A method using a linear program for adjusting clock delays in individual flip-flops to minimize the clock period through the use of wave pipelining is discussed. Edge-triggered flip-flops are used as the circuit memory elements, and controlled delays are introduced in the time of clock signal arrivals at these elements. Constraints that relate the logic path delays from pairs of input flip-flops are derived. These constraints, in addition to known constraints relating input and output flip-flops, prevent destructive logic signal propagation interference. It is shown that in circuits without feedback the clock period reduction is limited by the shortest paths in the logic and the required signal separation between signals of distinct cycles. Application of this technique to logic with feedback is discussed.>

The layer assignment problem arises in printed circuit board (PCB) and integrated circuit (IC) design. It involves the assignment of interconnect wiring to various planes of a PCB or to various layers of interconnect wires in an IC. This paper reviews basic techniques for layer assignment in both PCBs and ICs. Two types of layer assignment are considered: (1) constrained layer assignment in which routing of interconnections is given and the objective is to assign wires to specific layers, and (2) unconstrained, or topological, layer assignment, in which both the physical routing of interconnections and assignment of the wires to layers is sought. Various objective functions, such as via minimization and minimization of signal delays through interconnect lines are discussed.>

A linear program is used to direct the placement of Standard Cells such that the clock period is minimized.Constraints upon the logic path delays and the clock signal arrival times at the flipflops allow multiple signals, corresponding to several clock cycles, to exist simultaneously on the logic signal paths during operation.The linear program constraints relate the clock period to the maximum and minimum logic path delays.Delays are achieved in the clock and logic paths by the use of delay elements and resistive polysilicon wires in the interconnection network.