From 27092669a19ec74af0e154f29115c7da3806a09c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind?= Date: Tue, 4 May 2021 13:40:12 +0200 Subject: [PATCH 1/8] =?UTF-8?q?Started=20v=C3=A5r=202021?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _data/ntnu-courses.yml | 4 ++++ ntnu/21v/ttk4145/ttk4145.md | 13 +++++++++++++ 2 files changed, 17 insertions(+) create mode 100644 ntnu/21v/ttk4145/ttk4145.md diff --git a/_data/ntnu-courses.yml b/_data/ntnu-courses.yml index d3c1959..91c39f0 100644 --- a/_data/ntnu-courses.yml +++ b/_data/ntnu-courses.yml @@ -11,6 +11,10 @@ course: tfe4130 desc: Bølgeforplantning, våren 2021. updated: 2021-01-12 + - + course: ttk4145 + desc: Sanntidsprogrammering, våren 2021. + updated: 2021-05-04 # Høsten 2020 - diff --git a/ntnu/21v/ttk4145/ttk4145.md b/ntnu/21v/ttk4145/ttk4145.md new file mode 100644 index 0000000..48cd945 --- /dev/null +++ b/ntnu/21v/ttk4145/ttk4145.md @@ -0,0 +1,13 @@ +--- +layout: layouts/list +title: "TTK4145" +description: "Sanntidsprogrammering" +--- + +## Oppsummering + +## Prosjekt + +## Øvinger + + From 749c2a4e16e07f22fa6c42c95d0391197b8f9a64 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind?= Date: Tue, 4 May 2021 22:24:30 +0200 Subject: [PATCH 2/8] Wrap up of day 1 in exam period spring 2021 --- _data/ntnu-courses.yml | 4 + .../ttk4145/summary/figures/fault-path.svg | 3 + .../summary/figures/fault-tolarance.svg | 3 + ntnu/21v/ttk4145/summary/summary.md | 110 ++++++++++++++++++ ntnu/21v/ttk4145/ttk4145.md | 2 + 5 files changed, 122 insertions(+) create mode 100644 ntnu/21v/ttk4145/summary/figures/fault-path.svg create mode 100644 ntnu/21v/ttk4145/summary/figures/fault-tolarance.svg create mode 100644 ntnu/21v/ttk4145/summary/summary.md diff --git a/_data/ntnu-courses.yml b/_data/ntnu-courses.yml index 91c39f0..400af56 100644 --- a/_data/ntnu-courses.yml +++ b/_data/ntnu-courses.yml @@ -15,6 +15,10 @@ course: ttk4145 desc: Sanntidsprogrammering, våren 2021. updated: 2021-05-04 + - + course: tiø4252 + desc: Teknologiledelse, våren 2021. + updated: 2021-05-04 # Høsten 2020 - diff --git a/ntnu/21v/ttk4145/summary/figures/fault-path.svg b/ntnu/21v/ttk4145/summary/figures/fault-path.svg new file mode 100644 index 0000000..dbdb06e --- /dev/null +++ b/ntnu/21v/ttk4145/summary/figures/fault-path.svg @@ -0,0 +1,3 @@ + + +
Fault
Fault
Error
Error
Failure
Failure
"The bug"
"The bug"
"The event"
What happened
"The event"...
The system failed to behave according to specification
The system fail...
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Fault tolerance
Fault tolerance
Fault prevention
Fault prevention
Avoidance
Avoidance
Removal
Removal
"Metodologies"
"How we work with the code"
"Metodologies"...
Testing
Code inspection
Testing...
Preventing Failures
Preventing Failu...
Preventing errors becoming failures
Preventing errors becoming...
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\ No newline at end of file diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md new file mode 100644 index 0000000..91fa2d1 --- /dev/null +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -0,0 +1,110 @@ +--- +title: "Oppsumering av TTK4145" +description: "Lot of theory and discussion, some fomulas, spring 2021." +date: 2021-05-04 +math: true +--- + +## Fault tolerance + +Hard to capture faults. + + +### Bugs + +* 1 bug per 50 lines before testing +* 1 bug per 500 at release +* 1 bug per 550 after a year, the constant + +1. Make the program work within specs. +2. Run/Tests of the program- +3. Errors happen +4. Locate errors + * Incomplete spec + * Missing handleling of som situation +5. Fix code + +### Traditional error handeling + +{% highlight c %} +FILE * +openConfigFile(){ + FILE * f = fopen("/path/to/config.conf"); + if (f == NULL) { + switch(errno){ + case ENOMEM: { + ... + break; + } + case ENOTDIR: { + ... + break; + } + // Do this for all errors + } + } +} +{% endhighlight %} + +### Causes of errors + +* Incomplete specification +* Software bugs +* HW problems +* Communication problems + +### Fault tolerance in real time systems + +The problem with traditional errorhandleing is that errors can happen at any possible time. +This is extremely hard to test. + +This is some of the error handling real time programming have. + +* Handling of unexpected errors +* More threads hanles errors +* Can not test the conventional way + * Can only show extistence of errors + * Can not find errors in specification + * Can not find race conditions + +The fault path is shown under. + +![Fault tolerance](figures/fault-path.svg) + +With fault tolerance the path looks something more like the figure under. + +![Fault tolerance](figures/fault-tolarance.svg) + +### Error handling + +Keep it simple! + +The error modes is a part of the module interface. + +One way is to handle all errors the same way. +Handle the as if it was the worst error. +Crash and start again. + +A different approach is to check that everything is OK. + +To test how the systems responds for a unknown error is to insert a failed acceptance test (a not OK signal). + +### Redundancy + +* If I have $N$ copies of my data, it is possible to handle that one is destroyed. +* Sending $N$ messages, trying $N$ times. + +**Static redundancy** + +* $N$ active copies. Sending $N$ messages if it is necessary or not. +* Detecting errors is not important. +* Handles cosmic rays easily. + +**Dynammic redunancy** + +* Relies on detecting the error and recovering + * Resend if timeout and not receiving "ack" + * Go with default if no messages have been received +* The acceptancetest must be good. + + \ No newline at end of file diff --git a/ntnu/21v/ttk4145/ttk4145.md b/ntnu/21v/ttk4145/ttk4145.md index 48cd945..602fa78 100644 --- a/ntnu/21v/ttk4145/ttk4145.md +++ b/ntnu/21v/ttk4145/ttk4145.md @@ -6,6 +6,8 @@ description: "Sanntidsprogrammering" ## Oppsummering +[Oppsummering](summary/) av faget TTK4145. + ## Prosjekt ## Øvinger From f2542ecc1a6ec424146cd7243fd759a8a5413c54 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind=20Skaaden?= Date: Wed, 5 May 2021 13:56:04 +0200 Subject: [PATCH 3/8] Finish wideo 04 --- ntnu/21v/ttk4145/summary/summary.md | 50 ++++++++++++++++++++++++++++- 1 file changed, 49 insertions(+), 1 deletion(-) diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md index 91fa2d1..f19c7a2 100644 --- a/ntnu/21v/ttk4145/summary/summary.md +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -107,4 +107,52 @@ To test how the systems responds for a unknown error is to insert a failed accep * Go with default if no messages have been received * The acceptancetest must be good. - \ No newline at end of file + +### Fault model + +#### Example with storage functions. + +**Step 1: Failure modes** + +Find the failure modes: What could go wrong? + +* **Write**: May return "I failed". Does not know why it faield +* **Read**: May return "I failed". Does not know why it failed. + +**Step 2: Detect, Simplify, Inject errors** + +* Write information on where/what/how the process is doing. +* All errors --> Fail +* Inject errors + +**Step 3: Handling with redundancy** + +* Have multiple copies of the the information + * Use only the newest + +#### Example with communication function + +**Step 1: Failure modes** + +* Message + * Lost + * Delayed + * Corrupted + * DUplicated + * Wrong recipient + +**Step 2: Detection, Merging of errormodes and error injection** + +* Adding information to message + * Checksum + * Session ID + * Sequence number +* Adding "ack" on well recieved messages +* All errors will be treaded as "Lost message" +* Injection + * Occasionally throw away some messages + +**Step 3: Handling with redundancy** + +* Timeout +* Retransmit message \ No newline at end of file From 008c3a1af7ee909a5f0d2671efd556d94045b10d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind=20Skaaden?= Date: Wed, 5 May 2021 20:40:26 +0200 Subject: [PATCH 4/8] Finish day 2 --- ntnu/21v/ttk4145/summary/summary.md | 33 ++++++++++++++++++++++++++++- 1 file changed, 32 insertions(+), 1 deletion(-) diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md index f19c7a2..3ca64fc 100644 --- a/ntnu/21v/ttk4145/summary/summary.md +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -155,4 +155,35 @@ Find the failure modes: What could go wrong? **Step 3: Handling with redundancy** * Timeout -* Retransmit message \ No newline at end of file +* Retransmit message + +#### Example with processes and caculations + +A calculation is an abstract, so how can we talk generally about the failure modes. + +**Step 1: Failure modes** + +One failure mode + +**Step 2: Detect, simplify, inject errors** + +All failed acceptance tests will "PANIC" or "STOP". + +**Step 3: Handling with redundancy** + +There are three solutions: + +1. Checkpoint restart + * Do all the work incuding the acceptance test + * Wait with the "side effects" + * Store a checkpoint + * Do the "side effects" +2. Process pairs + * Crash and let an another process take over +3. Presistent processes + + +## Transactions + +A transaction is a design framework for Damage Confinement and Error Recovery. + From 56bd12e6e17bba7bc3994e6abb53bda383cf0238 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind?= Date: Sat, 8 May 2021 17:26:40 +0200 Subject: [PATCH 5/8] finish day 3 --- _includes/utils/scripts.html | 3 ++- ntnu/21v/ttk4145/summary/summary.md | 13 ++++++++++++- 2 files changed, 14 insertions(+), 2 deletions(-) diff --git a/_includes/utils/scripts.html b/_includes/utils/scripts.html index 8a49cb8..1ca6327 100644 --- a/_includes/utils/scripts.html +++ b/_includes/utils/scripts.html @@ -2,6 +2,7 @@ + \ No newline at end of file + diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md index 3ca64fc..efd1679 100644 --- a/ntnu/21v/ttk4145/summary/summary.md +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -138,7 +138,7 @@ Find the failure modes: What could go wrong? * Lost * Delayed * Corrupted - * DUplicated + * Duplicated * Wrong recipient **Step 2: Detection, Merging of errormodes and error injection** @@ -187,3 +187,14 @@ There are three solutions: A transaction is a design framework for Damage Confinement and Error Recovery. +* An *atomic action*, just without the backward recovery error mode as standard mode +* invincible and instantaneous "calculation" seen from the outside +* A transformation from one consistent state to another' +* A modular computation + +### Four features: ACID + +* **A**tomicity: Either all side effects happens or none +* **C**oncistency: Leaves the system in a consistent state when finished +* **I**solation: Errors does not spread +* **D**urability: Results are not lost From b6749b36d12ed6c252ff36f6a66dbba10805bbfe Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind=20Skaaden?= Date: Mon, 10 May 2021 18:30:58 +0200 Subject: [PATCH 6/8] Writeup of lecture 11 about preemptive schedudling --- ntnu/21v/ttk4145/summary/summary.md | 121 ++++++++++++++++++++++++++++ 1 file changed, 121 insertions(+) diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md index efd1679..8f5d2ea 100644 --- a/ntnu/21v/ttk4145/summary/summary.md +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -198,3 +198,124 @@ A transaction is a design framework for Damage Confinement and Error Recovery. * **C**oncistency: Leaves the system in a consistent state when finished * **I**solation: Errors does not spread * **D**urability: Results are not lost + +### Atomic Actions + +**Resumption vs. Termination mode** +* If we continue where we were (e.g. after the interrupt) --> *Resumption* +* If we continue somewhere else (i.e. terminating what we where doing) --> Termination + +**Async Notification (AN) = Low level thread interaction** +* Async event handling. ("Signals") (resumption) + * Modeled after a HW interrupt + * Can be sent to the correct thread + * Can be handled, ignored, blocked --> The domain can be controlled. + * Often lead to polling + * Could rather skip the signal and poll a status variable or a message queue + * Useless +* ATC --> Async transfer of Control (termination) + * Canceling threads + * setjmpt/longjmp could convert signals to ATC (not really, but still) + * ADA: a strictured mechanism for ATV is integraded with the selected statement + * RT Java: A structured mechanism for ATC is integraded with the exception-handling mechanism + +#### Cancelling threads + +**Yes, killing threads is ATC!** + +* Can make termination model by letting domain be a thread + * "Create a `doWork` thread, and kill it if the action fails" +* Ca still control domain by disabling "cancelstate" + +**But, but, but: It leaves ut in undifined state!?** +* Not if we have... + * Full control over changed state (like logs or recovery points) or some other way of recovering well. + * A lock manager that can unlock on behalf of killed thread + * Some control of where we were killed (like nok in the middle of a lock manager or log call) +* An this is what we have! + + +## Shared variable synchronization + +### Non-Preemptive scheduling + +Controlling a pump filling a tank. + +**Spec:** +* Every second: measure the water level of the tank and generate the reference to the pump +* 10 times a second: Set the power of the pump motor +* Do some GUI: let the human control the process + +#### A trivial solution: "Cyclic Exectutive" + +{% highlight c %} +oldTime = now(); +i = 0; +while(true) { + i = i + 1; + if (i % 10 == 0) { + i = 0; + calculatePumpReference(); + } + controlPump(); + do { + handleUserEvent(); + } while(now() < oldTime + 0.1); + oldTime = oldTime + 0.1; +} +{% endhighlight %} + +**Drawbacks** + +* OK tasks? +* Timing hard to tune (what if pump sampling should be $\pi$/10?) +* Overload (what if `calucaltePumpReference` uses more than 1/10 seconds?) +* How to add new tasks? (Everything is coupled) +* Waste of time in the do-loop? +* What is priority of `handleUserEvents`? +* How are erros, exceptions, alarms etc. handled? + +#### Better soulution with Non-preemptive scheduler + +* *3 taskts* administered by a scheduler +* The scheduler takes care of who runs and timing +* Scheduler often inculuded in OSes +* Introducing priorities + +{% highlight c %} +/** + * scheduler_registerThread(function, time, priority) + * Higher priority numer means higher priority in scheduler + */ +main() { + scheduler_registrerThread(controlPump, 0.1, 3); + scheduler_registrerThread(calculatePumpReference, 1, 2); + scheduler_registrerThread(handleUserEvents, 0.2, 1); + scheduler_mainLoop(); +} +{% endhighlight %} + +**Some notes on priorities** +* Priority is generally not important; rather, the main rule is to give higher priority to shorter-deadline tasks. + * This allows tasks to reach its deadlines. +* ... but this is not always the case - if e.g. the tasks are cooperating +* We still handle overload badly +* And: What connection between deadline and priority to start with? + * Is this a good dependency seen from a code quality perspective? + +### Pros and cons of nonpreemptive scheduling + +| **Pros** | **Cons** | +| :--------------------------------------------- | :------------------------------------------------------------------------- | +| Simple, intuitive, predictable | C macro hell | +| No kernel | Threads must cooperate <-- a form of dependency breaking module boundaries | +| Fast switching times | Heavy threads must be divided | +| Some elegant sunchronization patterns possible | Can we handle blocking of library functions? | +| | Unrobust to errors | +| | Unrobust to (heavy) error handling | +| | Hard to tune at end of project | +{: .table-responsive-lg .table } + + + + From a0c0091bde5a3727cf481e5bc0b5bcd0507412fa Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind=20Skaaden?= Date: Mon, 10 May 2021 22:33:57 +0200 Subject: [PATCH 7/8] Finish monday --- ntnu/21v/ttk4145/summary/summary.md | 133 ++++++++++++++++++++-------- 1 file changed, 94 insertions(+), 39 deletions(-) diff --git a/ntnu/21v/ttk4145/summary/summary.md b/ntnu/21v/ttk4145/summary/summary.md index 8f5d2ea..e67e7e0 100644 --- a/ntnu/21v/ttk4145/summary/summary.md +++ b/ntnu/21v/ttk4145/summary/summary.md @@ -63,9 +63,9 @@ This is some of the error handling real time programming have. * Handling of unexpected errors * More threads hanles errors * Can not test the conventional way - * Can only show extistence of errors - * Can not find errors in specification - * Can not find race conditions + * Can only show extistence of errors + * Can not find errors in specification + * Can not find race conditions The fault path is shown under. @@ -103,8 +103,8 @@ To test how the systems responds for a unknown error is to insert a failed accep **Dynammic redunancy** * Relies on detecting the error and recovering - * Resend if timeout and not receiving "ack" - * Go with default if no messages have been received + * Resend if timeout and not receiving "ack" + * Go with default if no messages have been received * The acceptancetest must be good. @@ -128,29 +128,29 @@ Find the failure modes: What could go wrong? **Step 3: Handling with redundancy** * Have multiple copies of the the information - * Use only the newest + * Use only the newest #### Example with communication function **Step 1: Failure modes** * Message - * Lost - * Delayed - * Corrupted - * Duplicated - * Wrong recipient + * Lost + * Delayed + * Corrupted + * Duplicated + * Wrong recipient **Step 2: Detection, Merging of errormodes and error injection** * Adding information to message - * Checksum - * Session ID - * Sequence number + * Checksum + * Session ID + * Sequence number * Adding "ack" on well recieved messages * All errors will be treaded as "Lost message" * Injection - * Occasionally throw away some messages + * Occasionally throw away some messages **Step 3: Handling with redundancy** @@ -179,7 +179,7 @@ There are three solutions: * Store a checkpoint * Do the "side effects" 2. Process pairs - * Crash and let an another process take over + * Crash and let an another process take over 3. Presistent processes @@ -207,31 +207,31 @@ A transaction is a design framework for Damage Confinement and Error Recovery. **Async Notification (AN) = Low level thread interaction** * Async event handling. ("Signals") (resumption) - * Modeled after a HW interrupt - * Can be sent to the correct thread - * Can be handled, ignored, blocked --> The domain can be controlled. - * Often lead to polling - * Could rather skip the signal and poll a status variable or a message queue - * Useless + * Modeled after a HW interrupt + * Can be sent to the correct thread + * Can be handled, ignored, blocked --> The domain can be controlled. + * Often lead to polling + * Could rather skip the signal and poll a status variable or a message queue + * Useless * ATC --> Async transfer of Control (termination) - * Canceling threads - * setjmpt/longjmp could convert signals to ATC (not really, but still) - * ADA: a strictured mechanism for ATV is integraded with the selected statement - * RT Java: A structured mechanism for ATC is integraded with the exception-handling mechanism + * Canceling threads + * setjmpt/longjmp could convert signals to ATC (not really, but still) + * ADA: a strictured mechanism for ATV is integraded with the selected statement + * RT Java: A structured mechanism for ATC is integraded with the exception-handling mechanism #### Cancelling threads **Yes, killing threads is ATC!** * Can make termination model by letting domain be a thread - * "Create a `doWork` thread, and kill it if the action fails" + * "Create a `doWork` thread, and kill it if the action fails" * Ca still control domain by disabling "cancelstate" **But, but, but: It leaves ut in undifined state!?** * Not if we have... - * Full control over changed state (like logs or recovery points) or some other way of recovering well. - * A lock manager that can unlock on behalf of killed thread - * Some control of where we were killed (like nok in the middle of a lock manager or log call) + * Full control over changed state (like logs or recovery points) or some other way of recovering well. + * A lock manager that can unlock on behalf of killed thread + * Some control of where we were killed (like nok in the middle of a lock manager or log call) * An this is what we have! @@ -284,24 +284,24 @@ while(true) { {% highlight c %} /** - * scheduler_registerThread(function, time, priority) - * Higher priority numer means higher priority in scheduler - */ + * scheduler_registerThread(function, time, priority) + * Higher priority numer means higher priority in scheduler + */ main() { - scheduler_registrerThread(controlPump, 0.1, 3); - scheduler_registrerThread(calculatePumpReference, 1, 2); - scheduler_registrerThread(handleUserEvents, 0.2, 1); - scheduler_mainLoop(); + scheduler_registrerThread(controlPump, 0.1, 3); + scheduler_registrerThread(calculatePumpReference, 1, 2); + scheduler_registrerThread(handleUserEvents, 0.2, 1); + scheduler_mainLoop(); } {% endhighlight %} **Some notes on priorities** * Priority is generally not important; rather, the main rule is to give higher priority to shorter-deadline tasks. - * This allows tasks to reach its deadlines. + * This allows tasks to reach its deadlines. * ... but this is not always the case - if e.g. the tasks are cooperating * We still handle overload badly * And: What connection between deadline and priority to start with? - * Is this a good dependency seen from a code quality perspective? + * Is this a good dependency seen from a code quality perspective? ### Pros and cons of nonpreemptive scheduling @@ -318,4 +318,59 @@ main() { +### Preemptive Kernel + +* Preemption, thread objects and the timer interrupt +* Enabling synchronization: Busy waiting, tes-and-set, disabling the timer interrupt +* Blocking and suspend & resume +* An API for synchronization? Semaphores! + + +#### Preemption + +* Make a handler for a timer interrupt +* Store all registers (including IP & SP) in a "thread object" +* Organize queue of processes (Round Robin e.g. - a collection of thread objects?) +* Can synchronize by: while(!ready); (busy wating, "spin locks") + +**Bad solution** + +{% highlight c%} +while(lock==1) {} +lock = 1; + // We may run +lock = 0; +{% endhighlight %} + +**Better solution** + +{% highlight c%} +void t1() { + flag1 = 1; // Declare my intention + turn = 2; // But try to be polite + while(flag2 == 1 && turn == 2) {} + // We may run + flag1 = 0; +} +{% endhighlight %} + +##### Looking more closely at the arsenal + +**How can we make basic synchronization under preemption?** + +* Spin locks (wasting time and cpu) +* Test&Set (swap) assembly instruction (atomic, but not obvious) +* Disable interrupt (steals control from OS/scheduler) + +**But** +* If we disable the timer interrupt we don not have preemption any more +* And... Are these good abstractions in the application programmer domain? + +#### Blocked threads + +**Let us introduce another queue; the collection of threads not running, waiting for something** + +* Fixes the bad performance of spin locks. Is conceptually better. +* "Suspend" moves a thread object from "run" queue to "blocked" queue +* "Resume" moves it back. From 5dd2250844e929ad401c16c83dcab0a4e2f58ca7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind=20Skaaden?= Date: Thu, 13 May 2021 19:07:00 +0200 Subject: [PATCH 8/8] Fixed linting --- ntnu/21v/tiø4252/tiø4252.md | 63 +++++++++++++++++++++++++++++++++++ 1 file changed, 63 insertions(+) create mode 100644 ntnu/21v/tiø4252/tiø4252.md diff --git a/ntnu/21v/tiø4252/tiø4252.md b/ntnu/21v/tiø4252/tiø4252.md new file mode 100644 index 0000000..198113c --- /dev/null +++ b/ntnu/21v/tiø4252/tiø4252.md @@ -0,0 +1,63 @@ +--- +title: TIØ4252 +description: Teknologiledelse, våren 2021 +date: 2021-05-13 +--- + + +## Formelark + +Kommer straks. + +## Eksamen + +Alle filer er tilgjengelig på [git][git]. + +[git]: https://git.glados.no/oyvindskaaden/TIO4252 + +Kombinert løsningsforslag for alle eksamener finnes [her][LF_alle]. + +[LF_alle]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/LF.pdf + +| År | Eksamen | Oppgave | LF | +| :--- | :------ | :------------ | :------- | +| 2020 | Høst | [Oppgave][1] | [LF][2] | +| 2020 | Sommer | [Oppgave][3] | [LF][4] | +| 2020 | Vår | [Oppgave][5] | [LF][6] | +| 2019 | Høst | [Oppgave][7] | [LF][8] | +| 2019 | Sommer | [Oppgave][9] | [LF][10] | +| 2018 | Høst | [Oppgave][11] | [LF][12] | +| 2018 | Sommer | [Oppgave][13] | [LF][14] | +| 2018 | Vår | [Oppgave][15] | [LF][16] | +| 2017 | Høst | [Oppgave][17] | [LF][18] | +| 2017 | Vår | [Oppgave][19] | [LF][20] | +| 2014 | Sommer | [Oppgave][21] | [LF][22] | +| 2013 | Sommer | [Oppgave][23] | [LF][24] | +{: .table-responsive-lg .table } + +[1]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20H/Eksamen_20H.pdf +[2]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20H/Losning_20H.pdf +[3]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20S/Eksamen_20S.pdf +[4]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20S/Losning_20S.pdf +[5]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20V/Eksamen_20V.pdf +[6]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/20V/Losning_20V.pdf +[7]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/19H/Eksamen_19H.pdf +[8]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/19H/Losning_19H.pdf +[9]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/19S/Eksamen_19S.pdf +[10]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/19S/Losning_19S.pdf +[11]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18H/Eksamen_18H.pdf +[12]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18H/Losning_18H.pdf +[13]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18S/Eksamen_18S.pdf +[14]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18S/Losning_18S.pdf +[15]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18V/Eksamen_18V.pdf +[16]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/18V/Losning_18V.pdf +[17]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/17H/Eksamen_17H.pdf +[18]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/17H/Losning_17H.pdf +[19]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/17V/Eksamen_17V.pdf +[20]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/17V/Losning_17V.pdf +[21]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/14S/Eksamen_14S.pdf +[22]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/14S/Losning_14S.pdf +[23]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/13S/Eksamen_13S.pdf +[24]:https://git.glados.no/oyvindskaaden/TIO4252/raw/branch/main/eksamen/13S/Losning_13S.pdf + +