5 (0 3 200 3) (0 9 500 3) (0 20 500 3) (100 1 100 0) (100 100 500 3)
with
    5 (0 3 200 3) (0 9 500 3) (0 20 500 3) (100 1 100 3) (100 100 500 3)

3.2: Swapping

Moving entire processes between disk and memory is called swapping.

3.2.1: Multiprogramming with variable partitions

• Both the number and size of the partitions change with time.
• IBM OS/MVT (multiprogramming with a varying number of tasks).
• Also early PDP-10 OS.
• Job still has only one segment (as with MFT) but now can be of any size up to the size of the machine and can change with time.
• A single ready list.
• Job can move (might be swapped back in a different place).
• This is dynamic address translation (during run time).
• Must perform an addition on every memory reference (i.e. on every address translation) to add the start address of the partition.
• Called a DAT (dynamic address translation) box by IBM.
• Eliminates internal fragmentation.
  • Find a region the exact right size (leave a hole for the remainder).
  • Not quite true, can't get a piece with 10A755 bytes. Would get say 10A760. But internal fragmentation is much reduced compared to MFT. Indeed, we say that internal fragmentation has been eliminated.
• Introduces external fragmentation, i.e., holes outside any region.
• What do you do if no hole is big enough for the request?
  • Can compactify
    • Transition from bar 3 to bar 4 in diagram below.
    • This is expensive.
    • Not suitable for real time (MIT ping pong).
  • Can swap out one process to bring in another
    • Bars 5-6 and 6-7 in diagram

Homework: 4

• There are more processes than holes. Why?
  • Because next to a process there might be a process or a hole but next to a hole there must be a process
  • So can have ``runs'' of processes but not of holes
  • If after a process equally likely to have a process or a hole, you get about twice as many processes as holes.
• Base and limit registers are used.
  • Storage keys not good since compactifying would require changing many keys.
  • Storage keys might need a fine granularity to permit the boundaries move by small amounts. Hence many keys would need to be changed

MVT Introduces the ``Placement Question'', which hole (partition) to choose

• Best fit, worst fit, first fit, circular first fit, quick fit, Buddy
  • Best fit doesn't waste big holes, but does leave slivers and is expensive to run.
  • Worst fit avoids slivers, but eliminates all big holes so a big job will require compaction. Even more expensive than best fit (best fit stops if it finds a perfect fit).
  • Quick fit keeps lists of some common sizes (but has other problems, see Tanenbaum).
  • Buddy system
    • Round request to next highest power of two (causes internal fragmentation).
    • Look in list of blocks this size (as with quick fit).
    • If list empty, go higher and split into buddies.
    • When returning coalesce with buddy.
    • Do splitting and coalescing recursively, i.e. keep coalescing until can't and keep splitting until successful.
    • See Tanenbaum for more details (or an algorithms book).
• A current favorite is circular first fit (also know as next fit)
  • Use the first hole that is big enough (first fit) but start looking where you left off last time.
  • Doesn't waste time constantly trying to use small holes that have failed before, but does tend to use many of the big holes, which can be a problem.
• Buddy comes with its own implementation. How about the others?
  • Bit map
    • Only question is how much memory does one bit represent.
      • Big: Serious internal fragmentation
      • Small: Many bits to store and process
  • Linked list
    • Each item on list says whether Hole or Process, length, starting location
    • The items on the list are not taken from the memory to be used by processes
    • Keep in order of starting address
    • Double linked
  • Boundary tag
    • Knuth
    • Use the same memory for list items as for processes
    • Don't need an entry in linked list for blocks in use, just the avail blocks are linked
    • For the blocks currently in use, just need a hole/process bit at each end and the length. Keep this in the block itself.
    • See knuth, the art of computer programming vol 1

Homework: 2, 5.

MVT Also introduces the ``Replacement Question'', which victim to swap out

We will study this question more when we discuss demand paging.

Considerations in choosing a victim

• Cannot replace a job that is pinned, i.e. whose memory is tied down. For example, if Direct Memory Access (DMA) I/O is scheduled for this process, the job is pinned until the DMA is complete.
• Victim selection is a medium term scheduling decision
  • Job that has been in a wait state for a long time is a good candidate.
  • Often choose as a victim a job that has been in memory for a long time.
  • Another point is how long should it stay swapped out.
• For demand paging, where swaping out a page is not as drastic as swapping out a job, choosing the victim is an important memory management decision and we shall study several policies,

1. So far the schemes presented have had two properties:
   1. Each job is stored contiguously in memory. That is, the job is contiguous in physical addresses.
   2. Each job cannot use more memory than exists in the system. That is, the virtual addresses space cannot exceed the physical address space.
   
   
2. Tanenbaum now attacks the second item. I wish to do both and start with the first.br>
   
3. Tanenbaum (and most of the world) uses the term ``paging'' to mean what I call demand paging. This is unfortunate as it mixes together two concepts.
   1. Paging (dicing the address space) to solve the placement problem and essentially eliminate external fragmentation.
   2. Demand fetching, to permit the total memory requirements of all loaded jobs to exceed the size of physical memory.
   
   
4. Tanenbaum (and most of the world) uses the term virtual memory as a synonym for demand paging. Again I consider this unfortunate.
   1. Demand paging is a fine term and is quite descriptive
   2. Virtual memory ``should'' be used in contrast with physical memory to describe any virtual to physical address translation.

** (non-demand) Paging

Simplest scheme to remove the requirement of contiguous physical memory.

• Chop the program into fixed size pieces called pages (invisible to the programmer).
• Chop the real memory into fixed size pieces called page frames or simply frames.
• Size of a page (the page size) = size of a frame (the frame size).
• Sprinkle the pages into the frames.
• Keep a table (called the page table) having an entry for each page. The page table entry or PTE for page p contains the number of the frame f that contains page p.