TY - JOUR
T1 - The Budget Constrained Multi-Product Newsboy Problem with Reactive Production: A Problem from Entrepreneurial Network Construction
AU - Li , Wenjin
AU - Pang , Yanni
JO - Communications in Mathematical Research 
VL - 2
SP - 97
EP - 107
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19052.html
KW - newsboy problem, entrepreneurial network, construction, multi-product,
budget constrained, reactive production, homotopy method.
AB - <p style="text-align: justify;">This paper develops an extended newsboy model and presents a formulation for this model. This new model has solved the budget contained multi-product
newsboy problem with the reactive production. This model can be used to describe
the status of entrepreneurial network construction. We use the Lagrange multiplier
procedure to deal with our problem, but it is too complicated to get the exact solution. So we introduce the homotopy method to deal with it. We give the flow chart
to describe how to get the solution via the homotopy method. We also illustrate our
model in both the classical procedure and the homotopy method. Comparing the two
methods, we can see that the homotopy method is more exact and efficient.</p>