Optimization of Space Utilization of Hu Sheep Captivity
To increase the space utilization rate in captive farms of large-scale Hu sheep,a study is conduct-ed based on the characteristics of reproduction and fattening of Hu sheep,as well as the specifications and user requirements of standard sheep pens.Any period of 229 consecutive days under the condition of continuous production is selected for the analysis with the number of ewe pens(or the number of groups,or the number of sheep)and the number of rams arranged for natural mating every day as the decision variables.According to the assumptions such as the breeding period and the fattening period,the relationship between the number of pens used and the decision variables are identified,and the constraints such as the number of pens used,the proportion of rams and basic ewes,and the number of breeding rams required during the mating period are established.Then a model of integer linear programming is built to obtain the numbers of breeding rams and basic ewes,and the feasible scheme of how to use pens.Through further analysis,verification and comparison,the production plan and the pen-using scheme aimied to achieve the largest annual number of sheep slaughtered under the condition of continuous production are determined.
captivity of Hu sheepinteger optimization modelproduction plansystem of linear equations