Friday, July 18, 2008

Paper-Project 1: Finite Resources

  • Paper should contain chapter with statistics of production/consumption processes, producing Gaussian, exp-correlated concentration fluctuations
  • Applicable to economy (workers/construction sites), computer multitasking (CPUs/jobs), biochemistry (enzymes/assembly sites)
  • Check how different P(s_max) affect the P(T_compl)
  • Graphs: progress of indiv. jobs s_i(t), # completed jobs n_c(t), # pending jobs n_p(t)
  • Explanation of the effect of new workers available after completion should be rephrased in terms of the T_compl_av, the average completion time.
  • Assume that s_max has upper limit s_lim. Then each job is finished after a finite time. How does this change long-time behaviour ?
  • What happens when the total number of workers w(t) is demand-regulated on time scales much longer than the longest site completion period ? d/dt w = (n_p-n_pGoal)/tau
  • A slightly relavant paper is Wilhelm03.

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