Page 118 - Analysis, Synthesis and Design of Chemical Processes, Third Edition
P. 118

For the overlapping scheme, when the number of batches (n) to be produced is large, the cycle time is
                    approximated by


                    (3.5)








                    Therefore,  for Example  3.1,  the  nonoverlapping  and  overlapping  cycle  times  are  14.5  h  and  4  h,
                    respectively.


                    3.4 Flowshop and Jobshop Plants





                    Thus far, the discussion has focused on the production of only a single product. However, most batch
                    plants produce multiple products. All these products may require the same processing steps, or more often
                    will  require  only  a  subset  of  all  possible  steps.  Moreover,  the  order  in  which  a  batch  process  uses

                    different equipment might also differ from product to product.

                    3.4.1 Flowshop Plants





                    Consider  a  plant  that  must  make  three  products:  A,  B,  and  C. Figure  3.4  shows  an  example  of  the
                    sequence of equipment used to produce these three products. In Figure 3.4, all the products use the same

                    equipment in the same order or sequence, but not necessarily for the same lengths of time. This type of
                    plant  is  sometimes  referred  to  as  a flowshop  plant  [4].  The  total  time  for  operation  of  overlapping
                    schedules  depends  on  the  number  of  runs  of  each  product  and  how  these  runs  are  scheduled.  One
                    approach to scheduling multiple products is to run each product in a campaign during which only that
                    product is made. Then the plant is set up to run the next product in a campaign, and so on. The case when
                    multiple products, using the same equipment in the same order, are to be produced in separate campaigns
                    is considered first. If the corresponding numbers of batches for products A, B, C in a campaign are n , n ,
                                                                                                                                          B
                                                                                                                                      A
                    and n , respectively, then the total processing time, or production cycle time, can be found by adding the
                          C
                    operation times for each product. If the number of batches per campaign is large (for example, >10), then
                    the production cycle time can be approximated by


                    Figure 3.4 An Example of a Flowshop Plant for Three Products A, B, and C
   113   114   115   116   117   118   119   120   121   122   123