In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...

In this paper we consider bi-criteria scheduling problem on parallel machines which optimizes the number of tardy jobs with the condition of primary criterion of Tmax remains optimized. The processing times of jobs are uncertain that is not known exactly and only estimated values are given. This leads to the use of fuzzy numbers for representing these imprecise values. Here, we use triangular f...

Received (received date) Revised (revised date) In this paper a technique is proposed to tolerate missing values based on a system of fuzzy rules for classiication. The presented method is mathematically solid but nevertheless easy and eecient to implement. Three possible applications of this methodology are outlined: the classiication of patterns with an incomplete feature vector, the completi...

This paper constitutes a first step towards an extension of correspondence analysis with fuzzy data (FCA). At this stage, our main objective is to lay down the algebraic foundations for this fuzzy extension of the usual correspondence analysis. A two-step method is introduced to convert the fuzzy eigenvalue problem to an ordinary one. We consider a fuzzy matrix as the set of its cuts. Each such...

Queuing theory is the one of the classical mathematical tool for study waiting lines or queues. In queuing theory a mathematical model is constructed to find various queue characteristics like average waiting time, mean queue length and number of the customers etc. Infact, waiting for service in queues has become an integral part of our daily life. Queues are often undesirable as they cost time...

This paper considers the single machine scheduling problem with precedence constraints and deteriorating jobs. A mathematical model based on binary integer programming (BIP) is developed. By these precedence constraints, jobs can not start before completion of its all predecessors. The represented model is in two steps, in step one the earliest starting time of each job is computed, then the re...

The belief that the project manager, a person in charge of the project management (PM), plays a very important role to handle conflicting goals with the usage of all resources through the organization is without doubt. The main purpose of the project management is to minimize total project and crashing cost with the reference to both direct and indirect cost and other related constraints simult...