Consider the following process. The processing time (sec/unit) is given for each worker. M1 40 sec...
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Consider the following process. The processing time (sec/unit) is given for each worker. M1 40 sec a) Calculate the following design parameters for this process: Designed CT for Stage 1 Designed CT for Stage 2 Bottleneck Process Designed CT Process Capacity Stage: M2 120 sec M3 140 sec sec / unit sec / unit sec / unit units / hour b) Customers arrive at this process in the following way: Every 240 secs two customers arrives at M1 starting from time 0 and every 240 secs one customer arrives starting from time 100. Once a customer arrives at stage 2, if both servers are empty, the customer is served at the server with lower processing time. Fill in the below Gantt chart. Each grid in the following chart represents 20 sec. You can extend the below chart as needed. BU 1 M1 BU 2 M2 M3 c) Under the arrival schedule given in (b), calculate the following run-time parameters: Demand Rate Flow Rate Actual Cycle Time WIP for Buffer 1 WIP for M1 WIP for Buffer 2 WIP for M2 WIP for M3 Total WIP Flow time units/hour units/hour sec/unit units units units units units units secs d) Use the total WIP and the flow time calculated in (c), then apply the Little's formula to get the flow rate and the actual CT. Specifically, show that a. The flow rate calculated using the Little's law is the same as the flow rate calculated in (c) using the Gantt chart. b. The actual CT calculated using the Little's law is the same as the actual CT calculated in (c) using the Gantt chart. Consider the following process. The processing time (sec/unit) is given for each worker. M1 40 sec a) Calculate the following design parameters for this process: Designed CT for Stage 1 Designed CT for Stage 2 Bottleneck Process Designed CT Process Capacity Stage: M2 120 sec M3 140 sec sec / unit sec / unit sec / unit units / hour b) Customers arrive at this process in the following way: Every 240 secs two customers arrives at M1 starting from time 0 and every 240 secs one customer arrives starting from time 100. Once a customer arrives at stage 2, if both servers are empty, the customer is served at the server with lower processing time. Fill in the below Gantt chart. Each grid in the following chart represents 20 sec. You can extend the below chart as needed. BU 1 M1 BU 2 M2 M3 c) Under the arrival schedule given in (b), calculate the following run-time parameters: Demand Rate Flow Rate Actual Cycle Time WIP for Buffer 1 WIP for M1 WIP for Buffer 2 WIP for M2 WIP for M3 Total WIP Flow time units/hour units/hour sec/unit units units units units units units secs d) Use the total WIP and the flow time calculated in (c), then apply the Little's formula to get the flow rate and the actual CT. Specifically, show that a. The flow rate calculated using the Little's law is the same as the flow rate calculated in (c) using the Gantt chart. b. The actual CT calculated using the Little's law is the same as the actual CT calculated in (c) using the Gantt chart.
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Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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