Entrambe le parti precedenti la revisioneRevisione precedenteProssima revisione | Revisione precedente |
magistraleinformaticaeconomia:mpb:start [29/09/2021 alle 09:45 (4 anni fa)] – [Lectures (first half)] Roberto Bruni | magistraleinformaticaeconomia:mpb:start [07/09/2025 alle 10:54 (9 giorni fa)] (versione attuale) – [Announcements] Roberto Bruni |
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====== Business Processes Modeling ====== | ====== Business Processes Modeling ====== |
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{{:magistraleinformaticaeconomia:mpb:hand-drawing-diagram.png?180 | }} | {{:magistraleinformaticaeconomia:mpb:hand-drawing-diagram.png?180 | }} |
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**MPB 2021/22 (295AA / 372AA, 6 cfu)** | **MPB 2025/26 (295AA / 372AA, 6 cfu)** |
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Lecturer: **Roberto Bruni** | Lecturers: **Roberto Bruni**, **Andrea Vandin** |
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Contact: [[http://www.di.unipi.it/~bruni|web]] - [[mailto:bruni@di.unipi.it|email]] - phone 050 2212785 - fax 050 2212726 | Contact: [[http://www.di.unipi.it/~bruni|web Bruni]] - [[https://www.santannapisa.it/en/andrea-vandin|web Vandin]] |
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Office hours: **Wednesday 14:00-16:00 or by appointment** | Office hours: **Thursday 15:00-18:00** |
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==== Objectives ==== | ==== Objectives ==== |
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The course aims to reconcile abstraction techniques and high-level diagrammatic notations together with modular and structural approaches. The objective is to show the impact of the analysis and verification properties of business processes on the choice of the best suited specification and modelling languages. At the end of the course, the students will gain some familiarity with business process terminology, with different models and languages for the representation of business processes, with different kinds of logical properties that such models can satisfy and with different analysis and verification techniques. The students will also experiment with some tools for the design and analysis of business processes. | The course aims to reconcile abstraction techniques and high-level diagrammatic notations together with modular and structural approaches. The objective is to show the impact of the analysis and verification properties of business processes on the choice of the best suited specification and modelling languages. At the end of the course, the students will gain some familiarity with business process terminology, with different models and languages for the representation of business processes, with different kinds of logical properties that such models can satisfy and with different analysis and verification techniques. The students will also experiment with some tools for the design, synthesis and analysis of business processes. |
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[[http://woped.dhbw-karlsruhe.de/|{{:magistraleinformaticaeconomia:mpb:woped-icon.png?50|http://woped.dhbw-karlsruhe.de/woped/}}]] | [[http://woped.dhbw-karlsruhe.de/|{{:magistraleinformaticaeconomia:mpb:woped-icon.png?50|http://woped.dhbw-karlsruhe.de/woped/}}]] |
[[http://www.win.tue.nl/woflan/doku.php|{{:magistraleinformaticaeconomia:mpb:e8adaea8122411aaa79b8afec7c9fb32.media.272x236.jpg?80|http://www.win.tue.nl/woflan/doku.php}}]] | [[https://www.win.tue.nl/woflan/index.html|{{:magistraleinformaticaeconomia:mpb:e8adaea8122411aaa79b8afec7c9fb32.media.272x236.jpg?80|http://www.win.tue.nl/woflan/doku.php}}]] |
[[http://www.processmining.org/prom/start|{{:magistraleinformaticaeconomia:mpb:tools.png?60}}]] | [[https://promtools.org/|{{:magistraleinformaticaeconomia:mpb:tools.png?60}}]] |
[[http://www.yworks.com/en/products_yed_about.html|{{:magistraleinformaticaeconomia:mpb:logo.gif?80}}]] | [[http://www.yworks.com/en/products_yed_about.html|{{:magistraleinformaticaeconomia:mpb:logo.gif?80}}]] |
[[http://bpmn.sourceforge.net/|{{:magistraleinformaticaeconomia:mpb:188072_149141125103453_6888195_q.jpg}}]] | [[http://bpmn.sourceforge.net/|{{:magistraleinformaticaeconomia:mpb:188072_149141125103453_6888195_q.jpg}}]] |
| [[https://ariscommunity.com/aris-express|{{:magistraleinformaticaeconomia:mpb:aoc-logo.png?40|}}]] |
[[http://bpmn.io/|{{:magistraleinformaticaeconomia:mpb:bpmn.io.logo.png?50|}}]] | [[http://bpmn.io/|{{:magistraleinformaticaeconomia:mpb:bpmn.io.logo.png?50|}}]] |
[[https://camunda.com/products/camunda-bpm/modeler/|{{:magistraleinformaticaeconomia:mpb:modeler.png?60|}}]] | [[https://camunda.com/platform/modeler/|{{:magistraleinformaticaeconomia:mpb:modeler.png?60|}}]] |
[[https://www.bizagi.com/platform/modeler|{{:magistraleinformaticaeconomia:mpb:100x_modeler.png?60|}}]] | [[https://www.bizagi.com/platform/modeler|{{:magistraleinformaticaeconomia:mpb:100x_modeler.png?60|}}]] |
[[http://www.visual-paradigm.com/product/vpuml|{{:magistraleinformaticaeconomia:mpb:vpuml60logo.gif?150|http://www.visual-paradigm.com/product/vpuml}}]] | [[http://www.visual-paradigm.com/product/vpuml|{{:magistraleinformaticaeconomia:mpb:vpuml60logo.gif?150|http://www.visual-paradigm.com/product/vpuml}}]] |
| [[https://fluxicon.com/disco/|{{:magistraleinformaticaeconomia:mpb:disco.png?60|}}]] |
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* [[http://woped.dhbw-karlsruhe.de/|Woped]]: Workflow Petri Net Designer | * [[http://woped.dhbw-karlsruhe.de/|Woped]]: Workflow Petri Net Designer |
* [[http://www.win.tue.nl/woflan/doku.php|Woflan]]: a Petri-net-based Workflow Analyzer (Windows only), also available as a [[http://www.processmining.org/prom/start|ProM]] plugin (all platforms) | * [[https://www.win.tue.nl/woflan/index.html|Woflan]]: a Petri-net-based Workflow Analyzer (Windows only), also available as a [[http://www.processmining.org/prom/start|ProM]] plugin (all platforms) |
* [[http://www.processmining.org/prom/start|ProM]]: Process Mining Framework | * [[https://promtools.org/|ProM]]: Process Mining Framework |
* [[http://www.yworks.com/en/products_yed_about.html|yEd]]: Graph Editor | * [[http://www.yworks.com/en/products_yed_about.html|yEd]]: Graph Editor |
| * [[https://ariscommunity.com/aris-express|ARIS Express]]: Flowchart Editor |
* [[http://bpmn.sourceforge.net/|Yaoqiang BPMN Editor]]: BPMN Editor | * [[http://bpmn.sourceforge.net/|Yaoqiang BPMN Editor]]: BPMN Editor |
* [[http://bpmn.io/|BPMN.io]]: BPMN Editor | * [[http://bpmn.io/|BPMN.io]]: BPMN Editor |
* [[https://camunda.com/products/camunda-bpm/modeler/|Camunda Modeler]]: BPMN Editor | * [[https://camunda.com/platform/modeler/|Camunda Modeler]]: BPMN Editor |
* [[https://www.bizagi.com/platform/modeler|Bizagi Process Modeler]]: BPMN editor (Windows only) | * [[https://www.bizagi.com/platform/modeler|Bizagi Process Modeler]]: BPMN editor (Windows only) |
* [[https://www.visual-paradigm.com/|Visual Paradigm]] supports University of Pisa with [[https://www.visual-paradigm.com/features/uml-and-sysml-tools/|UML tools]] and [[https://www.visual-paradigm.com/features/database-design-with-erd-tools/|ERD tools]] under the [[https://www.visual-paradigm.com/partner/academic/|VP Academic Training Partner Program]] | * [[https://www.visual-paradigm.com/|Visual Paradigm]] supports University of Pisa with [[https://www.visual-paradigm.com/features/uml-and-sysml-tools/|UML tools]] and [[https://www.visual-paradigm.com/features/database-design-with-erd-tools/|ERD tools]] under the [[https://www.visual-paradigm.com/partner/academic/|VP Academic Training Partner Program]] |
* [[https://online.visual-paradigm.com/diagrams|VP online diagrams]] | * [[https://online.visual-paradigm.com/diagrams|VP online diagrams]] |
| * [[https://fluxicon.com/disco/|Disco]]: Business Process Mining Tool |
* [[https://yawlfoundation.github.io/|YAWL]]: Yet Another Workflow Language platform | * [[https://yawlfoundation.github.io/|YAWL]]: Yet Another Workflow Language platform |
* [[http://bimp.cs.ut.ee/|BIMP]]: Business Process Simulator | * [[http://bimp.cs.ut.ee/|BIMP]]: Business Process Simulator |
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---- | ---- |
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==== Oral Exams: schedule ==== | |
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^ Date ^^ Time ^ Name ^ Place ^ | |
| **//day//** | **//date//** | //time// | session start | Microsoft Teams | | |
| | **//date//** | | //name// | Project: //Pending/Approved// | | |
| | | //time// | session end | | | |
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-- | |
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* **How do we register for the exam?** //As usual, you must enter your choice on the [[https://esami.unipi.it/esami/|ESAMI]] portal.// | * **How do we register for the exam?** //As usual, you must enter your choice on the [[https://esami.unipi.it/esami/|ESAMI]] portal.// |
* **What are the dates of the exam?** //THE DATES ADVERTISED IN THE ESAMI PORTAL ARE NOT NECESSARILY THOSE OF THE ACTUAL EXAM. After you register for the exam, on the basis of the projects received and any other constraint communicated by each student, the teacher will post a tentative schedule on this web page and will inform you by email or on Teams.// | * **What are the dates of the exam?** //THE DATES ADVERTISED IN THE ESAMI PORTAL ARE NOT NECESSARILY THOSE OF THE ACTUAL EXAM. After you register for the exam, on the basis of the projects received and any other constraint communicated by each student, the teacher will post a tentative schedule on this web page and will inform you by email or on Teams.// |
* **How is the exam organized?** //The exam is oral and it is organised in two parts: the first part will focus on the project discussion, the second part will involve all topics covered by the course. Due to the current pandemic situation, all exams will take place remotely, via the Microsoft Teams platform.// | * **How is the exam organized?** //The exam is oral and it is organised in two parts: the first part will focus on the project discussion, the second part will involve all topics covered by the course.// |
* **How is the project discussion organized?** //ALL GROUP MEMBERS MUST BE PRESENT TO THE PROJECT DISCUSSION. All group members must demonstrate they have participated to all the activites of the project. A negative evaluation of the project may require to rework some parts, submit a revised report and schedule a new exam (possibly at the next exam session). A positive evaluation of the project allows each group member to access the second part of the exam.// | * **How is the project discussion organized?** //ALL GROUP MEMBERS MUST BE PRESENT TO THE PROJECT DISCUSSION. All group members must demonstrate they have participated to all the activites of the project. A negative evaluation of the project may require to rework some parts, submit a revised report and schedule a new exam (possibly at the next exam session). A positive evaluation of the project allows each group member to access the second part of the exam.// |
* **How is the second part of the exam organized?** //DIFFERENT GROUP MEMBERS CAN ASK TO SCHEDULE THE SECOND PART OF THE EXAM ON DIFFERENT DAYS. Questions may involve (but are not limited to): most relevant concepts, definitions, terminology and techniques; their intuitive meaning and formalization; proof sketches of formal statements; small-sized exercises. Arguments marked as optional in the lectures table below can be discussed upon student request.// | * **How is the second part of the exam organized?** //DIFFERENT GROUP MEMBERS CAN ASK TO SCHEDULE THE SECOND PART OF THE EXAM ON DIFFERENT DAYS. Questions may involve (but are not limited to): most relevant concepts, definitions, terminology and techniques; their intuitive meaning and formalization; proof sketches of formal statements; small-sized exercises. Arguments marked as optional in the lectures table below can be discussed upon student request.// |
==== Announcements ==== | ==== Announcements ==== |
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* **as the course starts**:\\ Please spend a few minutes to fill the form [[https://forms.office.com/Pages/ResponsePage.aspx?id=MWtFxyCi9Ue-Ukc4KGcKoaIp00F3tFROvaR9GeCNcHhUQlRWVDk4WVQxTFcwMFpJSUNZVjNRRUpBSCQlQCN0PWcu|Background Check]] that will be helpful to tune the pace and content of the course. | * **As the course starts**:\\ Each student must subscribe the [[https://teams.microsoft.com/l/team/19%3Azto2eFj4PLSjCg5zdWWdvStfVb-XOYSoLPQAPA-hQIk1%40thread.tacv2/conversations?groupId=da00da6d-78f7-40c7-963b-6bebe0a3078c&tenantId=c7456b31-a220-47f5-be52-473828670aa1|Microsoft Teams channel]] of the course.\\ Then, please spend a few minutes to fill the form [[https://forms.office.com/e/pUBCaXA1Tg|Background Check]] that will be helpful to tune the pace and content of the course. |
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---- | ---- |
==== Lectures (first half) ==== | ==== Lectures (first half) ==== |
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[[https://teams.microsoft.com/l/team/19%3ad57NtDs_DLS6tp-qMKF90Gp1hy23GMwD1-ZqQ2k9D981%40thread.tacv2/conversations?groupId=41d329a2-b477-4e54-bda4-7d19e08d7078&tenantId=c7456b31-a220-47f5-be52-473828670aa1|Virtual classroom]]: To join a lecture enter the virtual classroom, go to the Calendar tab and click on the scheduled lecture. | [[https://teams.microsoft.com/l/team/19%3Azto2eFj4PLSjCg5zdWWdvStfVb-XOYSoLPQAPA-hQIk1%40thread.tacv2/conversations?groupId=da00da6d-78f7-40c7-963b-6bebe0a3078c&tenantId=c7456b31-a220-47f5-be52-473828670aa1|Microsoft Teams]]: Additional material is available on Teams. |
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^ N ^ Date ^ Time ^ Room ^ Lecture notes ^ Topics ^ Links ^ | ^ N ^ Date ^ Time ^ Room ^ Lecture notes ^ Topics ^ Links ^ |
| 1 | Wed 15/09 | 16:00-18:00 | C1 - Teams | {{ :magistraleinformaticaeconomia:mpb:01-introduction-2021.pdf |Lecture 1}} | Course introduction:\\ //course objectives, textbooks, BPM aim and motivation, models and abstraction// | | | | 1 | 17/09 | 14:00-16:00 | L1 | Lecture 1 | Course introduction:\\ //course objectives, textbooks, BPM aim and motivation, models and abstraction// | | |
| 2 | Thu 16/09 | 16:00-18:00 | M1 - Teams | {{ :magistraleinformaticaeconomia:mpb:02-business-processes-2021.pdf |Lecture 2}} | Introduction to Business Processes:\\ //Taylorism, work units, processes, terminology, organizational structures, process orientation and reengineering, visual notations// | | | | 2 | 19/09 | 09:00-1:00 | L1 | Lecture 2 | | | |
| 3 | Wed 22/09 | 16:00-18:00 | C1 - Teams | Exercises\\ {{ :magistraleinformaticaeconomia:mpb:03-examples-2021.pdf |Lecture 3}} (1st part) | Exercises:\\ //Alice-Bob car selling scenario//\\ \\ Examples:\\ //Orchestration diagrams// | | | |
| 4 | Thu 23/09 | 16:00-18:00 | M1 - Teams | Exercises\\ Lecture 3 (2nd part) | Examples and Exercises\\ \\ Examples:\\ //Collaboration diagrams, choreography diagrams// | | | |
| 5 | Wed 22/09 | 16:00-18:00 | C1 - Teams | {{ :magistraleinformaticaeconomia:mpb:04-models-2021.pdf |Lecture 4}}\\ {{ :magistraleinformaticaeconomia:mpb:05-lifecycle-2021.pdf |Lecture 5}} | Business Process Modelling Abstractions:\\ //Separation of concerns, horizontal abstraction, aggregation abstraction, vertical abstraction//\\ \\ Business Processes Lifecyle:\\ //design and analysis, configuration, enactment, evaluation, administration and stakeholders// | | |
| 6 | Thu 23/09 | 16:00-18:00 | M1 - Teams | {{ :magistraleinformaticaeconomia:mpb:06-methodology-2021.pdf |Lecture 6}} | Business Process Methodology:\\ //levels of business processes, business strategies, operational goals, organizational BP, operational BP, implemented BP, design guidelines, from business functions to processes, separation of concerns, sw architectures, individual enterprise applications, enterprise resource planning system, siloed enterprise applications, enterprise application integration, message-oriented middleware, enterprise service computing// | | | |
| - | | | | | Contents under restructuring | | | |
| 9 | | | Teams | Lecture 7 (1st part) | Mathematical background:\\ //Sets, functions, relations, predicate logic, induction, recursion//\\ \\ Introduction to Petri nets:\\ //finite state automata// | | | |
| 10 | | | Teams | Exercises (from Lecture 7)\\ Lecture 7 (2nd part)\\ Lecture 8 (1st part) | Introduction to Petri nets:\\ //from automata to Petri nets//\\ \\ More concepts about Petri nets:\\ //multisets and markings// | | | |
| 11 | | | Teams | Woped basics\\ Lecture 8 (2nd part) | More concepts about Petri nets:\\ //multisets and markings,\\ transition enabling and firing, firing sequences,\\ reachable markings, occurrence graph// | [[http://woped.dhbw-karlsruhe.de/|Woped]] | | |
| 12 | | | Teams | Exercises (from Lecture 8) | Modelling with Petri nets:\\ //Examples and Exercises// | | | |
| 13 | | | Teams | Exercises (from Lecture 8)\\ Lecture 9 (1st part) | Modelling with Petri nets:\\ //Examples and Exercises//\\ \\ Behavioural properties:\\ //liveness// | | | |
| 14 | | | Teams | Lecture 9 (2nd part)\\ Exercises (from Lecture 9) | Behavioural properties:\\ //dead transitions, place liveness, dead places// | | | |
| 15 | | | Teams | Exercises (from Lecture 9)\\ Lecture 9 (3rd part) | Behavioural properties:\\ //deadlock freedom, boundedness, safeness, cyclicity//\\ \\ Structural properties:\\ //weak and strong connectedness,\\ S-systems, T-systems, free-choice nets// | | | |
| 16 | | | Teams | Exercises (from Lecture 9)\\ Lecture 10 (1st part) | Nets as matrices:\\ //markings as vectors// | | | |
| 17 | | | Teams | Lecture 10 (2nd part) | Nets as matrices:\\ //incidence matrices, Parikh vectors,\\ marking equation lemma, monotonicity lemma,\\ boundedness lemma, repetition lemma// | | | |
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==== Lectures (second half) ==== | ==== Lectures (second half) ==== |
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[[https://teams.microsoft.com/l/team/19%3ad57NtDs_DLS6tp-qMKF90Gp1hy23GMwD1-ZqQ2k9D981%40thread.tacv2/conversations?groupId=41d329a2-b477-4e54-bda4-7d19e08d7078&tenantId=c7456b31-a220-47f5-be52-473828670aa1|Virtual classroom]]: To join a lecture enter the virtual classroom, go to the Calendar tab and click on the scheduled lecture. | [[https://teams.microsoft.com/l/team/19%3Azto2eFj4PLSjCg5zdWWdvStfVb-XOYSoLPQAPA-hQIk1%40thread.tacv2/conversations?groupId=da00da6d-78f7-40c7-963b-6bebe0a3078c&tenantId=c7456b31-a220-47f5-be52-473828670aa1|Microsoft Teams]]: Additional material is available on Teams. |
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^ N ^ Date ^ Time ^ Room ^ Lecture notes ^ Topics ^ Links ^ | ^ N ^ Date ^ Time ^ Room ^ Lecture notes ^ Topics ^ Links ^ |
| 18 | | | Teams | Exercises (from Lecture 10)\\ Lecture 11 (1st part) | Invariants:\\ //S-invariants, fundamental property of S-invariants,\\ alternative characterization of S-invariant,\\ support, positive S-invariants,\\ about boundedness, reachability and liveness// | | | | 13 | ... | ... | L1 | | | | |
| 19 | | | Teams | Lecture 11 (2nd part)\\ Exercises (from Lecture 11)\\ Lecture 12 | Invariants:\\ //T-invariants, fundamental property of T-invariants,\\ alternative characterization of T-invariants,\\ reproduction lemma,\\ about liveness and boundedness//\\ \\ On strong connectedness:\\ //connectedness theorems// | | | | 14 | ... | ... | L1 | | | | |
| 20 | | | Teams | Lecture 13\\ Exercises (from Lecture 13)\\ Lecture 14 (1st part) | Workflow nets:\\ //definition, syntax sugar, subprocesses,\\ control flow aspects, triggers//\\ \\ Analysis of workflow nets:\\ //structural analysis, activity analysis,\\ token analysis, net analysis, verification and validation,\\ reachability analysis, coverability graph// | [[http://woped.dhbw-karlsruhe.de/|Woped]] | | |
| 21 | | | Teams | Lecture 14 (2nd part)\\ Exercises (from Lecture 14)\\ Lecture 15\\ Lecture 16 (1st part) | Analysis of workflow nets:\\ //soundness, N*, strong connectedness of N*,\\ main soundness theorem//\\ \\ Safe Workflow nets:\\ //soundness (and safeness) by construction//\\ \\ S-systems:\\ //fundamental property of S-systems,\\ S-invariants of S-nets// | | | |
| 22 | | | Teams | More Exercises (from Lecture 14)\\ Exercises (from Lecture 15)\\ Lecture 16 (2nd part)\\ Lecture 17\\ Lecture 18 (1st part) | S-systems:\\ //liveness theorem, reachability lemma,\\ reachability theorem, boundedness theorem,\\ workflow S-nets//\\ \\ T-systems:\\ //circuits and token count on a circuit,\\ fundamental property of T-systems,\\ T-invariants of T-nets,\\ boundedness in strongly connected T-systems,\\ liveness theorem for T-systems,\\ workflow T-nets//\\ \\ Free-choice nets:\\ //Fundamental property of free-choice nets\\ clusters, stable sets, siphons, proper siphons,\\ fundamental property of siphons,\\ siphons and liveness, Rank theorem// | | | |
| 23 | | | Teams | Exercises (from Lecture 16)\\ Exercises (from Lecture 17)\\ Exercises (from Lecture 18)\\ A note on P and NP (optional reading)\\ Lecture 18 (2nd part)\\ Lecture 19 | Decision problems and computational complexity (optional reading)\\ \\ Free-choice nets:\\ //traps (optional reading),\\ place-liveness = liveness in f.c. nets (optional reading),\\ Commoner's theorem and its complexity issues,\\ Rank theorem and its complexity issues,\\ sound f.c wf nets are safe//\\ \\ Diagnosis of Workflow nets:\\ //Woped, S-components, S-cover,\\ T-cover (optional reading),\\ TP-handles, PT-handles,\\ well-handled nets, well-structured wf nets,\\ Woflan, ProM, error sequences,\\ non-live sequences, unbounded sequences// | [[http://woped.dhbw-karlsruhe.de/|Woped]]\\ [[http://www.win.tue.nl/woflan/|Woflan]]\\ [[http://www.processmining.org/prom/start|ProM]] | | |
| 24 | | | Teams | Exercises (from Lecture 19)\\ Lecture 20\\ Lecture 21 | Workflow systems:\\ //I/O interfaces, workflow modules,\\ stuctural compatibility, workflow system,\\ weak soundness//\\ \\ EPC:\\ //Events, functions, connectors,\\ EPC diagrams, guidelines,\\ soundness analysis, from EPC to wf nets,\\ net fragments, dummy style, fusion style,\\ unique start, unique end,\\ three transformations, semantics ambiguities,\\ relaxed sound nets (optional),\\ relaxed sound EPC diagrams (optional),\\ from restricted EPC diagrams to f.c. nets,\\ problems with (X)OR joins, candidate split,\\ corresponding split, matching split,\\ OR join policies (wfa, fc, et),\\ from decorated EPC diagrams to nets// | [[https://online.visual-paradigm.com/diagrams/features/epc-diagram-tool/|VP]]\\ [[http://www.yworks.com/en/products_yed_about.html|yEd]] | | |
| 25 | | | Teams | Exercises (from Lecture 20)\\ Exercises (from Lecture 21)\\ Lecture 22\\ Exercises (from Lecture 22)\\ A final note (with project instructions) | BPMN:\\ //Notation, swimlanes, flow objects,\\ artefacts, connecting objects,\\ collaborations, choreographies,\\ from BPMN to nets// | [[http://bpmn.sourceforge.net/|Yaoqiang]]\\ [[http://bpmn.io/|BPMN.io]]\\ [[http://www.intalio.com/products/bpms/overview/|BPMS]]\\ [[http://www.bizagi.com/index.php/en/products/bizagi-process-modeler|Bizagi]]\\ [[https://online.visual-paradigm.com/diagrams|VP]]\\ [[http://www.processmining.org/prom/start|ProM]] | | |
| end | | | | | | | | |
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==== Exam sessions ==== | |
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^ Date ^^ Time ^ Room ^ Info ^ | |
| //day// | //date// | //time// | Teams | Exam\\ [[https://esami.unipi.it/esami/|Exams registration system]]\\ The actual date of the oral exam will be agreed with the teacher | | |
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---- | |
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==== Past courses ==== | ==== Past courses ==== |
| |
| * [[magistraleinformaticaeconomia:mpb:2024-25:|A.A. 2024/25]] |
| * [[magistraleinformaticaeconomia:mpb:2023-24:|A.A. 2023/24]] |
| * [[magistraleinformaticaeconomia:mpb:2022-23:|A.A. 2022/23]] |
| * [[magistraleinformaticaeconomia:mpb:2021-22:|A.A. 2021/22]] |
* [[magistraleinformaticaeconomia:mpb:2020-21:|A.A. 2020/21]] | * [[magistraleinformaticaeconomia:mpb:2020-21:|A.A. 2020/21]] |
* [[magistraleinformaticaeconomia:mpb:2019-20:|A.A. 2019/20]] | * [[magistraleinformaticaeconomia:mpb:2019-20:|A.A. 2019/20]] |