Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the NP-hard  m - parallel two-stage flowshop    problem, abbreviated as the   (m,2)     (  m  ,  2  )       -PFS problem, where  need to schedule  n  jobs to  m  parallel identical two-stage flowshops in order to minimize the makespan,  i.e.  the maximum completion time of all the jobs on the  m    flowshops. The   (m,2)     (  m  ,  2  )       -PFS problem can be decomposed into two subproblems: to assign the  n  jobs to the  m    parallel flowshops, and for each flowshop to schedule the jobs assigned to the flowshop.  first present a pseudo-polynomial time dynamic programming algorithm to solve the   (m,2)     (  m  ,  2  )       -PFS problem optimally, for any fixed  m   , based on an earlier idea for solving the   (2,2)     (  2  ,  2  )       -PFS problem. Using the dynamic programming algorithm as a subroutine,  design a fully polynomial-time approximation scheme (FPTAS) for the   (m,2)     (  m  ,  2  )       -PFS problem.
['Jianming Dong', 'Weitian Tong', 'Taibo Luo', 'Xueshi Wang', 'Jueliang Hu', 'Yinfeng Xu', 'Guohui Lin']
I am writing a research paper on a idea An FPTAS for the parallel two-stage flowshop problem
[{"from": "human", "value": "I am writing a research paper on a idea An FPTAS for the parallel two-stage flowshop problem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the NP-hard  m - parallel two-stage flowshop \u00a0  problem, abbreviated as the   (m,2)     (  m  ,  2  )       -PFS problem, where  need to schedule  n  jobs to  m  parallel identical two-stage flowshops in order to minimize the makespan,  i.e.  the maximum completion time of all the jobs on the  m \u00a0  flowshops. The   (m,2)     (  m  ,  2  )       -PFS problem can be decomposed into two subproblems: to assign the  n  jobs to the  m \u00a0  parallel flowshops, and for each flowshop to schedule the jobs assigned to the flowshop.  first present a pseudo-polynomial time dynamic programming algorithm to solve the   (m,2)     (  m  ,  2  )       -PFS problem optimally, for any fixed  m \u00a0 , based on an earlier idea for solving the   (2,2)     (  2  ,  2  )       -PFS problem. Using the dynamic programming algorithm as a subroutine,  design a fully polynomial-time approximation scheme (FPTAS) for the   (m,2)     (  m  ,  2  )       -PFS problem."}]