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R W Problem 8: The ACE Machine Company is considering using a prority scheduling rule in its fabrication shop and must decide whether to use: the critical ratio rule, the order slack rule, the shortest operation next rule, or the slack per operation rule. The following table shows the company's current inventory and shop status. Manufacturing Order Number Lead Time Time Remaining Until Current Operation Processing Total Number of Processing Operations Remaining Due Date Time Remaining Time Remaining 1 2 3 4 5 22222 15 7 2 3 15 11 3 4 8 20 5 2 8 15 4 3 8 15 3 1 12 8 Note: Time is measured in days. Manufacturing lead-time remaining includes both the machine processing time and the length of time onders spend moving and waiting to be processed in a machine que Current operation processing time (as well as total processing time a) State the formula for calculating the priority index for each of sequencing rules given previously. b) Compute the scheduling priority for each order, four sequencing rules.

R W Problem 8: The ACE Machine Company is considering using a prority scheduling rule in its fabrication shop and must decide whether to use: the critical ratio rule, the order slack rule, the shortest operation next rule, or the slack per operation rule. The following table shows the company's current inventory and shop status. Manufacturing Order Number Lead Time Time Remaining Until Current Operation Processing Total Number of Processing Operations Remaining Due Date Time Remaining Time Remaining 1 2 3 4 5 22222 15 7 2 3 15 11 3 4 8 20 5 2 8 15 4 3 8 15 3 1 12 8 Note: Time is measured in days. Manufacturing lead-time remaining includes both the machine processing time and the length of time onders spend moving and waiting to be processed in a machine que Current operation processing time (as well as total processing time a) State the formula for calculating the priority index for each of sequencing rules given previously. b) Compute the scheduling priority for each order, four sequencing rules.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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D E F G H J K L M N Hint: It is convenient to enter the data in a table, before doing the calculations P R S T U V W X Q Problem 8: The ACE Machine Company is considering using a prority scheduling rule in its fabrication shop and must decide whether to use: the critical ratio rule, the order slack rule, the shortest operation next rule, or the slack per operation rule. The following table shows the company's current inventory and shop status. Order # Manufacturing Lead Time Remaining Time Remaining Until Due Current Operation Processing Time # of Operations Remaining Order Date Total Processing Time Remaining Order Number Manufacturing Lead Time Remaining Time Remaining Until Due Date Current Operation Processing Time Number of Operations Remaining Total Processing Time Remaining Shortest Operation Rule Critical Ratio Order Slack Slack per Operation Resulting Priority Sequences: Order to 1 2 3 4 5 1 15 7 2 3 8 1 15 7 2 3 8 2 15 11 3 4 8 0.47 0.73 -0.10 -0.33 0.20 2 15 11 3 4 8 3 20 -2 5 2 8 5 8 -7 -9 2 3 20 -2 5 2 8 4 15 -5 4 3 8 4 15 -5 4 3 8 5 15 3 1 12 8 1.70 2.00 -3.50 -3.00 0.20 5 15 3 1 12 8 Rule Note: Time is measured in days. Manufacturing lead-time remaining includes both the machine processing time and the length of time orders spend moving and waiting to be processed in a machine queue. Current operation processing time (as well as total processing time remaining) includes no move or queue times. a) State the formula for calculating the priority index for each of sequencing rules given previously. b) Compute the scheduling priority for each order, four sequencing rules. A 1 a) Critical Ratio = 123456 Order Slack = B Shortest Operation next = Slack per Operation = 6 b) Priority Index Calculations: 11 7890123 4 Critical Ratio Order Slack Shortest Operation Slack per Operation run next 4-3-5-1-2 4-3-5-1-2 5-1-2-4-3 3-4-5-1-2 Enter the order number (1,2,3,4, or 5) to run next for each dispatching rule. 5698001234 17 18 20 22 23 24
Transcribed Image Text:D E F G H J K L M N Hint: It is convenient to enter the data in a table, before doing the calculations P R S T U V W X Q Problem 8: The ACE Machine Company is considering using a prority scheduling rule in its fabrication shop and must decide whether to use: the critical ratio rule, the order slack rule, the shortest operation next rule, or the slack per operation rule. The following table shows the company's current inventory and shop status. Order # Manufacturing Lead Time Remaining Time Remaining Until Due Current Operation Processing Time # of Operations Remaining Order Date Total Processing Time Remaining Order Number Manufacturing Lead Time Remaining Time Remaining Until Due Date Current Operation Processing Time Number of Operations Remaining Total Processing Time Remaining Shortest Operation Rule Critical Ratio Order Slack Slack per Operation Resulting Priority Sequences: Order to 1 2 3 4 5 1 15 7 2 3 8 1 15 7 2 3 8 2 15 11 3 4 8 0.47 0.73 -0.10 -0.33 0.20 2 15 11 3 4 8 3 20 -2 5 2 8 5 8 -7 -9 2 3 20 -2 5 2 8 4 15 -5 4 3 8 4 15 -5 4 3 8 5 15 3 1 12 8 1.70 2.00 -3.50 -3.00 0.20 5 15 3 1 12 8 Rule Note: Time is measured in days. Manufacturing lead-time remaining includes both the machine processing time and the length of time orders spend moving and waiting to be processed in a machine queue. Current operation processing time (as well as total processing time remaining) includes no move or queue times. a) State the formula for calculating the priority index for each of sequencing rules given previously. b) Compute the scheduling priority for each order, four sequencing rules. A 1 a) Critical Ratio = 123456 Order Slack = B Shortest Operation next = Slack per Operation = 6 b) Priority Index Calculations: 11 7890123 4 Critical Ratio Order Slack Shortest Operation Slack per Operation run next 4-3-5-1-2 4-3-5-1-2 5-1-2-4-3 3-4-5-1-2 Enter the order number (1,2,3,4, or 5) to run next for each dispatching rule. 5698001234 17 18 20 22 23 24
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