A Study on Sequencing Problem in Two Different Environments

Abstract

To represent uncertainty the fuzzy numbers are ideally suited. In the present paper, we have considered the sequence performance measurements and job mean flow time as fuzzy in nature. Using fuzzy technological values, we consider fuzzy sequencing problem in a different method. The concepts of Average High Ranking Method (AHRM) are considered. This idea is used to minimize the total cost in earliness (lateness) at fuzzy environment. It has been shown that fuzzy approaches are used to tackle uncertainty into processing of jobs very effectively. In the procedure to obtain completion time, fuzzy ranking technique and defuzzification methods are involved to compare the fuzzy numbers and to facilitate the effective deterministic algorithm to get the best solution. In the present work, we have compared Crisp sequencing problem and Fuzzy sequencing problem. To support our study, numerical examples are illustrated in this paper.