Shodhganga Collection:http://hdl.handle.net/10603/88102021-09-16T15:54:53Z2021-09-16T15:54:53ZOptimal / heuristic approach in solving certain production scheduling problems in fuzzy and non fuzzy environmenthttp://hdl.handle.net/10603/89612015-12-04T16:07:27Z2013-05-17T00:00:00ZTitle: Optimal / heuristic approach in solving certain production scheduling problems in fuzzy and non fuzzy environment
Abstract: The present thesis entitled Optimal / Heuristic Approach in Solving
newlineCertain Production Scheduling Problems in Fuzzy and Non Fuzzy
newlineEnvironment consists of 7 chapters as a whole. The work embedded in this thesis is devoted to the least time and least cost scheduling problems. The models related to the Satisfaction level of demand maker, various performance measures under deterministic, probabilistic and fuzzy environment, which is more or less applied in industries, production concerns, manufacture processes and in real world situations in order to minimize the production cost. The summary of the thesis at a glance is as follows: Chapter-1 Basics, Development and Brief Survey of Scheduling Problems is introductory, which deals with the origin of operation research, conceptual development of scheduling theory with realistic applications, mathematical techniques and improvement technology used in the current scheduling problems. This chapter is classified into various sections in sequential manner such as: Classification of scheduling problem, Performance measures, component of production cost, concept of fuzzy logic and fuzzy scheduling mathematical techniques used in solving scheduling problems and historical survey etc. Chapter-2 Analysis of Satisfaction level of demand maker in scheduling under fuzzy environment is bi-objective, as it presents an analytical study regarding completion time and due time of each job in order to find the satisfaction level of demand maker in scheduling under fuzzy environment as well as it minimizes the earliness and lateness penalties in a flowshop production process in 2-stage, 3-stage and general n- stage flow shopproblems. This chapter is divided into three sections: section 2.1 presents a heuristic algorithm for n jobs and 2 machines production scheduling taking processing time of jobs in fuzzy environment. The section 2.2 is the extended work of section 2.1 as the problem discussed here is on 3 machines with an additional parameter of transportation time of jobs.2013-05-17T00:00:00ZInvestigations on certain cosmological models of general theory of relativity for existence of dark matter in the universe due to variable constantshttp://hdl.handle.net/10603/88112018-07-09T06:03:21Z2013-05-15T00:00:00ZTitle: Investigations on certain cosmological models of general theory of relativity for existence of dark matter in the universe due to variable constants
Abstract: The main objective of the thesis is to construct and analyse some suitable cosmological models along with numerous cosmological consequences with Dark Matter in the universe on the basis of the field equations governing the gravity as proposed by Berman and Rahman et al. recently. This thesis is divided in ten chapters. In Chapter-1, Theory of Cosmology has been discussed along with cosmology time line, Mathematical discovery of the universe, theory of variable G and variable and#923; with observational constraints. In the last section world-metric and linkage between evolutions scenario of cosmological model and space curvature is given. In 1915, Einstein proposed his General theory of Relativity (GTR) governing the gravity. He applied this theory to study the universe as a whole. For this he determined the space time metric which represents the universe as a whole. This model of universe is well known as Einstein s static model. For the construction of static model of the universe, the original form of the field equation of GTR is not suitable and therefore, Einstein introduced the cosmological term ij g L into his field equation calling it as Biggest blunder of my life . After the Hubble s experiments, a number of cosmological models have been constructed by many cosmologists with and without the cosmological term ij g L by taking positive sign of the cosmological constant (C.C.) or even its non-zero numerical value in general. In the same time those cases where the constant is nonzero, have mathematical interest more rather than the physical meaning. The spontaneous symmetry breaking results in a change in the temperature of the medium. This implies a dependence of the cosmological constant on time as may be seen in many cosmological models (discussed in detail in the thesis). In 1961, Brans and Dicke proposed the possibility of the existence of a long-range scalar field on the basis of the Mach s principle. This lead to propose that the constant of Gravitation G is not a constant2013-05-15T00:00:00Z