Class11 - Operations Management Class 1: Introduction to OM...

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1 Operations Management Class 1: Introduction to OM and Process Analysis Class 2: Process Analysis Class 3 and 4: Process Analysis Continued Class 5 and 6: Variability in Processes Class 7: Forecasting Class 8: Quality Management, JIT, MRP, and ERP Class 9: Project Management Class 10: Midterm Review Class 11: Scheduling
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2 Organization Managers Must Schedule Operating room use Patient admission Nursing, security, maintenance staffs Outpatient treatments Classrooms and audiovisual equipment Student and instructor schedules Graduate and undergraduate courses Production of goods Scheduling Examples Hospital University of British Columbia Factory
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3 Organization Managers Must Schedule Chefs, waiters, bartenders Delivery of fresh foods Entertainers Opening of dining areas Maintenance of aircraft Departure timetables Flight crews, catering, gate, and ticketing personnel Scheduling Examples Cafe Airlines
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Scheduling problems Given input data (e.g., processing times, due dates, etc.) we solve four types of simple scheduling problems: 1. Sequence N jobs on a single machine. 2. Sequence N jobs on two machines. 3. Assign N jobs to N machines. 4. Schedule staff to meet demand with consecutive days off. 4
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5 Goals of Scheduling Minimize completion time Maximize utilization (make effective use of personnel and equipment) Minimize WIP inventory (keep inventory levels low) Minimize customer wait time Meet due dates
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6 Performance measures Job flow time: Time a job is completed minus the time the job was first available for processing; avg. flow time measures responsiveness Job lateness: Whether the job is completed ahead of, on, or behind schedule Job tardiness : How long after the due date a job was completed = max(lateness,0); measures due date performance Makespan: The time it takes to finish a batch of jobs; measure of efficiency Average # jobs in system: Measures amount of work-in-progress = Total flow time / Makespan; avg. # measures responsiveness
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7 Example: Average number of jobs Jobs: A and B with processing times 10 each Single Machine A finishes at 10 # of jobs in the system 1 2 B finishes at 20 Time Makespan = 20, Total Flow time = 10 + 20 Average number of jobs = 30 / 20 = 1.5 Average number of jobs Arrived at time 0 waiting to be processed Being processed by single machine {
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8 Scheduling Performance Calculations Mean flow time: MFT = (sum job flow times) / # of jobs = (10+13+17+20)/4 = 60/4 = 15 days Makespan is the length of time to complete a batch Makespan = Completion time for Job D minus arrival time for Job A = 20 – 0 = 20 days Average number of jobs in the system: Average # Jobs = (sum job flow times) / # days to complete batch = (60)/20 = 3 jobs Job A B C D Completion Time 10 13 17 20
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9 Performance Calculations Cont’d Lateness and Tardiness are both measures related to customer service Average tardiness is a more relevant Customer Service measurement as illustrated below Job Completion Date Due Date Lateness Tardiness A 10 15 -5 0 B 13 15 -2 0 C 17 10 7 7 D 20 20 0 0 Average 0 1.75
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This note was uploaded on 06/08/2010 for the course COMM 296 taught by Professor Dasgupta during the Winter '08 term at The University of British Columbia.

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Class11 - Operations Management Class 1: Introduction to OM...

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