Pedro Arantes
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#queueing-theory
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At High Utilization Levels, Queues Grow Much Faster than They Can Shrink
At high utilization levels, losing capacity generates a queue much faster than regaining capacity can shrink.
#queueing-theory
Capacity Utilization Increases Queues Exponentially
Each time you halve the amount of excess capacity, you double the queue. You fold the queue as you move from 80 to 90 or 90 to 95 percent.
#queueing-theory
Queue Capacity Utilization Allows You to Predict Many Queues Characteristics
The percent of the time that the arriving work will find the server busy, the average number of items in the queue, the average number of items in the system.
#queueing-theory
High-States/Congested Queues
Queues in high-state are the same as congested queues, queues at high capacity utilization, with high WIP, or at high level of utilization
#high-state-queues
#queueing-theory
#work-in-process
Quickly Apply Extra Resources to an Emerging Queue
To make supply-focused approaches effective, you must minimize the time between the onset of congestion and the application of added resources.
#high-state-queues
#queueing-theory
#supply-focused-approaches
#work-in-process
Demand-Focused Approaches to Control WIP
One of the biggest advantages of the demand-focused approaches is the speed at which you can execute them.
#product-development
#queueing-theory
#work-in-process
Control WIP by Shedding Requirements
When WIP becomes high, you can purge WIP by decreasing the batch size of your jobs. A way to achieve this is to shed the requirements of your jobs.
#cycle-time
#job-batching
#queueing-theory
#work-in-process
When WIP Is High, Purge Low-Value Projects
When WIP is high, purge low-value projects from the queue to make room for high-value projects.
#product-development
#project-management
#queueing-theory
The Economics of Holding WIP Changes when Queue Size Changes
Whenever WIP is high, queues are high. When queues are high, jobs in the process generate high delay costs. Most of the damage is caused by high-state queues.
#cost-of-delay
#economic-framework
#high-state-queues
#queueing-theory
#work-in-process
Block All Demand when WIP Reaches Its Upper Limit
You can block queues in two ways: 1. Eject the arriving job from the system. 2. Hold back the job in an upstream queue.
#product-development
#queueing-theory
#work-in-process
Economic Waste that Queues Create
Queues create many forms of economic waste: longer cycle time, increased risk, more variability, more overhead, lower quality, and less motivation.
#cost-of-delay
#cycle-time
#lean
#product-development
#queueing-theory
Most of the Damage Done by a Queue Is Caused by High-Queues States
Low-queue states are more probable than high-queue states, but high-queue states are more important because they delay more jobs.
#cycle-time
#product-development
#queueing-theory
#statistics
Slack and Queue Capacity Utilization Are Correlated
So when your system is operating at maximum capacity utilization, you don't have slack. When it isn't working at its full, you have slack.
#product-development
#queueing-theory
#slack
When Response Time Is Important, Measure Response Time
If the time on the critical path is worth a lot of money and a support group is on the path, you should measure the group on response time, not efficiency.
#agile
#critical-path
#efficiency
#product-development
#queueing-theory
#slack
Enhance the Effectiveness of WIP Constraints by Cross-Training Workers
In this situation, if your team can execute the tasks of the bottleneck process, they can help it by increasing its capacity for a short period.
#kanban
#product-development
#queueing-theory
#work-in-process
The Local Constraints of the Kanban System Have an Impressive Feedback Speed
Because of the pull principle, the upstream processes can't send work to the next stage if a blockage occurs anywhere.
#kanban
#product-development
#pull-principle
#queueing-theory
#work-in-process
Effects of Set a Limit on WIP (Work in Process)
When you set a limit on WIP, you create positive and negative effects.
#cycle-time
#queueing-theory
#work-in-process
Queues Randomly Spin Seriously Out of Control and Remain in This State for Long Periods
A random process (sequence of random variables) has the chance to spin out from the mean because the variance of the accumulative total grows larger with time.
#product-development
#queueing-theory
Queues in Product Development
The idle time of waiting works in queues increases the work-in-process, which is the root cause of much waste in product development.
#product-development
#queueing-theory
Work in Process (WIP)
A high number of working in the process leads to a high queue capacity utilization, which causes problems such as a higher cycle time.
#agile
#cycle-time
#queueing-theory
#work-in-process
Round-Robin Scheduling
With this algorithm, the system handles low-priority and doesn't get stuck in large jobs with uncertain time to complete.
#computing
#queueing-theory
Cost of Delay
Cost of delay (COD) determines the financial impact on the company if it releases a product on the market earlier or later. When a product arrives on the market X months earlier, revenues also roll in X months earlier.
#cost-of-delay
#product-development
#queueing-theory
Little's Law
The law states that average queue time will equal the average queue size divided by the average processing rate.
#john-d-c-little
#queueing-theory
Cumulative Flow Diagram (CFD)
The cumulative flow diagram (CFD) is a helpful tool for managing queues.
#cumulative-flow-diagram
#queueing-theory
M/G/1 Queue
In queueing theory, an M/G/1 queue is a queue in which the arrivals are a Markovian, service has a general distribution, and a single server.
#queueing-theory
Queue Capacity Utilization
Queue capacity utilization is the amount of time the service process is working (not idle).
#queueing-theory
Queue Service Process
The queue service process is the process in which the server accomplishes the work.
#queueing-theory
Critical Path
The critical path is the most extended sequence of activities in a project plan. The project is only completed on time only if you meet these activities.
#critical-path
#product-development
#product-management
#queueing-theory
Queueing Theory
It can provide essential insights to product developers because there're similar problems of unpredictable work arrival time and unpredictable task durations.
#agner-krarup-erlang
#david-kendall
#kendal-notation
#math
#product-development
#queueing-theory
#statistics