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By G. Ausiello, M. Lucertini, P. Serafini (eds.)

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SIAM J. Appl. , 1976. 44 [15] M. Lucertini CHU: Optimal file allocation in a computer network. ), Prentice Hall, 1973. [16] CHU, HOLLOWAY, LAN, EFE: Task allocation in distributed data processing Computer, 1980. [17] CIOFFI, COSTANTINI, DE JULIO: A new approach to the decomposition of sequential systems. Digital Processes, 1977. [18] CIOFFI, DE JULIO, LUCERTINI: Optimal decomposition of sequential machines via integer non-linear programming: a computational algorithm. Digital Processes, 1979. [19] COMEAU: A study of user program optimization ~n a paging system.

Johnson 58 bins in exactly the order they are given in the original list, without using any knowledge about subsequent items in the list. FIRST FIT DECREASING, for example, is not an on-line algorithm, since it first re-orders the list. On-line algorithms may be the only ones that can be used in certain situations, where the items to be packed are arriving in a sequence according to some physical process and must be assigned to a bin as soon as they arrive. Thus, although it is known that "offline" algorithms such as FFD can do much better than FIRST FIT, it is of interest to determine the best worst-case performance that anyon-line algorithm can have.

The problem is to use the minimum number of standard lengths in accommodating a given list of required pieces. Problems in which time is the dimension (resource) being partitioned are represented by the following scheduling problem: We are given a collection of identical processors on which a set of independent tasks with known execution times are to be executed. The problem is to determine the least number of processors that must be used in order that all tasks be completed by some given deadline.

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