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Simulasi sistem persediaan
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Outline What is Simulation? Advantages and Disadvantages of Simulation
Monte Carlo Simulation Simulation and Inventory Analysis The Role of Computers in Simulation
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Learning Objectives When you complete this chapter, you should be able to Identify or Define: Monte Carlo simulation Random numbers Random number interval Simulation software Explain or be able to use: The advantages and disadvantages of modeling with simulation The use of Excel spreadsheets in simulation
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Simulation Numerical technique of experimentation
Attempts to duplicate a system Features Behavior Requires description of system Many application areas Operations management Finance & economics
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Some Applications of Simulation
Ambulance location and dispatching Bus scheduling Assembly-line balancing Design of library operations Parking lot and harbor design Taxi, truck, and railroad dispatching Distribution system design Production facility scheduling Scheduling aircraft Plant layout Labor-hiring decisions Capital investments Personnel scheduling Production scheduling Traffic-light timing Sales forecasting Voting pattern prediction Inventory planning and control
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Simulation The idea behind simulation is to:
Imitate a real-world situation mathematically Study its properties and operating characteristics Draw conclusions and make action recommendations based on the results of the simulation
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The Process of Simulation
Define the Problem Introduce important variables Construct simulation model Specify values of variables to be tested Conduct the simulation Examine the results Select best course of action
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Advantages of Simulation
flexible, straightforward can analyze large, complex real-world problems for which no closed-form analytical solutions exists can include real-world complications which most other techniques cannot enables “time compression” allows “what if” type questions does not interfere with the real-world system allows study of relationships
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Disadvantages of Simulation
Can be expensive and time consuming Does not yield optimal solution Requires good managerial input Results not generalizable to other situations © T/Maker Co.
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The Monte Carlo Simulation Technique
Setup probability distribution for important variables Build cumulative distribution for each variable Establish interval of random numbers for each variable Generate random numbers Simulate a series of trials
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Partial Table of Random Numbers (upper left corner)
52 06 50 88 53 30 10 47 99 37 66 91 35 63 28 02 74 24 03 29 60 85 90 82 57 68 05 94 11 27 79 87 92 69 36 49 71 32 75 21 95 98 78 23 67 89 25 96 62 56 72 33 48 17 34 13 44 39 55 18 31 15 40 51 01 61 08 54 12 80 64 73 00 45 14 46 41 86
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Real World Variables Which Are Probabilistic in Nature
Inventory demand Lead time for orders to arrive Time between machine breakdowns Times between arrivals at a service facility Service times Times to complete project activities Number of employees absent from work each day
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Simulation and Inventory Analysis - the Basic Model
Begin Increase current inv by qty order end inv = begin-demand # of lost sales End inv = 0 Generate Random lead time Place order Compute averages Enough Days in simulation? Order placed & not arrived? End inv < reorder point? demand > begin inv? Order arrived? random # for today's demand
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