Transcript National Cranberry
Operations Management National Cranberry - Lecture 5 (Chapter 5)
Dr. Ursula G. Kraus
1/12
Review • • • • Flow Time Analysis Capacity Analysis Kristen’s Cookie Company Resource Pools 2/12
Review: Process Flow Measures
Flow Time
(T): The
average
time a job spends in the process
Inventory
(I): The
average
number of jobs accumulated in the process
Throughput
, or Flow Rate (R): The
average
rate at which jobs flow through a process
Little’s Law I = R x T
Source: Managing Business Process Flows (1999) 3/12
Agenda • National Cranberry Coop • The Effect of Variability 5/12
Critical Assumptions from National Cranberry Truck
arrivals
are constant, evenly spaced over the 11 (12) hour period The
mix
70/30 between wet and dry berries is constant at No variation in
processing time
processing stages at the individual 6/12
Agenda • National Cranberry Coop • The Effect of Variability 7/12
Post Office: Why Do Queues form?
• Average inter-arrival time is 4 minutes • Average processing time 3 minutes We are processing customers faster than they arrive so what's the problem?
Source: Managing Business Process Flows (1999) 8/12
Post Office: Customer processing
Customer # Time Time
Source: Prof. K. Gue, Winter 03 9/12
Post Office: With constant processing time
Customer # Time Time
Source: Prof. K. Gue, Winter 03 10/12
Post Office: … and constant interarrival time
Customer # Time Time
Source: Prof. K. Gue, Winter 03 11/12
Reasons Why Queues form
Variability:
– interarrival times – processing times – server availability
Call #
10 9 8 3 2 1 0 7 6 5 4 0 20
(System) Utilization:
= throughput/capacity Source: Managing Business Process Flows (1999)
Inventory (# of calls in system)
5 4 3 2 1 0 0 20 40
TIME
60 40
TIME
60 80 80 100 100 12/12