modi method in transportation problem ppt

Transportation Problem- Stepping Stone Method Lakshminarayan Ramjee. New prospects of transportation mobility sciencedirect review of modified distribution method in cur business a . What is a Transportation Problem? • The transportation problem is a special type of LPP where the objective is to minimize the cost of distributing a product from a number of sources or origins to a number of destinations. Because of this, it can often provide considerable time savings over the stepping-stone method for solving transportation problems. (Pdf) Comparison the Transportation Problem Solution ... In this section, we provide an example. Lec-26 Modi Method Transportation Problem | In Hindi ... PDF Multiple Choice Questions (MCQs) The transportation schedule is shown in table below and the total transportation cost of the optimal solution is as given below. Let's solve the following example: This example is the largest and the most involved you have read so far. [PDF] Transportation Problem in Operational Research ... The initial solution is degenerate. Hence we can apply MODI Take such row or column which has maximum allocation in basic feasible solution and give it the value zero (0) i.e. c) MODI index d) idle index e) Improvement index Answer : e)Improvement index 32) The procedure used to solve assignment problems wherein one reduces the original assignment costs to a table of opportunity costs is called ) a) stepping-stone method b) matrix reduction c) MODI method d) northwest reduction e) simplex reduction Step1: Select the cell having lowest unit cost in the entire table and allocate the minimum of supply or demand values in that cell. Step 3: U-V method to optimize the initial basic feasible solution. PDF Solving Transportation Problem by Various Methods and ... In the stepping stone method, we have to draw as many closed paths as equal to the unoccupied cells for their evaluation. by introducing a dummy origin 0 4 with cost zero and giving supply equal to 215 - 195 = 20 units. Thus, we'll have to evaluate each unoccupied cell (represents unused routes) in the transportation table in terms of an opportunity of reducing total transportation cost. PDF B Transportation and Assignment Solution Methods - For U-V method the values ui and vj have to be found for the rows and the columns respectively. Weekly warehouse requiremnet are 180, 120 and 150 units, respectively. d) Idle index. You can solve your problem or see examples . VAM and MODI Method in Solving Transportation Problems a) Change index. Each cell in the tableau represents the amount transported from one source to one des- MODI Method Examples, Transportation Problem For example, if . Now check the supply from the row O1 and demand for column D2 and allocate the smaller value to the cell. 2. Optimality Checking Of The Initial Basic Feasible Solution: Modi [Modified Distribution Method] Method - Transportation Problem Posted On : 23.06.2018 04:11 am You would have noticed that the initial basic feasible solution obtained by various methods provide different starting solution. Vogel's Approximation Method (VAM) is one of the method to obtain feasible solution of Transportation Problem. INTRODUCTION The Transportation problem involves finding the lowest-cost plan for distributing stocks of goods or supplies from So in this case we convert the necessary number (in this case it is m + n - 1 . 1 1 Chapter 5 Transportation Problems Transportation Problem •Network Representation •General LP Formulation Transportation Simplex Method: A Special-Purpose Solution Procedure 2 Transportation, Assignment, and Transshipment Problems A network model is one which can be represented by a set of nodes, a set of arcs, and functions (e.g. MODI Method (Operations Research) Nilraj Vasandia . → Thus, it saves time over Stepping stone method. original cost of empty cell - above calculated cij a. Solving Transportation Problem using Vogel's Approximation Method,Stepping Stone Method & Modified Distribution Method July 2019 DOI: 10.13140/RG.2.2.20539.98082 Δ ij = c ij - (u i + v j) for unoccupied cell. To compute the values for each row and column, set. The least cost cell in column D4 is (O3, D4) with cost 2. Assume that the unit transportation costs are in hundreds of dollars. The Modified Distribution Method. Problem1: Obtain initial solution in the following transportation problem by using LCM method. 4. e) Improvement index . The modified distribution method, MODI for short , is an improvement over the stepping stone method for testing and finding optimal solutions. Here is the video for Degeneracy in Transportation problem in Operations research by using UV method, in this video we solved a degeneracy problem using UV m. Transportation Method A transportation tableau is given below. This model gives us good result in Transportation problem. Optimality Test (MODI) As the locations are equal to m+n-1 = No. Assignment Problems: Introduction, Hungarian method. Solution: Since the total demand ∑b j = 215 is greater than the total supply ∑ a i = 195 the problem is an unbalanced T.P. The Transportation Problem (TP) is a special type of linear programming problem where the objective is to minimize transportation cost i.e. The transportation problem is a special type of linear programming problem where the objective is to minimize the cost of distributing a product from a number of sources or origins to a number of destinations. Enter the number of rows and columns and the values for supply and demand . c) Modi index. The Stepping-Stone Solution Method (1 of 12) - Once an initial solution is derived, the problem must be solved using either the stepping-stone method or the modified distribution method (MODI). Although the first three methods above are completely accurate, the sheer quantity of Problem1: Obtain initial solution in the following transportation problem by using LCM method. The Transshipment Model C. The Assignment Model The Transportation Model: Characteristics Example 1. North West Corner Method 2.Minimum Cost Method 3. In order to remove degeneracy we assign Δ to unoccupied cell (S 2, D 5) which has minimum cost among unoccupied cells as shown in table 2.. To check optionality: We use MODI method and therefore first we have to find u i, v j & Δ ij with following relation.. c ij = u i + v j for occupied cell . Now the maximum penalty is 3 corresponding to the column D2. Find the row difference and the column difference from the remaining cells. PROBLEM2:DETERMINE THE OPTIMUM SOLUTION FOR THE COMPANY OF TRASPOTATION PROBLEM(USING NWCM AND MODI METHOD) 8 8 15 15 10 17 3 9 10 REQUIREMENT 150 80 50 120 80 80 CAPACITY F1 F2 F3 W1 W2 W3 WAREHOUSE FACTORY 13. . L east Cost Method. DETERMINE THE OPTIMUM SOLUTION FOR THE COMPANY OF TRASPOTATION PROBLEM(USING NWCM AND MODI . The Modified Distribution Method. MODI method is an improvement over stepping stone method. Find the values of the dual variables Ui and Vj for occupied cells. transportation problem is checked by MODI. We convert this into a balanced T.P. Modi Method - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. factories) to a given number of destinations (e.g. . In this case m + n - 1 = 4 + 5 - 1 = 8 where as total number of allocated cells are 7, hence this is the case of degeneracy in transportation problem. To solve the transportation problem by its special purpose algorithm,… So you must read the steps and the explanation mindfully. The objective function for a minimization problem is given by. • Modified Distribution Method (MODI method) is generally used for testing the optimality of the existing solution. MODI method is similar to the stepping stone method. Types of Transportation problems: Compare North West Corner Method, Least Cost Method, Vogel's Approximation Method, Stepping Stone Method and MODI Method for solving Transportation Problem linear-programming transportation-problem Updated Oct 27, 2021 Because of its special structure, the usual simplex method is not suitable for solving transportation problems. MODI Method of Solving Transportation Problem: Since the sum of origin capacities equals the sum of destination requirements, a feasible solution always exists. In this section, we provide an example. L east Cost Method. Meaning of optimal solution in trucking pany premium powerpoint meaning of optimal solution in public transport developments in indian meaning of optimal solution in. Optimization of the solution using U-V Method: Check whether m + n - 1 = total number of allocated cells. This calculator helps you to find the unused route with the largest negative improvement index. Modi method. In that case, do not find a new IFS by VAM or any other method. R i + K j = C ij. Run 'MODI_METHOD.py' to run. Now, the total cost of transportation will be (200 * 3) + (50 * 1) + (250 * 6) + (100 * 5) + (250 * 3) + (150 * 2) = 3700. We already understand the North West Corner Method | Method to Solve Transportation Problem | Transportation Model for transportation problem, to obtain feasible solution.. To understand Least Cost Method we will go through the numerical provided as follows (the same numerical we used in North West . Selection of the largest element of the added two new lines. Solving transportation problems using - north west corner rule (NWC) , least cost or matrix minima method, row minima method, column minima method, Vogels approximation method (VAM or penalty method), transportation algorithm (modified distribution method - MODI method), unbalanced transportation problem. The transportation problem is a special linear programming problem. Optimality Test Using MODI Method. The smallest value with a negative position… Unit 6 -Transportation Problem: Introduction, Formulation of Transportation Problem (TP), Transportation Algorithm (MODI Method), the Initial Basic Feasible Solution, Moving Towards Optimality Unit 7 - Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Routing Problem, Travelling Salesman . Step 3: Test for optimality using MODI method. d) at least 2. 2. Some researchers carried out to solve degeneracy problem ( Goyal 1984 and Shafaat and Goyal, 1988). Because of this, it can often provide considerable time savings over other methods for solving transportation problems. Step1: Select the cell having lowest unit cost in the entire table and allocate the minimum of supply or demand values in that cell. Let us now understand how Modified Distribution Method (MODI) works. Directly apply MODI method. b) New index. If supply and demand are equal then it is a balanced transportation problem. 3. In the stepping stone method, we have to draw as many closed paths as equal to the unoccupied cells for their evaluation. Transportation problem is a special kind of Linear Programming Problem (LPP) in which goods are transported from a set of sources to a set of destinations subject to the supply and demand of the sources and destination respectively such that the total cost of transportation is minimized. These three method is coded with matlab namely (NCM, LCM, VOGELMETHOD) To run from begin 'RunFile.m' Output will be generate 'route.txt' which is the bfs. Definition: The Modified Distribution Method or MODI is an efficient method of checking the optimality of the initial feasible solution. Weekly factory capacities are 200, 160 and 90 units, respectively. The solution is accompanied by a large number of illustrations. 2.1.5. . Each cell represents a shipping route (which is an arc on the network and a decision variable in the LP formulation), and the unit shipping costs are given in an upper right hand box in the cell. The supply from O1 is completed so cancel this row and the remaining demand for the . Modi method of solving transportation problem pdf Transportation Modi method (degeneracy case) OR It is the question of Operation Research book of Sikkim Manipal University. of allocation and they are independent position. The concept of MODI can be further comprehended through an illustration given below: Initial basic feasible solution is given below: Now, calculate the values of ui and vj by using the equation: Solving transportation problems using - north west corner rule (NWC) , least cost or matrix minima method, row minima method, column minima method, Vogels approximation method (VAM or penalty method), transportation algorithm (modified distribution method - MODI method), unbalanced transportation problem. 10/9/2015 Module 1 - TRANSPORTATION MODEL AND ITS VARIANTS TRANSPORTATION A. #modimethod #transportationproblemHere is the video about Transportation Problem in Modi Method or we can say U-V Method using Vogel's Approximation Method . Test for . However, the special structure of the transportation problem . Transportation problem was first derived by F. L. Hitchcock in [1]. . Q16. So you must read the steps and the explanation mindfully. The MODI method then requires five steps: 1. To achive optimum value, there are several methods, the stepping-stone method, assignment method, The Vogel approximation method (Unit cost penalty method) is an iterative procedure for computing a basic feasible solution of a transportation problem. If it is Optimal, OK. Powerco has three electric power plants that supply the needs A product is transported from a number of sources to a number of . #modimethod #uvmethodHere is the video about Transportation Problem in Modi Method or we can U-V Method using Vogel's Approximation Method (VAM), optimal sol. The cell with the least value in D2 is (O3, D2). Mathematical statement of the above transportation problem Mathematically, transportation can be defined as: c q = quantity produced at the plants, q= plants, d p = quantity required at the warehouse, p = warehouses, e qp = These two contributions are most helpful in the development of transportation methods which involve a number of shipping sources and a number of destinations. MODI method is also known as "u-v Method". The demand is smaller than the supply for cell (O3, D4). but only for those squares th at are currently used or o ccupied. Transportation models are solved manually within the context of a tableau, as in the simplex method. MODI method is an improvement over . Unbalanced transportation problem in Operational Research. Keywords: Transportation problem (T.P. The first main purpose is solving transportation problem using three 1methods of transportation model by linear programming (LP).The three methods for solving Transportation problem are: 1. The transportation problem in operational research is concerned with finding the minimum cost of transporting a single commodity from a given number of sources (e.g. STEPS 1.Construct a transportation table with the given cost of transportation and rim requirement. TRANSPORTATION PROBLEM The following must be known before using a method to find a low-cost solution: Capacity Requirements of the sources (Supply) and of the destinations (Demand) An estimation of the costs of transport per unit Number of occupied cells/squares in the table, computed in formula of n + m - 1, where n is the number of sources . Transportation problems. 1.Stepping Stone Method It is a method for computing optimum solution of a transportation problem. Determine the optimum minimum shipment cost of transportation using MODI method. The modified distribution method, also known as MODI method or (u - v) method provides a minimum cost solution to the transportation problem. Solve the transportation problem when the unit transportation costs, demand and supplies are as given below. I NTRODUCTION The modified distribution method, also known as MODI method or (u - v) method provides a minimum cost solution to the transportation problem. Find a basic solution by any standard method. a) northwest corner rule b) Vogel's approximation method c) MODI method d) stepping-stone method Answer-:(b) 41 means that the number of solutions to the linear programming models that satisfies all constraints is a) at least 1. b) 0. c) an infinite number. The Modi Method The MODI (modified distribution) method allows us to compute indices for each unused square without drawing all the closed paths. v=0 or u=0 Calculation of ui and vj Calculation of Cij of empty cell Cell evaluation i.e. Concepts: 1. TRANSPORTATION PROBLEM PPT.pptx - Transportation problem 07:18 AM MEE 437 Operations Research CONCEPT \u2022 The Transportation problems are one of the. Find the initial basic feasible solution of the following transportation problem by northwest corner method and then optimize the solution using U-V method (MODI) Destination Source D1 D2 D3 D4 Supply S1 3 1 7 4 250 S2 2 6 5 9 350 S3 8 3 3 2 400 Demand 200 300 350 150 25. A Balanced problem means total supply is equal to total . Vogel's approximation Method Trannsportation Model Transportation model is a special type of networks Solve the transportation problem using modi method and calculate the total minimum cost and generate iterations for your transportation problem using the below MODI calculator. routes (allocations) that will further reduce the total transportation cost. VAM is the best solution method but degeneracy is a major issue in transportation problem. Demand Less than Supply. Transportation Problems: Introduction, transportation model, north west corner method (NWCM), row and column minima (LCET), VAM, optimality test-stepping stone, and Modi method. 2. We instroduce some methods to solve this problem without using linear programming. The net cost of shipping one unit on a route not used in the current transportation problem solution is called the _____. Modified Distribution Method (MODI): In the modified distribution method all evaluations of all the unoccupied cells are calculated simultaneously thus only one closed path with most negative cell evaluation is traced. We could set up a transportation problem and solve it using the simplex method as with any LP problem (see Using the Simplex Method to Solve Linear Programming Maximization Problems, EM 8720, or another of the sources listed on page 35 for informa-tion about the simplex method). The Transportation method handles shipping or distribution problems efficiently. In the previous section, we provided the steps in MODI method (modified distribution method) to solve a transportation problem. If necessary the initial solution will be improved by the MODI method. TRANSPORTATION PROBLEMS Vogel method Methodology steps 1. In Table 6.36 the values of Ui and Vj are calculated by applying the formula Cij + Ui + Vj = 0 for occupied cells. 2.Determine . One serious problem of the stepping stone method is the degeneracy, that is too few basic cells in a feasible solution. Abstract. If not Optimal, improve it and find actual Optimal solution. , the cost of distributing a product from a number of sources or origins to a number of destinations . Initially assume Ui = 0, Cij + Ui . A company has factories at F1, F2 and F3 which supply to warehouses at W1, W2 and W3. In order to remove degeneracy we assign Δ to unoccupied cell (S 2, D 5) which has minimum cost among unoccupied cells as shown in table 2.. To check optionality: We use MODI method and therefore first we have to find u i, v j & Δ ij with following relation.. c ij = u i + v j for occupied cell . transportation cost: Northwest corner, least cost method, Vogel method and MODI method. Transportation Problems And Solutions In Operations Research Ppt. TRANSPORTATION PROBLEMS Vogel method Methodology steps 1. (1 of 12) - Once an initial solution is derived, the problem must be solved using either the steppingstone method or the modified distribution method (MODI). 2. The MODI method can also handle these problems but has its most efficient use in production scheduling problems. 5. During this time, the method of solving transportation problem was conducted by Northwest-Corner (NWC), Least-Cost (LC), and Vogel' Approximation (VAM). modification distribution method (MODI). In the previous section, we provided the steps in MODI method (modified distribution method) to solve a transportation problem. These types of problems can be solved by general network methods, but here we use a specific transportation algorithm. - The initial solution used as a starting point in this problem is the minimum cell cost method solution because it had the minimum total cost of the . T. C. Koopmans presented the work of F. L. Hitchcock in the paper [2]. • Because of its special structure the usual simplex method is not suitable for solving transportation problems. Find an initial basic feasible solution for given transportation problem by using. The Transportation Algorithm MODEL B. In real-life, supply and demand requirements will rarely be equal. A Presentation By Prof. Manidatta Ray. Transportation Problem. The smaller value is 300 so allocate this to the cell. 6. Solution: According to the Least Cost Cell method, the least cost among all the cells in the table has to be found which is 1 (i.e. The first main purpose is solving transportation problem using three 1methods of transportation model by linear programming (LP).The three methods for solving Transportation problem are: 1. ), VAM, MODI Method, Initial basic feasible solution (IBFS), optimal test INTRODUCTION The Transportation problem is one of the traditional function of the L.P.P.Transportation model provides a greater impact on the management of transport [5]. z = 2 x1 - 5 x2 + 3 x3 This calculator finds the initial solution by the North-West Corner Method or the Least Cost Method. Least cost Method is one of the method to obtain feasible solution of Transportation Problem. KEYWORDS: Mat lab commands, MODI Method, Transportation problem, North-west corner method, least cost Method, Vogel's approximation method. Transportation Problem Modi method degeneracy. The initial solution is degenerate. First, test the given solution. Addition - below and right of the transportation tableau - of a new row and a new column with elements the difference of the two smaller cost elements of each row and each column respectively. Transportation problem is solved by many method. Addition - below and right of the transportation tableau - of a new row and a new column with elements the difference of the two smaller cost elements of each row and each column respectively. North West Corner Method 2.Minimum Cost Method 3. Δ ij = c ij - (u i + v j) for unoccupied cell. Vogel's approximation Method Trannsportation Model Transportation model is a special type of networks The Transportation problem can be Balanced or Unbalanced problem. The MODI (modified distribution) method allows us to compute improvement indices quickly for each unused square without drawing all of the closed paths. Let's solve the following example: This example is the largest and the most involved you have read so far. → Moreover in MODI method, cell evaluations of all the unoccupied cells are calculated simultaneously and only one closed path for the most negative cell is traced. Allocate 200 to the cell and cancel the column. Commodities are transported while people travel What is Transportation Problem ? Selection of the largest element of the added two new lines. MODI provides a new means of finding the unused route with the largest . - The initial solution used as a starting point in this problem is the minimum cell cost method solution because it had the minimum total cost of the three methods used. Total supply ≠ Total demand. We already know the Least Cost Method and the North West Corner Method | Method to Solve Transportation Problem | Transportation Model for transportation problem to obtain feasible solution.. Vogel's Approximation Method (VAM) method works on the concept of Opportunity or Penalty cost. It is also sometimes called as Hitchcock problem. Q15. In a standard transportation problem with m sources of supply and n demand , any feasible solution . As we discussed in MODI method that, to understand these methods which will be used to get optimum solution to transportation problem, we need to get knowledge of optimality test first.. Jump to Stepping Stone Method or Modified Distribution Method (MODI) for optimizing solution to transportation problem.. Optimality Test : → Optimality test is carried to check whether the basic feasible . This method is preferred over the two methods discussed in the previous sections, because the initial basic feasible solution obtained by this method is either optimal or very close to the . strate the solution of a transportation problem. cell (O1, D2)). When the total supply of all the sources is not equal to the total demand of all destinations, the problem is an unbalanced transportation problem. The modified distribution method, is also known as MODI method or (u - v) m ethod provides a. minimum cost solution to the transportation problems. warehouses). As there are three rows so three ui values have to be . and the demand together with the unit transportation cost per truckload on the different routes are described in the following transportation table. The tableau for our wheat transportation model is shown in Table B-1. Typical assignment problems like optimal assignment of crews and travelling salesman problem. data of the problem be expressed numerically in the same units. ( e.g following transportation problem was first derived by F. L. Hitchcock in simplex! As many closed paths as equal to the cell with the largest element of the element. Its special structure the usual simplex method is not suitable for solving transportation.. ; U-V modi method in transportation problem ppt the values of the largest element of the existing solution within the of. Solved manually within the context of a transportation problem by using LCM method largest element of the added two lines! Shown in table B-1 the columns respectively solving transportation problems closed paths as equal to cell! And travelling salesman problem by F. L. Hitchcock in the development of transportation methods which a... Difference and the values ui and vj for occupied cells over stepping stone method, MODI for short is. These types of problems can be solved by general network methods, here..., it saves time over stepping stone method for testing and finding solutions! Is an improvement over the stepping stone method, we have to draw as many closed paths as to. ( e.g basic cells in a feasible solution for the and 90,! Be solved by general network methods, but here we use a specific transportation algorithm route with the element. Have to be quot ; U-V method to optimize the initial solution in transport... Meaning of optimal solution problem PPT.pptx - transportation problem ( using NWCM and.! The usual simplex method there are three rows so three ui values have to be found for the as! Initially assume ui = 0, Cij + ui feasible solution C. Koopmans presented the work of F. L. in...: //www.peregene.com/transportation-problems-and-solutions-in-operations-research-ppt/ '' > Se: Lesson 3 general network methods, but here we use specific! Draw as many closed paths as equal to the cell and cancel the.. A Balanced transportation problem... < /a > modification distribution method ( MODI ) works 1988 ): Example! Above calculated Cij a and the explanation mindfully //ecoursesonline.iasri.res.in/mod/page/view.php? id=2961 '' > MODI method as equal the. Solution in public transport developments in indian meaning of optimal solution in trucking pany premium Powerpoint meaning optimal! Route not used in the current transportation problem was first derived by L.. At F1 modi method in transportation problem ppt F2 and F3 which supply to warehouses at W1, W2 and W3 stepping-stone. Helps you to find the values ui and vj for occupied cells basic feasible solution in.... The following transportation problem solution is called the _____ commodities are transported while people travel What is problem. To total > Abstract m sources of supply and demand are equal it! Finding optimal solutions Approximation method < /a > modification distribution method ( )! A given number of shipping sources and a number of < a href= http. Rim requirement a href= '' https: //vdocuments.net/modified-distribution-method.html '' > Se: Lesson 3 in real-life supply... Standard transportation problem was first derived by F. L. Hitchcock in [ 1 ] time...: Obtain initial solution is accompanied by a large number of shipping sources and a number of,. Current transportation problem solution is degenerate or o ccupied Model: Characteristics Example 1 of empty cell - above Cij. These two contributions are most helpful in the simplex method stone method for testing the optimality the! Structure the usual simplex method is also known as & quot ; U-V method the for. • because of its special structure the usual simplex method is the degeneracy, is... Too few basic cells in a standard transportation problem by using F. L. Hitchcock in [ ]... Row difference and the values for modi method in transportation problem ppt and demand requirements will rarely be equal reduce total. Finding optimal solutions powerco has three electric power plants that supply the needs a product a... - 195 = 20 units with the largest element of the dual variables ui and vj of! Solution by the MODI method column difference from the remaining cells destinations ( e.g check supply. M sources of supply and demand product from a number of sources to a number.. Is to minimize transportation cost i.e Obtain initial solution by the North-West method! Or origins to a number of the work of F. L. Hitchcock in the simplex method is the,... Now check the supply from O1 is completed so cancel this row and column, set, is an over! Transported from a number of sources or origins to a number of illustrations using NWCM and MODI i.e! Paper [ 2 ] sources to a number of sources or origins to a number of rows and the mindfully... Allocate 200 to the unoccupied cells for their evaluation [ 1 ] smaller value is 300 so allocate this the. ) that will further reduce the total transportation cost i.e an initial basic feasible solution network methods, here... Warehouses at W1, W2 and W3 shipping or distribution problems efficiently saves time over stone. And find actual optimal solution in trucking pany premium Powerpoint meaning of optimal in. Called the _____ D4 ) how to solve degeneracy problem ( TP ) is generally used for testing and optimal... Determine the optimum minimum shipment cost of shipping one unit on a route not used in following. It saves time over stepping stone method, MODI for short, is an improvement over stepping stone method not. Step 3: U-V method & quot ; Lesson 3... < /a > transportation problem the Model! ( using NWCM and MODI transportation and rim requirement real-life, supply and n demand, any feasible.... With m sources of supply and demand 0, Cij + ui of... Finding the unused route with the largest element of the existing solution manually modi method in transportation problem ppt the context a... Following transportation problem by using LCM method calculator finds the initial basic feasible solution Balanced... Used in the following transportation problem was first derived by F. L. Hitchcock in [ 1 ], W2 W3... Development of transportation methods which involve a number of rows and the columns respectively - ( u i v! //Vdocuments.Net/Modified-Distribution-Method.Html '' > Modified distribution method - [ PPT Powerpoint ] < /a > 4 by LCM! Over stepping stone method to run //www.universalteacherpublications.com/univ/ebooks/or/Ch5/vogel.htm '' > transportation problem savings other... Transportation models are solved manually within the context of a transportation table with the given of. > 2 calculator helps you to find the values for supply and demand for column and! U=0 Calculation of Cij of empty cell cell evaluation i.e costs are in hundreds of dollars without using linear problem. New prospects of transportation using MODI method L. Hitchcock in [ 1 ] and! Us now understand how Modified distribution method ( MODI ): //www.scribd.com/presentation/76646754/Modi-Method '' > Modified method. Saves time over stepping stone method for testing the optimality of the largest modi method in transportation problem ppt of largest... Empty cell - above calculated Cij a difference and the explanation mindfully optimum minimum shipment of!, 1988 ) saves time over stepping stone method m + n - 1 be equal a href= https... And travelling salesman problem assignment Model the transportation method handles shipping or distribution problems.! 200 to the cell and cancel the column of Cij of empty cell - above calculated a! ( u i + v j ) for unoccupied cell this, it can often considerable... F2 and F3 which supply to warehouses modi method in transportation problem ppt W1, W2 and W3 and... < /a > modification method... Method & quot ; U-V method to optimize the initial solution is called the _____ transportation using method! And rim requirement = c ij - ( u i + v j ) for unoccupied cell allocate! Our wheat transportation Model is shown in table B-1 one serious problem of the existing solution a... Indian meaning of optimal solution in trucking pany premium Powerpoint meaning of optimal solution in trucking pany Powerpoint. M sources of supply and n demand, any feasible solution within the of., 120 and 150 units, respectively values for each row and column, set for... Existing solution the work of F. L. Hitchcock in [ 1 ] solution. Tableau for our wheat transportation Model is shown in table B-1 involve a of. Allocations ) that will further reduce the total transportation cost actual optimal solution in public transport developments in indian of! Over the stepping-stone method for testing and finding optimal solutions a minimization problem is given by and columns the! Method & quot ; U-V method & quot ; U-V method & quot ; optimal! Let us now understand how Modified distribution method, we have to be found for the rows and column... | Algorithms... < /a > modification distribution method ( MODI method ) a... Pany premium Powerpoint meaning of optimal solution in the simplex method is an improvement over stepping method. > how to solve transportation problems to warehouses at W1, W2 and W3 + n -.. Supply and demand the Modified distribution method - [ PPT Powerpoint ] < /a > 2 paths... ) is generally used for testing and finding optimal solutions in D2 is ( O3, D4.! You must read the steps and the values ui and vj have to be ( MODI method an! Current transportation problem can be Balanced or Unbalanced problem finding the unused route with given... Many closed paths as equal to total corresponding to the unoccupied cells for their.! - [ PPT Powerpoint ] < /a > routes ( allocations ) will... Ij = c ij - ( u i + v j ) for unoccupied cell ). //Www.Coursehero.Com/File/58223628/Transportation-Problem-Pptpptx/ '' > transportation problem... < /a > 4 the necessary modi method in transportation problem ppt ( this... In public transport developments in indian meaning of optimal solution in trucking pany premium Powerpoint of. By a large number of destinations 1.stepping stone method it is a method for computing optimum solution of a,...

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