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Transportation model
 

Transportation model

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If you want this presentation just give me a mail to lokeshpayasi@gmail.com

If you want this presentation just give me a mail to lokeshpayasi@gmail.com

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    Transportation model Transportation model Presentation Transcript

    • GYAN GANGA INSTITUTE OF
      TECHNOLOGY AND MANAGEMENT, BHOPAL
      Transportation Problem
      Presented by:
      • Aditya Khare
      • Dhruvnanada Singh Gour
      • Mohd. Muqeem Mansoori
      • Rahul Jain
      Guided by:
      Prof. Lokesh Payasi
    • Definition
      • It deals with problems concerning as to what happens to the effectiveness function when we associate each of a number of origins with each of a possibly different number of destination.
    • History
      • “The Distribution of a Product from Several Sources of Numerous Localities”
      Study by: F.L. Hitchcock(1941)
      • “Optimum Utilization of the Transportation System”
      Study by: T.C. Koopmans(1947)
      These two contribution are mainly responsible for the development of Transportation Model.
    • Application of Transportation Problem
      • Minimize shipping costs
      • Determine low cost location
      • Find minimum cost production schedule
      • Military distribution system
    • Process
      • Standardization of problem
      • Check the nature of the problem
      • Check prohibited cell
      • Check balancing problem
    • Methods
      • North West Corner Rule (NWCR)
      • Row Minima Method
      • Column Minima Method
      • Least Cost Method
      • Vogle Approximation Method (VAM)
    • North West Corner Rule (NWCR)
      • This method consists in allocating in the north-west corner of the matrix.
      Supply
      North-west Corner
      6
      Demand
      /1
    • Row Minima Method
      • This method consists in allocating as much as possible lowest cost cell of the first row.
      Supply
      Minimum cost in the Row
      Demand
    • Column Minima Method
      • This method consists in allocating as much as possible lowest cost cell of the first column.
      Supply
      Minimum cost in the Column
      Demand
    • Least Cost Method
      • This method consists in allocating as much as possible lowest cost cell of the table.
      Supply
      Minimum cost in the Table
      Demand
    • Vogle’s Approximation Method
      • Step 1: Compute the penalties.
      • Step 2: Identify the largest penalty and assign the highest possible value to
      the variable.
      • Step 3: Identify the largest penalty and assign the highest possible value to
      the variable.
      • Step 4: Identify the largest penalty and assign the highest possible value to
      the variable.
    • Vogel’s Method
      Transportation-12
    • AssignmentProblem
    • Introduction
      • It concern to assign a number of resources (origin) to equal number
      of jobs (destination) on to one basis so as to minimize total costs of performing the tasks at hand or maximize total profit of allocation.
    • Applications
      • Assign vehicles to routes.
      • Assign salesmen to sales territories.
      • Assign accountant to clients accounts.
      • Assign development engineers to several construction sites.
      • Assign contracts to bidders through systematic evaluation of bids from competing suppliers.
      • Schedule teachers to classes, etc.
    • Few important Points
      • Balanced Assignment Problem.
      • Unbalanced Assignment Problem.
      • Dummy Job/Facility
      • An Infeasible Assignment.
    • Solution
      Minimum Value of the column
      New Matrix after subtracting the minimum value
    • Thank You