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Research and Advances

On-the-fly garbage collection: an exercise in cooperation

As an example of cooperation between sequential processes with very little mutual interference despite frequent manipulations of a large shared data space, a technique is developed which allows nearly all of the activity needed for garbage detection and collection to be performed by an additional processor operating concurrently with the processor devoted to the computation proper. Exclusion and synchronization constraints have been kept as weak as could be achieved; the severe complexities engendered by doing so are illustrated.
Research and Advances

Performance evaluation of highly concurrent computers by deterministic simulation

Simulation is presented as a practical technique for performance evaluation of alternative configurations of highly concurrent computers. A technique is described for constructing a detailed deterministic simulation model of a system. In the model a control stream replaces the instruction and data streams of the real system. Simulation of the system model yields the timing and resource usage statistics needed for performance evaluation, without the necessity of emulating the system. As a case study, the implementation of a simulator of a model of the CPU-memory subsystem of the IBM 360/91 is described. The results of evaluating some alternative system designs are discussed. The experiments reveal that, for the case study, the major bottlenecks in the system are the memory unit and the fixed point unit. Further, it appears that many of the sophisticated pipelining and buffering techniques implemented in the architecture of the IBM 360/91 are of little value when high-speed (cache) memory is used, as in the IBM 360/195.
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Research and Advances

Systems design education: a gaming approach

One of the problems facing managers of computer installations is the problem of configuring the computer system to meet the demands made by the mix of jobs that the computer center must service, This paper presents a management game that allows the player to configure a computer system to meet a hypothetical job mix. The job mix is under the control of a game administrator and can be varied to simulate a variety of real-world situations (I/0 bound jobs, compute bound jobs, etc.). The player of the game receives a set of detailed reports on the cost of his choices and a simulated run of the center operating under his choices.
Research and Advances

Using synthetic images to register real images with surface models

A number of image analysis tasks can benefit from registration of the image with a model of the surface being imaged. Automatic navigation using visible light or radar images requires exact alignment of such images with digital terrain models. In addition, automatic classification of terrain, using satellite imagery, requires such alignment to deal correctly with the effects of varying sun angle and surface slope. Even inspection techniques for certain industrial parts may be improved by this means. We achieve the required alignment by matching the real image with a synthetic image obtained from a surface model and known positions of the light sources. The synthetic image intensity is calculated using the reflectance map, a convenient way of describing surface reflection as a function of surface gradient. We illustrate the technique using LANDSAT images and digital terrain models.
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Research and Advances

Median split trees: a fast lookup technique for frequently occuring keys

Split trees are a new technique for searching sets of keys with highly skewed frequency distributions. A split tree is a binary search tree each node of which contains two key values—a node value which is a maximally frequent key in that subtree, and a split value which partitions the remaining keys (with respect to their lexical ordering) between the left and right subtrees. A median split tree (MST) uses the lexical median of a node's descendents as its split value to force the search tree to be perfectly balanced, achieving both a space efficient representation of the tree and high search speed. Unlike frequency ordered binary search trees, the cost of a successful search of an MST is log n bounded and very stable around minimal values. Further, an MST can be built for a given key ordering and set of frequencies in time n log n, as opposed to n2 for an optimum binary search tree. A discussion of the application of MST's to dictionary lookup for English is presented, and the performance obtained is contrasted with that of other techniques.
Research and Advances

Synthesizing constraint expressions

A constraint network representation is presented for a combinatorial search problem: finding values for a set of variables subject to a set of constraints. A theory of consistency levels in such networks is formulated, which is related to problems of backtrack tree search efficiency. An algorithm is developed that can achieve any level of consistency desired, in order to preprocess the problem for subsequent backtrack search, or to function as an alternative to backtrack search by explicitly determining all solutions.
Research and Advances

Cold-start vs. warm-start miss ratios

In a two-level computer storage hierarchy, miss ratio measurements are often made from a “cold start”, that is, made with the first-level store initially empty. For large capacities the effect on the measured miss ratio of the misses incurred while filling the first-level store can be significant, even for long reference strings. Use of “warm-start” rather than “cold-start” miss ratios cast doubt on the widespread belief that the observed “S-shape” of lifetime (reciprocal of miss ratio) versus capacity curve indicates a property of behavior of programs that maintain a constant number of pages in main storage. On the other hand, if cold-start miss ratios are measured as a function of capacity and measurement length, then they are useful in studying systems in which operation of a program is periodically interrupted by task switches. It is shown how to obtain, under simple assumptions, the cache miss ratio for multiprogramming from cold-start miss ratio values and how to obtain approximate cold-start miss ratios from warm-start miss ratios.
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Research and Advances

Packed scatter tables

Scatter tables for open addressing benefit from recursive entry displacements, cutoffs for unsuccessful searches, and auxiliary cost functions. Compared with conventional methods, the new techniques provide substantially improved tables that resemble exact-solution optimal packings. The displacements are depth-limited approximations to an enumerative (exhaustive) optimization, although packing costs remain linear—O(n)—with table size n. The techniques are primarily suited for important fixed (but possibly quite large) tables for which reference frequencies may be known: op-code tables, spelling dictionaries, access arrays. Introduction of frequency weights further improves retrievals, but the enhancement may degrade cutoffs.
Research and Advances

Jump searching: a fast sequential search technique

When sequential file structures must be used and binary searching is not feasible, jump searching becomes an appealing alternative. This paper explores variants of the classic jump searching scheme where the optimum jump size is the square root of the number of records. Multiple level and variable size jump strategies are explored, appropriate applications are discussed and performance is evaluated.
Research and Advances

Models for parallel processing within programs: application to CPU: I/O and I/O: I/O overlap

Approximate queueing models for internal parallel processing by individual programs in a multiprogrammed system are developed in this paper. The solution technique is developed by network decomposition. The models are formulated in terms of CPU:I/O and I/O:I/O overlap and applied to the analysis of these problems. The percentage performance improvement from CPU:I/O overlap is found to be greatest for systems which are in approximate CPU:I/O utilization balance and for low degrees of multiprogramming. The percentage improvement from I/O:I/O overlap is found to be greatest for systems in which the I/O system is more utilized than the CPU.
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Research and Advances

An analysis of algorithms for the Dutch National Flag Problem

Solutions to the Dutch National Flag Problem have been given by Dijkstra [1] and Meyer [3]. Dijkstra starts with a simple program and arrives at an improved program by refinement. Both of the algorithms given by Dijkstra are shown to have an expected number of swaps which is 2/3N + &thgr;(1) and that these values differ at most by 1/3 of a swap and asymptotically by 1/4 of a swap. The algorithm of Meyer is shown to have expected swap complexity 5/9 N.
Research and Advances

Optimal histogram matching by monotone gray level transformation

This paper investigates the problem of optimal histogram matching using monotone gray level transformation, which always assigns all picture points of a given gray level i to another gray level T(i) such that if i ≥ j, then T(i) ≥ T(j). The objective is to find a transformed digital picture of a given picture such that the sum of absolute errors between the gray level histogram of the transformed picture and that of a reference picture is minimized. This is equivalent to placing k1 linearly ordered objects of different sizes one by one into k2 linearly ordered boxes of assorted sizes, such that the accumulated error of space underpacked or overpacked in the boxes is minimized; the placement function is monotonic, which ensures a polynomial time solution to this problem. A tree search algorithm for optimal histogram matching is presented which has time complexity O(k1 × k2). If the monotone property is dropped, then the problem becomes NP-complete, even if it is restricted to k2 = 2.
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Research and Advances

Implementing Quicksort programs

This paper is a practical study of how to implement the Quicksort sorting algorithm and its best variants on real computers, including how to apply various code optimization techniques. A detailed implementation combining the most effective improvements to Quicksort is given, along with a discussion of how to implement it in assembly language. Analytic results describing the performance of the programs are summarized. A variety of special situations are considered from a practical standpoint to illustrate Quicksort's wide applicability as an internal sorting method which requires negligible extra storage.
Research and Advances

Fortran 77

There is a new standard Fortran. The official title is “American National Standard Programming Language Fortran, X3.9-1978,” but it is more commonly referred to as “Fortran 77,” since its development was completed in 1977. It replaces the Fortran standard designated X3.9-1966. This paper describes many of the features of Fortran 77 and also provides some information about how and why the standard was developed.
Research and Advances

A comparison of heaps and the TL structure for the simulation event set

Following publication of our paper [2], questions arose with respect to the superiority of the TL structure over heaps,1 particularly in the face of the remarks of Gonnet [3], concerning the use of heaps for the physical realization of the simulation event set. Gonnet's communication was in response to the Vaucher and Duval paper [5], and suggested the heap to be a more efficient structure than any proposed in [5]. As regards a comparison of heaps and the TL structure we can make the following remarks:
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Research and Advances

An algorithm using symbolic techniques for the Bel-Petrov classification of gravitational fields

In this note, an algorithm is presented for the symbolic calculation of certain algebraic invariants of the Weyl tensor which permits the determination of the Bel-Petrov types of a gravitational field. This algorithm, although more specialized than that of D'Inverno and Russell-Clark, requires neither the use of a special coordinate system nor the spin coefficient formalism. The algorithm has been implemented in FORMAC and is designed to complete the classification scheme proposed by Petrov in his book. An appendix contains examples illustrating the use of the algorithm.
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Research and Advances

Generalized working sets for segment reference strings

The working-set concept is extended for programs that reference segments of different sizes. The generalized working-set policy (GWS) keeps as its resident set those segments whose retention costs do not exceed their retrieval costs. The GWS is a model for the entire class of demand-fetching memory policies that satisfy a resident-set inclusion property. A generalized optimal policy (GOPT) is also defined; at its operating points it minimizes aggregated retention and swapping costs. Special cases of the cost structure allow GWS and GOPT to simulate any known stack algorithm, the working set, and VMIN. Efficient procedures for computing demand curves showing swapping load as a function of memory usage are developed for GWS and GOPT policies. Empirical data from an actual system are included.
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