8. Todo Corp. operates two complex production lines on an eight-hour-per-day basis. These lines fail frequently due to the extensive workload. The daily probability of line 1 failing is 0.10, and 0.15 in the case of failure at line 2. When any one of the two lines fails, the cost is 10,000 yen each hour, when both lines are down at the same time, the cost is 14,000 yen per hour. The company is trying to decide whether to hire one or two repairpersons. The time for one person to repair a machine is five hours. If two are hired, they can work either as a team or each on one machine. If they work as a team, the repair time is three hours per machine. If a repairperson costs 8,000 yen per day, what would you recommend that Todo do? Note: Repairpersons are salaried and not paid overtime, even if their workload some days requires it The Relationship between Decision Situations and Management Science Techniques Uncertainty Decision situations Certainty Risk X X X X X X X Management science techniques Decision tables Decision trees Game theory Forecasting Linear programming Branch and bound Integer programming Goal programming Distribution (transportation, assignment) Maximum flow CPM Shortest toute PERT Dami progaming Markov chains Inventory Queuing Simulation X X X X X X X X States of nature P Amernative Gourds of acdon Uncontrollable parameters 8 01 02 O 23 021 Decision variables -Payor's a On Onz or I Decision Table Problem Outcomes and Their Probabilities Alternatives Expected Values 8. Todo Corp. operates two complex production lines on an eight-hour-per-day basis. These lines fail frequently due to the extensive workload. The daily probability of line 1 failing is 0.10, and 0.15 in the case of failure at line 2. When any one of the two lines fails, the cost is 10,000 yen each hour, when both lines are down at the same time, the cost is 14,000 yen per hour. The company is trying to decide whether to hire one or two repairpersons. The time for one person to repair a machine is five hours. If two are hired, they can work either as a team or each on one machine. If they work as a team, the repair time is three hours per machine. If a repairperson costs 8,000 yen per day, what would you recommend that Todo do? Note: Repairpersons are salaried and not paid overtime, even if their workload some days requires it The Relationship between Decision Situations and Management Science Techniques Uncertainty Decision situations Certainty Risk X X X X X X X Management science techniques Decision tables Decision trees Game theory Forecasting Linear programming Branch and bound Integer programming Goal programming Distribution (transportation, assignment) Maximum flow CPM Shortest toute PERT Dami progaming Markov chains Inventory Queuing Simulation X X X X X X X X States of nature P Amernative Gourds of acdon Uncontrollable parameters 8 01 02 O 23 021 Decision variables -Payor's a On Onz or I Decision Table Problem Outcomes and Their Probabilities Alternatives Expected Values
