Using Interval Parameters for Latest Start Time and Mission Floats Operation Networks

Abstract

In Critical Path Method (CPM), the project managers usually use three quantities; earliest start, latest start and job float for project networking problems. However, interval parameters are used for project scheduling problems dealing with the uncertainties. In this paper, we suggest a new approach for computing the interval time duration of a project networking problem without transforming to crisp equivalent forms. First the interval parameters are represented in their midpoint width form. A new type of arithmetic operations and ranking are applied on the midpoint width form of interval numbers, earliest start, latest start, earliest finish, latest finish and float time are calculated. Interval critical path is identified and the project completion tine is arrived. Numerical description is supplied to describe the method proposed in depth and the results obtained are compared with the existing methods.

A study on the solution of interval linear fractional programming problem

“…However, in the context of lattice L, fuzziness index functions are designed to adhere to lattice laws, particularly the least upper bound and greatest lower bound operations within the lattice L. To clarify, for any elements x and y belonging to the lattice L, we define x ∨ y = max{x, y} and x ∧ y = min{x, y}. For any two intervals x, ỹ ∈ IR and for * ∈ {+, −, •, ÷}, the arithmetic operations on IR [24] is defined as:…”