Production schedulingandvehicleroutingwithtimewindowsforperishable food products

We proposeanonlinearmathematicalmodeltoconsiderproductionschedulingandvehiclerouting with timewindowsforperishablefoodproductsinthesameframework.Thedemandsatretailersare assumed stochasticandperishablegoodswilldeteriorateoncetheywereproduced.Thustherevenueof the supplierisuncertainanddependsonthevalueandthetransactionquantityofperishableproducts when theyarecarriedtoretailers.Theobjectiveofthismodelistomaximizetheexpectedtotalprofitof the supplier.Theoptimalproductionquantities,thetimetostartproducingandthevehicleroutescan be determinedinthemodelsimultaneously.Furthermore,weelaborateasolutionalgorithmcomposed of theconstrainedNelder–Meadmethodandaheuristicforthevehicleroutingwithtimewindowsto solve thecomplexproblem.Computationalresultsindicateouralgorithmiseffectiveandefficient.