A new method for finding fuzzy optimal solution, the maximum total completion fuzzy time and fuzzy critical path for the given fully fuzzy critical path (FFCP) problems using crisp linear programming (LP) problem is proposed. In this proposed method, all the parameters are represented by triangular fuzzy number. The fuzzy optimal solution of the FFCP problems obtained by the proposed method, do...

This paper proposes a new method to solve fuzzy critical path problems for a project network with activity times being normalised trapezoidal fuzzy numbers. is solved successfully to demonstrate the validity of the proposed approach.

The method for finding fuzzy optimal solution of fully fuzzy critical path (FFCP) problems i.e., critical path problems in which all the parameters are represented by fuzzy numbers, is at best scant; possibly non-existent. In this paper, a method is proposed to find the fuzzy optimal solution of FFCP problems, together with a new representation of triangular fuzzy numbers. This paper will show ...

in this paper, we consider a stochastic time-cost tradeoff problem (tctp) in pert networks for project management, in which all activities are subjected to a linear cost function and assumed to be exponentially distributed. the aim of this problem is to maximize the project completion probability with a pre-known deadline to a predefined probability such that the required additional cost is min...

In a fuzzy project network, the higher risk path is called possible critical path. Secondary critical path is one of the possible critical path in fuzzy project network and it plays an important role in the project scheduling, risk analysis and time-cost trade-off problems in fuzzy environment. In this paper, triangular fuzzy numbers are used to express the operation times for all activities in...

The purpose of the critical path method (CPM) is to identify the critical activities in the critical path of an activity network. In the real world for many projects we have to use human judgment for estimating the duration of activities. However, the unknowns or vagueness about the time duration for activities in network planning, has led to the development of fuzzy CPM. A way to deal with thi...

The Critical Path Method (CPM) is a vital tool for the planning and control of complex projects. The successful implementation of CPM requires the availability of a clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfill since many of activities will be executed for the first time. Hence, there is always uncertainty about th...

This paper presents the design, implementation and testing of the critical path analysis technique on the IPS performance measurement tool for parallel and distributed programs. We create a precedence graph of a program’s activities (Program Activity Graph) with the data collected during the execution of a program. The critical path, the longest path in the program activity graph, represents th...

When a company is faced with an extremely large vehicle routing problem, an interesting option is to divide the customers into zones and perform the routing using the zones rather than the individual customers. Although this greatly reduces the complexity of the original routing problem, customers within each zone still have to be scheduled. In this paper we discuss the shortest pre-Hamiltonian...