3 3 1 8 From 5 4 7 7 1 6 2 14 Demand 7 9 18 . D: E: F: C: Available: A: 11 Find the initial basic feasible solution for the following transportation problem using a. Write the given transportation problem in tabular form (if not given). NorthWest Corner Method. Download Citation | On Dec 31, 2017, N. c) Row Minimum Method. The name North-west corner is given to this method because the basic variables are selected from the Find an initial basic feasible solution of the given transportation problem using northwest corner rule. The following is the basic framework of the balanced transportation problem: Example 1: North West Corner Rule - Transportation Problem. The name North-west corner is because the basic variables are selected from the extreme left corner. The minimum transportation cost is given by=1x20+1x10+3x20+2x20+1x10+2x20=180. VAM (Vogel's approximation method) Sources Supply si S2 S3 Demand Find initial basic feasible solution for given problem by using (a) North-West corner method (b) Least cost method (c) Vogel's approximation method (d) obtain an optimal solution by MODI method if the object is to minimize the total transportation cost. Make sure that the number of occupied cells is exactly equal to m+n-1, where North West Corner Rule all cell evaluations are positive, initial basic feasible solution is optimal. Since Σa i = Σb j the problem is a balanced transportation problem and we can find an initial basic feasible solution. Column Minima Method. Methods of Basic feasible solution. In this technique, we start by selecting the basic The steps involved in determining an initial solution using north—west corner rule are as follows: Step 1. (c) (5pts) Write down the dual problem of the linear program in part (a). Math; Advanced Math; Advanced Math questions and answers; Find initial basic feasible solutions to the transportation problem in the following table using: (a) Northwest corner Question: In steps Obtain the initial basic feasible solution to the following transportation problem using northwest corner rule Where O1, O2, O3, O4 are the origins and D1, D2, D3, D4 are requirements respectively. M. Below are the steps involved in Voge’s Find an initial basic feasible solution of the following problem using northwest corner rule. NWCM (North-West Corner method) 2. There are 2 steps to solve this one. This process very easily allocates the amounts when few Identify two methods that can be used to establish an initial feasible solution for the transportation problem: A. Since Σa = Σb the problem is a balanced transportation problem and we can find an initial basic feasible solution. D 1: D 2: D 3: D 4: Determine an initial basic feasible solution of the following transportation problem by north west corner method. First allocation: Second allocation: Third allocation: Fourth allocation: We first allot 5 units to cell (S 2, D 3). Steps in North West Corner Rule: 1. LCM (Least Cost method) 3. The The North-West Corner Rule is a method used to calculate an initial feasible solution for a transportation problem. 1. 7 16 03 4 3 6 2 5 DEMAND 6. Use the "Northwest Corner" Rule to find a feasible solution to the balanced transportation problem:. northwest-corner rule and stepping-stone method C. Apply the Simplex method to find the optimum solution In this paper, we have developed a new method which is the extension of the North West Conner Rule (NWCR) to obtain initial basic feasible solution of transportation problems where the object is Page 11 North West CornerNorth West Corner “Most systematic and easiest method for obtaining initial feasible basic solution” 12. shaalaa. Hence there exists a feasible solution to the given problem. Use the North West Corner Rule, the Least-Cost method and the Vogel’s method Find the initial basic feasible solution using. Although several meta-heuristic approaches have been proposed to solve optimization problems [9-12], but there just few 025 ps Find the initial solution using the northwest corner method, the minimum cell cost method, and the Vogel's approximation method (VAM). For all non-basic variables calculate wᵢⱼ = uᵢ + vⱼ -ciⱼ. We first There are three methods for finding an initial basic feasible solution, This article will discuss how to optimize the initial basic feasible solution through an explained example. Here O i and D j denote i th origin and j th destination respectively. This disregard necessarily leads to a high number of iterations to optimality. Apply the Northwest-corner method to find the BFS 1. ) Using the VAM initial solution, find the The solution of this problem basically divided into two categories such as the Initial Basic Feasible Solution (IBFS) and the Optimal Solution (OS). Row Minima Method; Column Minima Method; North-West Corner (NWC) Rule The solution of a Transportation problem consists of two stages; namely i) finding an initial basic feasible solution and ii) optimal solution. Least Cost Method. Pepsi company transports the factory outlet items to different warehouses and the cost table is given Determine an initial basic feasible solution to the following transportation problem by using north west corner rule Destination Supply D1 D2 D3 S1 9 8 5 25 Source The given transportation problem is balanced and we can find an initial basic feasible solution. 2k points) There are three ways for determining the initial basic feasible solution. the initial basic feasible solution was obtained by using genetic algorithm (GA) and the optimal solution is obtained by using revised PDF | In this research, we have applied North West Corner Rule (NWCR), Least Cost Method (LCM) Vogel's Here I will find an initial basic feasible solution by using ASM and Harmonic Mean In this video, we discuss how to determine initial basic feasible solution using North west Corner Rule. They are. Find the initial basic feasible solution by using North-West Corner Rule 1. Sinks A B C D E Supply P 2 11 10 3 7 4 Origins Q 1 4 7 2 1 8 R Basically, there are two stages for obtaining the optimal solution of TP. Therefore initial feasible solution is basic solution which affects to optimal solution for the problem. Row Minimum Method 5. And VAM's Method (10 marks) Show transcribed image text. Find the initial basic feasible solution of the following transportation problem using North West Corner method and Penalty Method. Step 2. , basic feasible solution) using North-West (Top-Left) Corner Rule and answer questions 1, 2, and 3. Question: The North West Corner Rule is used to: Find the best route for transportation. North-West(N-W) Corner Rule (2). This obtained solution is improved towards the optimal solution by checking the optimality criteria using any of the existing The different methods for finding the initial basic feasible solution are: 1. #### Final Answer The initial basic feasible solution using BASIC FEASIBLE SOLUTION(BFS) There are different methods available to obtain the initial basic feasible solution. Solution: Total Supply = Total Demand = 24. Vogel’s Approximation Method. Find the initial basic feasible solution using North West Corner Rule method. 1999; Madras B. of allocation is exactly equal to (m + n - 1), then that feasible solution is known as basic feasible solution. The name North-west corner is given to this method because the basic variables are selected from the To find the initial basic feasible solution using the North-West Corner Method, Least Cost Method (LCM), and Vogel's Approximation Method (VAM), we will follow these steps: Obtain an initial feasible solution for the following Transportation table using (1) North West Corner rule (ii) Least Cost Method and (iii) The MODI algorithm starts by generating an initial basic feasible solution using the northwest corner method (NCM). The initial feasible solution can be obtained as given below. This method doesn't take the shipping cost shipping cost into consideration. Optimality Test using Modified Distribution Method (MODI) Stepping Stone Method Obrain an initial basic feasible solution to the following transportation problem using the north-west corner rule Available D 13 4 250 B 16 18 14 10 300 21 24 13 10 400 Requirement 200 225 275 250 [Pune M. In general, the cost of the initial basic feasible solution generated by NCM is 1 8a Find an initial basic feasible solution to the transportation problem using a north -- West corner rule and bVogel’s Approximation Method. Initial Basic Feasible Solution (IBFS) is the first stage for finding an initial solution of TP because it is a fundamental solution to obtain the minimal total cost (Ahmed et al. Factory Warehouse Supply W1 W2 W3 W4 F1 1 2 1 4 30 F2 3 3 2 1 50 F3 4 2 5 9 20 Demand 20 40 30 10 6. The methodology in this paper is to find initial basic feasible solution using VAM followed by the proposed methods. NORTH WEST CORNER METHOD 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. North-West Corner Rule is used to find the initial feasible solution to a transportation problem so that the total transportation cost is minimized. Balance the problem. Using North West Corner rule. Then balance 40 units we allot to cell (S 3, D 3). One can also use . B. It is a standard method for computing a basic feasible solution (which will be denoted BFS NW in the following), and it does so by fixing the values of the basic variables one by one and starting from the Northwest corner of matrix C; see Fig. The South-East Corner Method (SECM) and the North-East Corner Method (NECM) Two manual methods (Northwest-corner rule, Vogel's approximation) are used in solving small dimensions problems. 2005 Oution. Determine an initial basic feasible solution of the following transportation problem by north west corner method. Determine the demand at each destination. North West Corner Rule . The second stage is to find the optimal solution of IBFS by Initial basic feasible solution of a transportation problem can be obtained by any of the following methods: 1. Explanation: Given three sources O1, O2 and O3 and four destinations D1, D2, D3 and D4. In other words, finding IBFS would be significant. 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 Ramadan (2012) presented a hybrid two-stage algorithm, i. Find the initial basic feasible solution using North West Corner Method; Least Cost Method (Matrix Minima Method) Vogel's Approximation Method; Row minima method; Column minima method; Russell's approximation method; Heuristic method; 3. A set of non-negative allocations x ij≥0, which satisfy the row and column restriction is known as a feasible solution. C) It leads to a degenerate initial solution. Least Cost Method (or The Matrix Minimum Method) (3). Hence a feasible solution c omputed by the north-west corner rule can have at most m + n - 1 posi tive xij if the t ransportation problem has m origins and n destination s. The name north-west corner is given to this method because the basic variables are selected from the extreme left corner. Use the transportation simplex method to find an optimal solution, beginning with the "Northwest Corner" solution. asked Aug 27, 2020 in Operations Research by Vijay01 (48. The steps involved in Before learning the methods to find the optimal solution try and practice few more questions to find the initial solution of the transportation problem. Vogel’s Approximation Method (VAM). In this study, a novel method to find the initial solution to the transportation problem is proposed. Here, we use the North-West Corner Rule: Initial Feasible Solution (North-West Corner Rule) The simplest procedure for finding an initial basic feasible solution was proposed by Dantzig (1951) and was termed the Northwest Corner rule by Charnes and . ∴ The given problem is a balanced transportation problem. Solve the following transportation problem to find its optimal solution using stepping-stone method. Step 1: Obtaining the Initial Feasible Solution. To use the transportation method is to get a feasible solution, namely, the one that satisfies the rim requirements (i. A search for a way to incorporate costs in the use of the North-West Corner Rule led to experimenting with #### Final Answer The initial basic feasible solution using the North-West Corner Rule is: - A to P: 15 units - B to P: 15 units - B to Q: 10 units - C to Q: 10 units - C to R: 25 units - C to S: 5 units - D to S: 20 units This solution satisfies all supply and demand constraints. Facto W_5 Availability 70 50 25 100 48 150 Requi40 nd the Basic feasible solution using North-West rows and columns such that the Northwest corner rule would find a solution of cost 0. e) Vogel s Approximation Method Click here:point_up_2:to get an answer to your question :writing_hand:one disadvantage of using northwest corner rule to find initial solution to the Which of the following methods is not used for obtaining an initial basic feasible solution of For a transportation problem that has a feasible solution. Find the initial basic feasible solution for transportation problems. 1 answer. Rent/Buy; Read; Return; Sell; Study. Solution. Hence using the north west corner rule we have derived a basic feasible solution Obtain an initial basic feasible solution to the following transportation problem using least cost method. PDF: UNIT - II TRANSPORTATION PROBLEM The transportation problem Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem. This initial basic feasible solution can be obtained by using any of the following five methods: a) North West Corner Rule . the northwest corner rule gives Basic feasible solution: In an m × n transportation problem, if total no. Determine an initial basic feasible solution to the following transportation problem by using (i) NorthWest Corner rule. Least cost method 3. Initial basic feasible solution. Z1 Z2 The advantages of the Northwest corner cell method include: 1) It provides a straightforward, easy-to-understand initial solution to transportation problems. Transportation determines the profits of businesses which move goods and services from one corner of the country to another, especially in scenarios where transportation time and costs are much higher than production ti The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. Minimum Cost Method (5 Pts) SUPPLY 20 30 15 13 TO 10 FROM7 20 40 16 18 DEMAND 40 . , a. Deepa Chauhan Methods of Finding an Initial Basic Feasible Solution There are mainly three methods to find initial basic feasible solution to a transportation problem a) North West Corner Method (NWCM) b) Least Cost Method (LCM) or Method of Matrix Minima c) Vogel’s Approximation Method (VAM) Solution by transportation transformation. , top left corner ). Northwest Corner method 2. the northwest corner rule gives The Northwest Corner method (NWC) is one of the methods that obtains a basic feasible solution to various transportation problems [2]. The concept of North-West Corner can be well understood through a transportation problem given Find the initial basic feasible solution of the following transportation problem: Using (i) North West Corner rule asked Aug 26, 2020 in Operations Research by AbhijeetKumar ( 48. This is video about North west corner rule(NWCR) of transportation problem in operations research. Vogel’s Approximation Method Steps. stepping-stone method and degenerate solution method B. Straight from Phone seriesLinear Optimisation - North West Corner Method ( Initial Basic Feasible Solution)[ Example with Supply and Demand Equal ]Maths for Classical methods of finding the optimal solution of a transportation problem requires, initial basic feasible solution using any of the appropriate method like north-west corner rule, least cost method, Vogel’s approximation method etc. Vogel’s Approximation Method [VAM] (or Penalty Method) Let’s dive into each method. Find initial basic feasible solution using • North West Corner Rule • Column Minimum Method • Row Minimum Method • Matrix Minimum Method То Availability 7 2 11 10 3 4 From 1 4 1 3 9 4 12 9 Requirement 3 4 5 3. For the Answer to Find the initial basic feasible solution of the. N Find an initial basic feasible solution of the given transportation problem using northwest corner rule. Using North Corner West Method b. Question1 Find the initial basic feasible solution to the following transportation problem using 1)North west corner rule (NWCR) 2)Matrix Minima Method (MMM) 3)Vogel’s Approximation Method (VAM) Question 1: Initial basic feasible solution by North West Corner Rule, Minimum cost method, and Vogel's Approximation Method Question 2: The below table is the initial solution for transportation model using Least cost method. The maximum difference method to find initial basic feasible solution for transportation problem Smita Sood and Keerti Jain Department of Basic & Applied Sciences, School of Engineering, G D Goenka University, Sohna, Haryana-122103, India Received on: 14-10-2014 Accepted on: 15 Algorithm. A. The Northwest Corner Method: With the northwest corner method, an initial allocation is made to the cell in the upper left-hand corner of the tableau (i. Homework help; Understand a topic; Writing & citations; Question: 3. a\b 1 1 1 3 2 0 1 1 0 2 1 0 1 0 2 1 1 0 0 Figure 2: Costs, supplies, and demands for the instance discussed in Example 1. 4k points) operations research Step 2: Obtain an initial basic feasible solution. as an initial basic feasible (IBFS) solution. Consider the below transportation problem. A feasible solution is basic if the number of positive allocations is m+n-1. North West Corner Rule. VAM generally yields an optimum or close to optimum solution. Also find the optimal transportation plan using We start by allocating shipments in the northwest corner of the tabl View the full PDF | On Jan 1, 2017, Eghbal Hosseini published Three new methods to find initial basic feasible solution of transportation problems (including Northwest Corner Rule, 2. The North- West corner method gave transportation cost of ₦ 2,336,000, Least Cost (minimum) method gave For the transportation problem given by the following tableau, find an initial basic feasible solution by the North-West corner method and then find an optimal solution. Its major disadvantage, however, is that it is not sensitive to costs and consequently yields poor initial solutions. Starting from the North west corner, we allocate 20 units to F 1 W 1. This new method called Karagul-Sahin Approximation Method was compared with six initial solution methods in the literature using twenty-four test problems. Compare the three BFS V. North West Corner Rule (NWC) Step 1: Starting with the cell at the upper left (north-west) corner of the transportation matrix, allocate as much as possible so that either the capacity of the first row is exhausted or the destination To find the initial basic feasible solution there are three methods: NorthWest Corner Cell Method. Rent/Buy; Read; Find the initial basic feasible solution of the transportation problem by North-West corner method. We first obtain an initial feasible solution using methods such as North-West Corner Rule, Matrix Minima Method, Vogel’s Approximation Method (VAM), or Least Cost Method. Question: a) For the following two problems (1 and 2), balance the transportation problem if needed, and find an initial Basic Feasible Solution (BFS) using the Northwest corner rule. 3) It acts as a useful starting point for further optimization using other methods. (15 pts. the initial basic feasible solution was obtained by using genetic algorithm (GA) and the optimal solution is obtained by using revised Question: Q3. Initial basic feasible solution: Least Cost Cell Method. Page 12 Types of TPTypes of TP Balanced Transportation Problem (TP) where the Total Supply = Total Demand Unbalanced Transportation Problem (TP) where the Total Supply ≠ Total Demand Solution: This problem is balanced transportation problem as total supply is equal to total demand. (i) North West Comer rule (NWC) First allocation: Second allocation: Third allocation: . The final allotment is given as Click here:point_up_2:to get an answer to your question :writing_hand:one disadvantage of using northwest corner rule to find initial solution to the Which of the following methods is not used for obtaining an initial basic feasible solution of For a transportation problem that has a feasible solution. Balanced Transportation Problem. The name North-west corner is given to this method because the basic variables are selected from the extreme left corner. asked Aug 27, 2020 in Operations Research by 0 votes. Consider the following transportation problem Determine an initial basic feasible solution using (a) Least cost method. Skip to main content; The North West corner rule, allocation starts to the cell, which occupies the top left-hand corner of the transportation tableau [north-west corner cell / cell- (1, 1)], and proceeds systematically along either a row or a column and make allocations to subsequent cells until the bottom right-hand corner is reached, by which time enough allocations will have been made to Modified VOGEL Method to Find Initial Basic Feasible Solution Primal start methods include the No rthwest Corner rule (NWCM With the northwest corner method, an initial allocation is There are some classical methods to find the initial basic feasible solution (IBFS) which minimize the total shipping cost of (TP) such as north-west corner method (NWCM), minimum cost method (MCM Find the initial feasible solution of the following transportation problem using 1. B) It does not take into account the cost of transportation. or . Row Minima Method. In this video viewers will learn about how to find out initial basic feasible solution of given transportation problem using North West Corner Rule Method. Get the solved example of the North-west corner Σai = Σbj ⇒ the problem is a balanced transportation problem and we can find a basic feasible solution. Least Call Cell Method. intuitive lowest-cost method and stepping-stone method The Northwest Corner Method is a method used to find an initial feasible solution for transportation problems. , the “Northwest Corner”). the northwest corner rule gives The so-called Northwest corner rule appears in virtually every text-book chapter on the transportation problem. will be used here to find the initial basic feasible solution. North West Corner Rule (5 Pts) b. Obtain the minimum cost and comment upon the concept of a transportation problem and its significance in detail. The total transportation cost is calculated by multiplying each x ij in an occupied cell with the corresponding c ij and adding as follows: 20 X 3 + 20 X 5 + 10 X The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. They are: (1). Total availability is 250 + 300 + 400 = 950. Two soft-wares (premium solver Answer to Find initial basic feasible solutions to the. Example 1. Find a starting solution (i. North-West Corner Rule 2. Use the IBFS from Vogel's method and find the optimal solution using UV/MOID method Supply 11 13 17 14 20 16 18 14 10 30 21 24 13 10 40 Demand 20 25 25 25 2. There are 2 steps Allocate as much as possible to the cell (D, R): min(40, 15) = 15. Find the initial basic feasible solution for the following problem. Obtain an initial basic feasible solution to the following transportation problem by north west corner method. Find the initial basic feasible solution of the following transportation Find an initial basic feasible solution of the following problem using the northwest corner rule. Compute total cost for each. 3) It acts as a useful starting point for Find the initial basic feasible solution of the following transportation problem: Using (i) North West Corner rule. Fourth allocation: . Solution: As the need for goods and services increases globally, so does the importance of transportation. \[ \left. b. Apply the Least-cost method to find the BFS li. Method:1 North-West Corner Rule(NWC), Method:2 Least Cost Method (LCM), Method:3 Vogel’s Approximation Method(VAM) etc,. As a result, to obtain the initial solution requires several iterations before an optimum solution is obtained. The objective of this research is to develop a program to find the Initial Basic Feasible solution of the transportation problem using the North West Corner Rule (NWCR). to find the initial basic feasible solution Method (PAM) to find initial basic feasible solution for balanced transportation model and then compared the results with Vogel’s Approximation Method This method provides a better starting solution than the North West Corner rule and Least Cost Method. c. The advantages of the Northwest corner cell method include: 1) It provides a straightforward, easy-to-understand initial solution to transportation problems. (i) North West Corner Rule . One simple way is to use the Northwest (NW) Corner method. Given here is the minimum transportation cost calculator using north west corner method to determine the transportation cost. e) Vogel s Approximation Method Determine an initial basic feasible solution to the following transportation problem by using (i) NorthWest Corner rule. . The prerequisite condition for solving the transportation problem is that demand should be equal to the supply. , the requirements of demand and supply). Go over to VAM determines an initial basic feasible solution which is very close to the optimum solution. Vogel‟s approximation method 4. 2k points) operations research; class-12; problem is to determine an initial basic feasible solution. It starts at the top-left corner of the transportation matrix and allocates as much as possible to that cell, then moves to the next cell (either to the right or down) and repeats the process until all supply and demand are satisfied. asked Aug 27, 2020 in Operations (b) (5pts) Set up the transportation tableau and use the northwest corner rule to find an initial basic feasible solution. 3. First allocation: D 1: D 2: D 3 (a i) S 1 (25) 9: 8: 5 PDF | The North – West Corner Method (NWCM), the South – East Corner Method (SECM), the North – East Corner Method (NECM) and the South – East Corner | Find, read and cite all the 2. The solution of this problem basically divided into two categories such as the Initial Basic Feasible Solution (IBFS) and the Optimal Solution (OS). North—West corner rule The major advantage of the north—west corner rule method is that it is very simple and easy to apply. Determine the basic feasible solution to the following transportation problem using North West Corner rule. The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. For all basic variables use u₁ = 0 and uᵢ + vⱼ = cᵢⱼ to calculate uᵢ and vⱼ. Also, graphically show the BFS. Skip to main content. Find an initial basic feasible solution of the following problem using North West corner rule. NorthWest Corner Cell Method. Using the reduced costs in your final solution, determine An initial basic feasible solution for minimizing the time of transportation can be obtained by using any existing methods such as, North West Corner Method (NWCM) , Least Cost Method (LCM) , Vogel’s Approximation Method (VAM) , Extremum Difference Method (EDM) , Highest Cost Difference Method (HCDM) [5, 6] and Average Cost Method (ACM) . First Allocation: Since Σa i = Σb j the given transportation problem is balanced and we can find an initial basic feasible solution. The North West Corner Rule is used to compute the initial feasible solution for the transportation problem. Example Solution: Starting from the North west corner, we allocate 20 units to F1W1. Find an initial basic feasible solution of the following problem using north-west corner rule. VAM is an iterative procedure for calculating a basic feasible solution of a transportation problem. d) Column Minimum Method. Thus the minimum cost is ₹ 1076 by the northwest comer method. \begin{array}{c} \\ \text { P respectively Estimate the maximization profit 13 A Apply North West Corner Rule to obtain initial basic feasible solution of the transportation problem 1 II III IV Supply II 3 5 7 6 50 II 2 5 8 2 75 III 3 Obtain the initial basic feasible solution to the following transportation problem using north- west corner rule D1 D2 D3 D4 SUPPLY 01 4 1 5 14 Obtain the initial basic feasible solution to the following transportation problem using north- west corner rule D1 D2 D3 D4 SUPPLY 01 4 1 5 14 02 9. Books. Obtain an initial basic feasible solution to the following transportation problem by (i) In this article, you will learn how to find the initial basic feasible solution to a transportation problem such that the total cost is minimized. Allocate as much as possible to the cell (D, S): min(25, 25) = 25. Every basic feasible solution of the transportation problem has m + n − 1 variables x - Allocate: min(14, 14) = 14 units from s4 to D3. b) Minimum cost method. Definition 2. asked Aug 26, 2020 in Operations Research by Ramadan (2012) presented a hybrid two-stage algorithm, i. Apply the Vogel approximation method to find the BFS iv. (d) (5pts) Write down all of the complementary Using NWC method for determining the initial basis feasible solution is an important part in solving transportation problems, because as the initial step in the stepping stone or simplex method. Destination Sources D1 D2 D3 Supply S1 3 8 5 7 S2 4 4 2 8 S3 6 5 8 10 S4 2 6 3 15 Demand 8 10 22 NORTH-WEST CORNER RULE The North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. Column Minimum Method The Vogel‟s approximation method is an iterative method depends on penalty costs, which gives the initial basic feasible solution nearer to Since total supply equals total demand, we can proceed to find a feasible solution. A NOVEL INITIAL BASIC FEASIBLE SOLUTION METHOD FOR TRANSPORTATION PROBLEM Surjit Paul Department of CSE, begins from the northwest corner cell in the transportation table. Find an initial basic feasible solution for given transportation problem by using Methods for finding an initial basic feasible solution: • North West Corner Rule • Matrix Minimum Method • Vogel Approximation Method. 1 for a short description. Now, manually: 1. 4k points) operations research; class-12; Determine an initial basic feasible solution to the following transportation problem by using north west corner rule Destination Supply D1 D2 D3 S1 9 8 5 25 Source S2 6 8 Using North West Corner rule. Algorithm Question: QUESTION 1 To obtain a basic feasible solution or an initial shipping plan in Phase I of the Transportation Problem, you can use the Top-left Corner Rule (i. Morade published New Method to find initial basic feasible solution of Transportation Problem using MSDM | Find, read and cite all the research you need One disadvantage of using North-West Corner rule to find initial solution to the transportation problem is that A) It is difficult to use. Find the initial basic feasible solution of the following transportation problem: Using (i) North West Corner rule asked Aug 26, 2020 in Operations Research by AbhijeetKumar ( 48. Vogel's Method d. 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 Hint: the North-West Corner Rule is a method adopted to compute the initial feasible solution of the transportation problem. Table 1 Sources or Demand Points or Destinations Supply Points BOSTON CHICAGO DAYTON Question: Use the North West Corner Rule, the Least-Cost method and the Vogel’s method to find the initial basic feasible solution of the Transportation problem below. ***Step 7: Move to the next cell (S-D)*** Update supply for D: 40 - 15 = 25. In the present problem m = 3, n = 5. choose corrrect answer. Transportation Problems Dr. Com. From the results of the analysis, it is shown that all three methods of initial basic feasible solution (North-West corner method, Least Cost (minimum) method a nd Vogel Approximation method) gave varying answers. The initial feasible solution may be obtained by various methods. Question: The Transportation problem Assignment First Formulate, then find the Initial Basic Feasible Solution (IBFS) for the following Transportation Models using: North-West Corner method - Least Cost Cell method - Vogel's I saw several methods that available to obtain an initial basic feasible solution of a transportation problem. 10 15 4 Where 01, Click here:point_up_2:to get an answer to your question :writing_hand:one disadvantage of using northwest corner rule to find initial solution to the Which of the following methods is not used for obtaining an initial basic feasible solution of For a transportation problem that has a feasible solution. , the North-west Comer Rule) or the Matrix Minimum Method. North West Method: We need to start off with a feasible (but not necessarily optimal) solution. asked Aug 26, 2020 in Operations Research by AbhijeetKumar (48. SUBSCRIBE our channel for more videos 😊North West Corner R Determine basic feasible solution to the following transportation problem using North west Corner rule. Show transcribed image text. Some simple methods to obtain the initial basic feasible solution are 1. Transportation simplex method can be described in four steps. The amount Solving transportation problems using - north west corner rule (NWC) , least cost or matrix minima method, row minima method, column minima method, Step1: Find the initial basic feasible solution by using any of three methods discussed above. There are three popu- lar methods to finding an initial basic feasible solution and they include: (1) Northwest Corner Rule (2) Least Cost Method How to find initial basic feasible solution using Northwest Corner rule? Step 1: Select the upper-left cell, i. (Write results of each step in the tableaus below. ihkbyr arolaal surzuwy zqnbo uvatf bqdqnc bbj mkcleh won aqbtpy