Gasoline Blending and Distribution Scheduling: An MILP Model

Synonyms Indices i = orders j = productstock tanks s = products k = components l = component tanks n = event points Sets I = orders Ij = orders which can be performed in productstock tank j Is = orders which order product s J = productstock tanks Ji = productstock tanks which are suitable for performing order i Js = productstock tanks which can store product s N = event points within the time horizon S = products Sj = products which can be stored in productstock tank j K = components Kl = components which can be stored in componentstock tank l L = componentstock tanks Lk = componentstock tanks which can store component k Parameters Vmax(j) = maximum capacity of productstock tank j Vmin(j) = minimum amount of product stored in tank j if tank j is utilized Vinitial(j,s) = amount of product s stored in tank j initially Vin(l,k) = amount of component k stored in comp. tank l initially Vcomp(l) = maximum capacity of comp. tank l Recipe(s,k) = the proportion of component k to in product s l(i) = lifting rate of order i Bflow = flow rate of product being produced and transferred to productstock tanks Prod srt(i) = time by which order i can start Prod end(i) = time by which order i is due U1 = lower bound on the amount of product lifted U2 = upper bound on the amount of product lifted U3 = upper bound of a small-size order U4 = upper bound of a medium-size order U5 = lower bound of a large-size order flowmin = minimum flow rate of component tanks flowmax = maximum flow rate of component tanks H = time horizon Variables