Abstract
The number of microorganisms and chemical values of the milks separated according to their quality are different from each other. In case of mixing different quality types of milk, composed milk quality is considered equal to the lowest quality milk type among the types of milk added to the mixture. Therefore, different types of raw milk should not be mixed during collection. The problem of milk collection is related to the collection of raw milk, which is separated according to the quality types, from the producers at different points by multi-tank tankers. In this study, an integrated mathematical model has been developed to collect different quality types of raw milk at different points under the specified time limit by means of tankers having multiple tanks. The results obtained by solving a hypothetical case study with ILOG CPLEX show that proposed model allows to optimally collect different type of raw milks without mixing. Thus, it will be possible to produce higher quality dairy products.
Highlights
Milk which has a very significant role in everyday nourishment can be very harmful to human health unless produced, stored, collected and processed in hygienic conditions.Milk collection problem (MCP) is basically concerned with the collection of raw milk with different qualities at dairy factories via tankers under problem specific constraints
A hypothetical case study test model based on real-life data was designed, for the measure of the model performance by using
Milk collection problem is considered as an integrated model for the first time in the literature
Summary
Milk which has a very significant role in everyday nourishment can be very harmful to human health unless produced, stored, collected and processed in hygienic conditions.Milk collection problem (MCP) is basically concerned with the collection of raw milk with different qualities at dairy factories via tankers under problem specific constraints. In addition to vehicle routing constraints, some important constraints specific to milk collection problem were considered. An integrated mathematical model that provides a multi-product multi-compartment vehicle routing problem with split deliveries has been developed for the first time in the literature.
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