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Subject: Mathematics × Start date: 2017 × Thesis Type: M.Sc ×
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    ThesisItemOpen Access
    A study on simulation techniques for queuing problems
    (CCSHAU, Hisar, 2022-12-07) Monika; Poonia, Hemant
    An important branch of Operations Research (OR) is Queuing Theory is also known as theory of waiting lines. The waiting time management plays a crucial role in today‟s competitive arena for optimizing the resources of an organization. The study on “A Study on Simulation Techniques for Queuing Problems” was planned to develop a Monte Carlo queuing model for assessment of queues and to analyze the waiting time in the warehouse. The arrival and service data for a season was gathered from a Warehouse in Tohana, Haryana. The model was used to analyze the queue characteristics like average arrival rate, average waiting time in queue, time spends in system and queue length or average number of conveyors in queue. It was found that the average number of arrivals was 2.6 conveyors/hr, number of customers waiting to be served in the queue were 14, the waiting time of the conveyors in the queue was 5.4 hrs and average time spends in the system was 5.8 hrs. The adequacy of developed model was tested using Little‟s law and it was found that the arrival rate obtained from the warehouse data is approximately same as the arrival rate achieved from the simulation.
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    ThesisItemOpen Access
    Mathematical modeling for optimization of polyculture fish feed
    (CCSHAU, Hisar, 2021-09) Chetna; Tonk, Manju S.
    Linear programming is an important tool for optimization and shows considerable potential. It is a tool to find solution to a variety of very complex diet problems. In fish farming feed represents maximum of the production cost which increases cost of production. Nutritious diet plays an important role in fish farming for the optimal growth, health and life span of fish. The study on “Mathematical Modeling for optimization of polyculture fish feed” was planned to develop a linear programming model for feed formulation of polyculture fish farming. The data was collected from Dabra Shamsukh, Sundawas, Panihar chak,Rajli, Shahpur village and Bluebird lake of Hisar. The LP model based on farmer’s information was formulated and analyzed. The model suggested least cost composition with only one ingredient which was not practically acceptable because the farmers include all four ingredients. The model was modified using maximum/minimum constraints on ingredients quantity. Also the minimum nutrients’ constraints were relaxed. Three alternate feed plans were suggested for the polyculture fish (fry, fingerling and grower stage). The cost for farmer’s plan was found the highest in comparison to the other three stagewise feed mix plan. If the farmers use the recommendation of feed composition for fry which is maximum of all the three they can save at least ₹687.52 /100kg feed composition. Sensitivity analysis of the developed models showed minimum and maximum range of ingredients for feed mix, where the optimal LP solution will remain unchanged within these range of values of the ingredients