How to do Monte Carlo Method for exceedingly large numbers?












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For a paper I'm writing for my math class, I need to do several Monte Carlo simulations for a game I'm playing. The $p=0.6190411273$, a normal number... but the $n=2.14974(10^{10})$. I've tried to run a simple Monte Carlo simulation on my TI-84, but it flat-out refuses to do a simulation that big. Does anyone know how I would go about doing a Monte Carlo simulation for such a large number of trials?










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  • $begingroup$
    1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
    $endgroup$
    – David G. Stork
    Jan 15 at 19:25












  • $begingroup$
    Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
    $endgroup$
    – copper.hat
    Jan 15 at 19:33










  • $begingroup$
    It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
    $endgroup$
    – Damien
    Jan 15 at 20:34
















0












$begingroup$


For a paper I'm writing for my math class, I need to do several Monte Carlo simulations for a game I'm playing. The $p=0.6190411273$, a normal number... but the $n=2.14974(10^{10})$. I've tried to run a simple Monte Carlo simulation on my TI-84, but it flat-out refuses to do a simulation that big. Does anyone know how I would go about doing a Monte Carlo simulation for such a large number of trials?










share|cite|improve this question









$endgroup$












  • $begingroup$
    1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
    $endgroup$
    – David G. Stork
    Jan 15 at 19:25












  • $begingroup$
    Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
    $endgroup$
    – copper.hat
    Jan 15 at 19:33










  • $begingroup$
    It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
    $endgroup$
    – Damien
    Jan 15 at 20:34














0












0








0





$begingroup$


For a paper I'm writing for my math class, I need to do several Monte Carlo simulations for a game I'm playing. The $p=0.6190411273$, a normal number... but the $n=2.14974(10^{10})$. I've tried to run a simple Monte Carlo simulation on my TI-84, but it flat-out refuses to do a simulation that big. Does anyone know how I would go about doing a Monte Carlo simulation for such a large number of trials?










share|cite|improve this question









$endgroup$




For a paper I'm writing for my math class, I need to do several Monte Carlo simulations for a game I'm playing. The $p=0.6190411273$, a normal number... but the $n=2.14974(10^{10})$. I've tried to run a simple Monte Carlo simulation on my TI-84, but it flat-out refuses to do a simulation that big. Does anyone know how I would go about doing a Monte Carlo simulation for such a large number of trials?







monte-carlo simulation calculator






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asked Jan 15 at 19:23









Drew WeissermanDrew Weisserman

205




205












  • $begingroup$
    1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
    $endgroup$
    – David G. Stork
    Jan 15 at 19:25












  • $begingroup$
    Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
    $endgroup$
    – copper.hat
    Jan 15 at 19:33










  • $begingroup$
    It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
    $endgroup$
    – Damien
    Jan 15 at 20:34


















  • $begingroup$
    1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
    $endgroup$
    – David G. Stork
    Jan 15 at 19:25












  • $begingroup$
    Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
    $endgroup$
    – copper.hat
    Jan 15 at 19:33










  • $begingroup$
    It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
    $endgroup$
    – Damien
    Jan 15 at 20:34
















$begingroup$
1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
$endgroup$
– David G. Stork
Jan 15 at 19:25






$begingroup$
1) Get the largest computing resources you can find (including multi-core machines), 2) Break the problem into portions of $n$, 3) Use optimized code.
$endgroup$
– David G. Stork
Jan 15 at 19:25














$begingroup$
Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
$endgroup$
– copper.hat
Jan 15 at 19:33




$begingroup$
Even if you can do a million simulations per second, this will take over 5 hours. What is the largest $n$ your calculator can handle?
$endgroup$
– copper.hat
Jan 15 at 19:33












$begingroup$
It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
$endgroup$
– Damien
Jan 15 at 20:34




$begingroup$
It is difficult to give an advice without more information on the simulation. First try to find a solution at the algorithmic level
$endgroup$
– Damien
Jan 15 at 20:34










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