A Scheduling Service Oriented Approach for Workflow Scheduling by Conan Fan Li Supervisor: Dr. Wendy...
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Transcript of A Scheduling Service Oriented Approach for Workflow Scheduling by Conan Fan Li Supervisor: Dr. Wendy...
A Scheduling Service Oriented Approach for Workflow Scheduling
byConan Fan Li
Supervisor: Dr. Wendy MacCaullCommittee member: Dr. Man LinCommittee member: Dr. Iker Gondra
Background What is a workflow?
A model to represent real work for further assessment. It is composed of a number of tasks which are connected in the form of a directed graph.
Background What is scheduling?
The process of making decisions about the allocation of resources for a number of tasks to achieve one or more objectives.
When do we need scheduling?
Definitions A schedule has unforced idleness if some machines
idle when there are jobs waiting for processing. A schedule is non-delay if unforced idleness is prohibited.
Examples of possible objective functions to be minimized are: Makespan: completion time of the last job to leave the
system. Maximum lateness: the worst violation of the due dates. Total weighted completion time: the sum of the weighted
completion times of the n jobs. ...
A multi-instance task is a task that may have multiple distinct execution instances running concurrently within the same workflow case.
Definitions We say a job is waiting when it is not
assigned to any machine or finished. We say a job is independent when it does
not have a precedence constraint or the precedence constraint is satisfied (i.e., the preceding job is finished).
We say a job is machine-ready when its required machine is free.
We say a job is enabled when it is waiting, independent and machine-ready.
Definitions Schedule-flow is a framework that has a
predisposition to model scheduling processes in workflow. Schedule-flow patterns are an extension to the workflow language formalism - Workflow Patterns. By assembling and modifying the existing workflow patterns, schedule-flow introduces new patterns that carries particular responsibilities and services in scheduling systems.
Definitions Schedule-flow is a framework that has a
predisposition to model scheduling processes in workflow. It is an extension to the workflow language formalism - Workflow Patterns. By assembling and modifying the existing workflow patterns, schedule-flow introduces new patterns that carries particular responsibilities and services in scheduling systems.
A* search uses a distance-plus-cost evaluation function (f(x)) to determine the order in which the search visits nodes in the fringe. The distance-plus-cost heuristic is a sum of two functions: the cost function, which is the cost from the starting node to
the current node (usually denoted g(x)) and an "heuristic estimate" of the distance to the goal (h(x)).
Relation Scheduling is a ___ and a workflow is to
represent a ___. Why use workflow to model scheduling?
Workflow is concise, comprehensive and high-level Scheduling is diverse, technical and low-level We want to visualize the scheduling process
Workflow has a wider range of audience than scheduling does. That is why we need to bridge
them.
Attempt
We may choose Job0 to process first. Why does this seem like a smart choice?
2. multi-instance tasks are
confusing and high-maintenance
3. Need to incorporate smart
choices
Attempt
We want to assign as many
jobs as possible before
processing
4. Options for
unforced idleness
Attempt … we get this:(57,
{<0,0,0,7>, <0,4,7,22>, <0,2,22,43>,
<1,1,7,16>, <1,5,22,52>, <1,3,52,57>})
An event:<machine, job,start,end>
clock attribute of a schedule
Attempt … we get this:(57,
{<0,0,0,7>, <0,4,7,22>, <0,2,22,43>,
<1,1,7,16>, <1,5,22,52>, <1,3,52,57>})
Gantt chart
Forced idleness
Problems The size issue
The size of the resulting workflow grows in accordance to the size of the problem (number of jobs and number of machines). There are also too many variables to configure inside the workflow. This is neither concise or comprehensive.
The complication of multi-instance tasks Users may not understand when to use them
The lack of heuristic incorporation When several jobs are presented to a machine,
there should be a mechanism to decide which one appears to be the best option
Problems The lack of options for unforced idleness
There should be an easy way of expressing that we do not want to allow unforced idleness, that is, when a machine is free, we always try to assign a job to it if possible.
The lack of comparison and sorting We do not want the workflow to stop as soon as it
finds one feasible schedule. Instead, we need it to compare all the schedules and present the best one. There should be a mechanism to easily compare and sort the schedules.
Proposal The current workflow components are clearly
not sufficient for constructing sophisticated schedulers. Therefore, we need a set of new workflow patterns to provide the services we need in scheduling. We call the extension schedule-flow patterns.
Schedule-flow Present the data (jobs and machines) in a single file
instead of mapping each one of them to a task in the workflow. This way, the size of the workflow will not be proportional to the size of the scheduling problem. More importantly, the same workflow can now work with different sets of data.
Eliminate the usage of multi-instance tasks. Instead, we use a data structure called “fringe”(a collection of ideas, see A*) which is implemented as a priority queue. Different execution instances (schedules) will be evaluated first and then pushed into the fringe.
Heuristics may be given by users regarding the preference of assignment. For example, we may want to assign the jobs with the least processing times first (SPT).
Schedule-flow By default, we do not allow unforced idleness.
We would like to keep the machines as busy as possible. “For many the models that have regular objective
functions, there are optimal schedules that are non-delay”
The fringe provides options for its priority rule, which is the order that the schedules are sorted.
Schedule-flow task components Creation
Does nothing Pop
current=fringe.pop() Selection
By default, select jobs that are enabled (or independent, machine-ready…)
Allocation Generate schedules by assigning jobs to corresponding
machines Process
Generate one schedule by advancing time until any job is finished
Push fringe.push(schedules)
Schedule-flow condition components Exist
Tests if the input exists Continue
By default, tests if the fringe is empty. Other options may be used such as limiting the execution time or the number of schedules generated…
Use Schedule-flow in practice Design a schedule-flow with a graphic editor
We used YAWL in this case.
Use Schedule-flow in practice Provide the files
Job file (e.g., “jobs.csv”) Machine file Schedule-flow XML file generate by the graphic
editor Parse the schedule-flow file and detect
schedule-flow components by matching names. We used a Python script to parse the YAWL’s XML
file.
<task id="POP_93"> <name>POP</name> <flowsInto> <nextElementRef id="SELECT_87" /> </flowsInto> <join code="xor" /> <split code="and" /> </task>
Use Schedule-flow in practice Configure the components, objective and
heuristic In this case, every component uses the default
setting Objective is set to minimize the makespan.
Therefore, the cost function g(S)=S.clock Heuristic is initially 0 (f(x)=g(x), see A*). For this
case, we set the heuristic function to return the processing time of the future event (see future event) with the earliest end time
Bind: automatically connect the components according the schedule-flow
Run the schedule-flow
Schedule-flow simulation
Changes Values
fringe = [S0]S0 is the initial
schedule where no jobs are assigned.
S0={ }
Schedule-flow simulation
Changes Values
SELECT.output=[0,2,4] current=S0
fringe=[]
SELECT.output=[0,2,4]
Schedule-flow simulation
Changes Values
EXIST returns True current=S0
fringe=[]
SELECT.output=[0,2,4]
Schedule-flow simulation
Changes Values
ALLOCATE.output={S1,S2,S3} current=S0
fringe=[]S1: (0,{<0,0,0,7>})S2:(0,{<0,2,0,21>})S3:(0,{<0,4,0,15>})
Schedule-flow simulation
Changes Values
fringe.push(ALLOCATE.output) current=S0
fringe=[S1,S3,S2]
f(S1)=0+7=7f(S3)=0+15f(S2)=0+21
S1: (0,{<0,0,0,7>})S3:(0,{<0,4,0,15>})S2:(0,{<0,2,0,21>})
Schedule-flow simulation
Changes Values
current=fringe.pop() current=S1=(0,{<0,0,0,7>})
fringe=[S3,S2]
Schedule-flow simulation
Changes Values
SELECT.output=[] current=S1=(0,{<0,0,0,7>})
fringe=[S3,S2]
SELECT.output=[]No jobs are enabled in S1!
Schedule-flow simulation
Changes Values
EXIST returns False current=S1=(0,{<0,0,0,7>})
PROCESS.output=S4=(7,{<0,0,0,7>}) fringe=[S3,S2]
Schedule-flow simulation
Changes Values
fringe.push(S4) current=S1=(0,{<0,0,0,7>})
fringe=[S4,S3,S2]
f(S4)=7+0f(S3)=15f(S2)=21
S4: (7,{<0,0,0,7>})S3:(0,{<0,4,0,15>})S2:(0,{<0,2,0,21>})
Schedule-flow simulation
Changes Values
CONTINUE returns True current=S1=(0,{<0,0,0,7>})
fringe=[S4,S3,S2]
Schedule-flow simulation Many more iterations… … we get this:(57,
{<0,0,0,7>, <0,4,7,22>, <0,2,22,43>,
<1,1,7,16>, <1,5,22,52>, <1,3,52,57>})
Gantt chart
FAQ Why is schedule-flow a framework?
Like many other frameworks (e.g., openGL, Joomla...), schedule-flow is “an abstraction in which software providing generic functionality can be selectively changed by user code, thus providing application specific software. It is a collection of software libraries providing a defined application programming interface (API)”.
How to use schedule-flow with a particular workflow language (e.g., NOVA workflow). The translation between workflow languages and schedule-flow
should be left to the applications. The translation could be as simple as extracting the names and dependencies of the tasks in the workflow like what we did with YAWL. However, for a more sophisticated and user-friendly software, advanced configurations such as heuristic function may be also incorporated into the workflow graphic editor to provide better user experience.
FAQ Why do we need to use workflow to model
schedulers anyway? To be concise, comprehensive and visual. If we can
see each step in the scheduling process, it is easier to optimize and make changes.
What problems does schedule-flow solve? By cutting the direct mapping between jobs and
workflow tasks, schedule-flow provides more flexibility so that the same structure can be used for more than just one problem. Moreover the size of the resulting workflow is significantly reduced.
By introducing the concepts of heuristics, schedule-flow makes “smart” choices instead of random permutation for job assignments.