DISCRETE-CONTINUOUS MODEL OF SALES MANAGEMENT IN REAL TIME

نویسندگان

چکیده

The subject of the research is development a strategy for dynamic price management when selling products over fixed time interval. We consider case demand seller's can be represented as combination two random processes: 1) Poisson flow potential consumers; 2) purchase goods by an individual consumer, probability which inversely related to product. Consumers need at most one unit good and have independent equally distributed estimates its consumer value. Such structure allows formalize choice optimal pricing control problem. Employing programming methods solving this problem yields system Riccati differential equations. solution obtained in closedloop form function expiration product value unsold inventory levels. Examples practical are given special cases it possible find analytical solution. For general case, shown how prices using numerical methods. Calculations show that decreasing functions these factors, together with nature sales, leads rather complex observed trajectories, examples were computer simulations. In particular, many cases, implementation proposed results cyclical behavior, prevalence retail well documented. optimizing expected income seller constant was also solved. Comparison under static indicates significant advantage latter. economic effect near

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ژورنال

عنوان ژورنال: Vestnik Nacional?nogo tehni?eskogo universiteta "HPI"

سال: 2022

ISSN: ['2079-0775']

DOI: https://doi.org/10.20998/2079-0023.2022.02.10