With the development of computers, researchers have gathered special interest in the algorithmic aspects of mathematics. Due to this graph models have emerged as a necessary and important tool for solving real-world problems. Algorithmic solutions to the graphical problems have large number of applications. Its area of applications ranges from VLSI circuit design to scheduling, from resource allocation to physical mapping of DNA. If we look at the mathematical aspect, graph classes have provided rich soil for deep theoretical results which provide a deep insight into the problems related to artificial intelligence to pavement deterioration analysis. This paper intends to highlight the significance of graph theory in solving the real world problems by presenting some of the existing applications with special emphasis on operations research and computer science.
Today world is making rapid progress on the path, towards the utilization of technical applications in the field of education. This is particularly true in the area of distance education, as the possibilities of its realization and growth have multiplied in ways not possible in the past. Video conferencing is a two-way connection between the teacher and the students at two or more locations through audio and video equipment. Out of all the available distance teaching technologies, video conferencing is very similar to the formal classroom teaching and therefore includes a very important element of teaching-learning process. However, there are a few key differences in the teaching and learning process that require attention for faculty and students to use video conferencing successfully. This paper studies the elements of distance education and role of e-learning (particularly the video conferencing) in benefiting the students via distance education.
In global market, where demand as well as the cost fluctuates rapidly, whereas the inventory holding capacity and capital to be invested doesn't change at the same pace; long term planning seems reasonable to avoid any loss either due to overstocking the inventory or due to stock-outs. This paper presents proposes a deterministic mathematical model to effectively control the inventory holdings. Proposed model considers the periodic fluctuations in demand and cost that affect the cost and quantity of inventory holding under the constraint that available storage space is limited. It minimizes the total cost of inventory in a given period of time and without any shortages.
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