Interpolating Construction Projects Escalations from Egwunatum’s Time-Cost Equilibrial
Interpolating Construction Projects Escalations from Egwunatum’s Time-Cost Equilibrial

Summary/Abstract: This paper identified the limitations of time-cost escalation measurements in reputable literature to be para-subjective in their analytic forms, and may not necessarily give credence to a potential claim situation. Motivated by the above gap, a conceptual theory was built on the congruency of jump functions with time-cost escalation. The theory moved from a novel definition of time-cost escalation as an arbitrary step-wise movement of time and cost in opposite axis and drew a construct of their discontinuities from an ordered process as a jump. Identifying the jump region using mind’s eye and thought experiment required that a performance and progress measurements of an ordered process are interfaced. The intercept of the interface showed an Egwunatum time-cost equilibrial which portends a region for escalation. A distribution function for the jump region was theorized from Kelzon jump determination and Kvernadze trigonometric interpolation and its measurability proved on the basis of Schmuland and Saz’s proposition. The paper concluded that the measuring points of time-cost escalations are by interpolation at points (Tf1 – Tg1) (Tf2 – Tg2) (Cf1 – Cg1) and (Cf2 – Cg2) (Tf1 – Tg1) (Tf2 – Tg2) (Cf1 –Cg1) and (Cf2 – Cg2).

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