Index Sets: S Index set of candidate distribution facility locations Parameters: m Number of selected distribution facilities ${\stackrel{^}{d}}_{js}$ Distance between warehouse location j and distribution facility s (in miles) ${\stackrel{˜}{d}}_{sk}$ Distance between distribution facility s and demand locations k (in miles) ${\stackrel{^}{c}}_{js}$ FTL cost per truck from warehouse j to distribution facility s (in $/mile) ${\stackrel{˜}{c}}_{sk}^{1}$ FTL cost per truck from distribution facility s to demand location k (in$/mile) ${\stackrel{˜}{c}}_{sk}^{2}$ LTL cost per pound from distribution facility s to demand location k (in $/lbs.) ${\stackrel{˜}{c}}_{sk}^{3}$ Cost of courier shipment from distribution facility s to demand location k (in$) Decision Variables: ${\stackrel{^}{f}}_{jsl}$ Quantity of product l from warehouse j to distribution facility s (in lbs.) ${\stackrel{˜}{f}}_{skl}$ Quantity of product l from distribution facility s to demand location k (in lbs.) ${\stackrel{^}{t}}_{js}$ Number of FTL trucks from warehouse location j to distribution facility s (in trucks) ${\stackrel{˜}{t}}_{sk}^{1}$ Number of FTL trucks from distribution facility s to demand location k (in trucks) ${\stackrel{˜}{t}}_{sk}^{2}$ Weight of LTL from distribution facility s to demand location k (in lbs.) ${\stackrel{˜}{x}}_{s}$ $=\left\{\begin{array}{l}1\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ifthereisanoperatingdistributionfacilityat}s\\ 0\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{otherwise}\end{array}$ ${\stackrel{^}{z}}_{js}$ $=\left\{\begin{array}{l}1\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ifanoperatingwarehouseat}\text{\hspace{0.17em}}j\text{\hspace{0.17em}}\text{servesanoperatingdistributionfacilityat}\text{\hspace{0.17em}}s\\ 0\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{otherwise}\end{array}$ ${\stackrel{˜}{y}}_{sk}$ $=\left\{\begin{array}{l}1\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{iftheoperatingdistributionfacilityat}s\text{servesdemandlocation}\text{\hspace{0.17em}}k\\ 0\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{otherwise}\end{array}$