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New Researches in Biotechnology - Facultatea de Biotehnologii ...

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Proceed<strong>in</strong>g of the 4 rd International Symposium“NEW RESEARCH IN BIOTECHNOLOGY” USAMV Bucharest, Romania, 2011THE MATHEMATICAL MODELING IN OPTIMIZATION OFREFRIGERATION PROCESS1, 2, 3Faculty of <strong>Biotechnology</strong>, U.S.A.M.V., BucharestMioara Varga 1 , Mira Turtoi 2 , Mihaela Ghidurus 3Abstract. In recent <strong>de</strong>ca<strong>de</strong>s there is a cont<strong>in</strong>u<strong>in</strong>g concern <strong>in</strong> the food <strong>in</strong>dustry for optimization ofrefrigeration process. Improvement of conservation technologies of perishable food products has asprimary objective the comb<strong>in</strong>ation of capabilities extend<strong>in</strong>g the validity of the product with keepphysical, chemical, nutritional and sensory properties. The mathematical mo<strong>de</strong>l<strong>in</strong>g is a fundamentalsolution to which appeals most often to optimize a random process, <strong>in</strong>clud<strong>in</strong>g the refrigeration.In the first part of this paper we present the ma<strong>in</strong> theoretical elements that characterize theoptimization process us<strong>in</strong>g certa<strong>in</strong> mathematical mo<strong>de</strong>ls. Then, we apply the theoretical conceptspreviously presented to optimize two refrigeration processes.Keywords: mathematical mo<strong>de</strong>l, stochastic optimization, evolutionary method1. INTRODUCTIONIt is known that refrigeration has a key role <strong>in</strong> food safety; at present there areseveral technologies that apply conservation of perishable food products (radiation, dry<strong>in</strong>g,cur<strong>in</strong>g, high-pressure process<strong>in</strong>g and conservation). With these techniques is <strong>in</strong>ten<strong>de</strong>dprimarily to extend the comb<strong>in</strong>ed capacity of validity of the product, while ma<strong>in</strong>ta<strong>in</strong><strong>in</strong>g thephysical, chemical, nutritional and sensory qualities, the objective be<strong>in</strong>g pursued <strong>in</strong> thesame way by both consumers and manufacturers of refrigeration systems.An important consequence of the wi<strong>de</strong>spread use of refrigeration systems is toensure better nutrition worldwi<strong>de</strong> both <strong>in</strong> terms of quantity and quality of perishable food.In terms of quality, it should be emphasized that chill<strong>in</strong>g leads to reduce damage to vitalfood of animal and vegetable nature (which can accommodate different pathogens) andhence the <strong>de</strong>cl<strong>in</strong>e <strong>in</strong> bacterial growth.The above are some arguments that justify the importance accor<strong>de</strong>d to refrigerationprocesses. Permanent concern of researchers for optimiz<strong>in</strong>g food refrigeration processes isso logical, although until now small steps have been taken <strong>in</strong> this direction. Tradition,certa<strong>in</strong> regulations <strong>in</strong> the field, the criteria by which food or processes are structured as anoptimization problem (choice of objective function and non-quantitative <strong>de</strong>f<strong>in</strong>ition ofvariables subject to large errors), contributed to the <strong>de</strong>velopment of <strong>in</strong>terest <strong>in</strong> this directionof the food <strong>in</strong>dustry.In recent years there have been several studies to mo<strong>de</strong>l<strong>in</strong>g food processes thatenable some products that were <strong>in</strong>tangible qualities such as taste, ten<strong>de</strong>rness, color, safetyand other quality factors to be quantifiable and predictable.Data process<strong>in</strong>g techniques have evolved through improved observation,experiments gave errors and time consum<strong>in</strong>g, and mathematical mo<strong>de</strong>l<strong>in</strong>g has become themethod most often used for optimization of refrigeration processes.105

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