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I n d u s t r i a l  A p p l i c a t i o n s  a n d Ca s e  S t u d i e s   277


                     further by considering several other issues, such as fouling, pressure
                     drop, and variation in the heat demand.


                11.7  Optimal Design of a Supply Chain
                     In the global market, optimal management control of a company is
                     necessary for survival. Such control involves a series of effective
                     strategic decisions that are concerned with various aspects of the
                     supply chain—for example, decisions regarding the products
                     themselves as well as the location of production facilities and
                     distribution centers. When the subject is the development or
                     operation of highly complex business processes (e.g., supply
                     chains, value chains), computer-aided decisions are preferred.
                     A conventional approach for systematically evaluating decision
                     alternatives is Mathematical Programming, although a daily
                     management problem is usually not resolved via MPR methods.
                     Even when the MPR can be constructed for the problem, it is still
                     difficult to verify whether the mathematical formulation of relevant
                     decision alternatives is sufficiently accurate and complete to
                     identify the optimal solution. When the mathematical model is not
                     generated systematically, the model’s chances of embodying the
                     optimal solution are very low.
                        This case study involves determining the optimal design of a
                     supply chain. Here, the purpose of the supply chain is to meet a given
                     volume demand for commodity C at location L1. Three options are
                     considered: produce commodity C at location L1; produce commodity
                     C at location L2 and then transport it to location L1; or some combination
                     of these. Production requires the availability of part A and part B at
                     the same location. Part A is available at location L3 and, to a limited
                     extent, at location L4; it can be transported to location L1 or to
                     location L2. Part B is available at location L2 and can be transported to
                     location L1. The list of potential activities is given in Table 11.7.


                       ID      Activity      Location      Precondition  Effect
                       P       Production    L1            A and B at L1  C at L1
                        L1
                       P       Production    L2            A and B at L2  C at L2
                        L2
                       T       Transportation  From L3 to L1  A at L3   A at L1
                       AL3L1
                       T       Transportation  From L3 to L2  A at L3   A at L2
                       AL3L2
                       T       Transportation  From L4 to L1  A at L4   A at L1
                       AL4L1
                       T       Transportation  From L4 to L2  A at L4   A at L2
                       AL4L2
                       T       Transportation  From L2 to L1  B at L2   B at L1
                       BL2L1
                       T       Transportation  From L2 to L1  C at L2   C at L1
                       CL2L1
                     TABLE 11.7  Potential Activities in the Supply Chain Case Study
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