Learning Outcomes • Mahasiswa akan dapat menjelaskan definisi, pengertian, klasifikasi, motivasi penggunaan simulasi,model simulasi dan langkah-langkah proses simulasi. Bina Nusantara Outline Materi: • • • • Bina Nusantara Pengertian simulasi Klasifikasi model simulasi Motivasi menggunakan simulasi Langkah-langkah proses simulasi Pengertian Simulasi (Simulation) Simulation: a descriptive technique that enables a decision maker to evaluate the behavior of a model under various conditions. •Simulation models complex situations •Models are simple to use and understand •Models can play “what if” experiments •Extensive software packages available Bina Nusantara Simulation Process 1. Identify the problem 2. Develop the simulation model 3. Test the model 4. Develop the experiments 5. Run the simulation and evaluate results 6. Repeat 4 and 5 until results are satisfactory Bina Nusantara Monte Carlo Simulation Monte Carlo method: Probabilistic simulation technique used when a process has a random component • Identify a probability distribution • Setup intervals of random numbers to match probability distribution • Obtain the random numbers • Interpret the results Bina Nusantara Simulating Distributions • Poisson – Mean of distribution is required • Normal – Need to know the mean and standard deviation Simulated = Mean value Bina Nusantara + Random X Standard number deviation Uniform Distribution F(x) 0 a b x Simulated a + (b - a)(Random number as a percentage) = value Bina Nusantara Negative Exponential Distribution F(t) P ( t T ) . RN 0 Bina Nusantara T t Computer Simulation • Simulation languages – SIMSCRIPT II.5 – GPSS/H – GPSS/PC – RESQ Bina Nusantara Advantages of Simulation • Solves problems that are difficult or impossible to solve mathematically • Allows experimentation without risk to actual system • Compresses time to show long-term effects • Serves as training tool for decision makers Bina Nusantara Limitations of Simulation • Does not produce optimum solution • Model development may be difficult • Computer run time may be substantial • Monte Carlo simulation only applicable to random systems Bina Nusantara Bina Nusantara