Question: A small manufacturing system processes two high volume parts: P. and P.. Each of 50 units of P, is first processed on Mi and then
A small manufacturing system processes two high volume parts: P. and P.. Each of 50 units of P, is first processed on Mi and then sent to machine Mor Me, where it is further processed and then sent to Ms for final processing. In addition to Ps the manufacturing facility processes 60 units of P., of which 30 are processed first on M, and then machine Mz. Because machine Ms can do the same processing as machine M, for part P, the remaining 30 units of part P2 are processed first on machine Ms and then sent to machine M, for final processing. Two candidate Material Handling Systems, Hi and Hz with purchase costs 100.000 TL and 140,000 TL respectively, are being considered. The unit cost of transporting P, and P, on each of the MHSs between the machines are given in the following table. The corresponding transportation times per unit in minutes) are provided in parentheses in the table. Assume that there are 7150 minutes in the planning period and each handling device is expected to make empty trips 30% of the time. Determine the required MHS and assign the departmental moves to the selected MHS(s). Hint: You should build an LP model and solve it by any optimization package. M: M P: P M M M. M. M M M From M To H P M 7010) 518) M $(5) 202) M: HI H 8(6) 4153 878) (5) P M. HE : M 264) 162) 1 H P A small manufacturing system processes two high volume parts: P. and P.. Each of 50 units of P, is first processed on Mi and then sent to machine Mor Me, where it is further processed and then sent to Ms for final processing. In addition to Ps the manufacturing facility processes 60 units of P., of which 30 are processed first on M, and then machine Mz. Because machine Ms can do the same processing as machine M, for part P, the remaining 30 units of part P2 are processed first on machine Ms and then sent to machine M, for final processing. Two candidate Material Handling Systems, Hi and Hz with purchase costs 100.000 TL and 140,000 TL respectively, are being considered. The unit cost of transporting P, and P, on each of the MHSs between the machines are given in the following table. The corresponding transportation times per unit in minutes) are provided in parentheses in the table. Assume that there are 7150 minutes in the planning period and each handling device is expected to make empty trips 30% of the time. Determine the required MHS and assign the departmental moves to the selected MHS(s). Hint: You should build an LP model and solve it by any optimization package. M: M P: P M M M. M. M M M From M To H P M 7010) 518) M $(5) 202) M: HI H 8(6) 4153 878) (5) P M. HE : M 264) 162) 1 H P