Hospital transportation case..docx - Sonia Yang U162258,...

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Sonia Yang U162258, Jingjie Ye U159826 and Zhidan Zhou U148358OPERATIONS RESEARCHHOMEWORK 4Internet Case - Northwest General HospitalNorthwest General HospitalThe parametersDistribution time (minutes)ToWing 1Wing 2Wing 3Wing 4Wing 5Wing 6CapacityFromStation5A12118966200Station3G6127758225Station 1S896679275Patients801201502106080700/700Total supply700Total demand700Decision Variables:Xij = number of meals delivered from Serving station i to Wing j(i = 1, 2, 3, with 1 = Station 5A, 2 = Station 3G, 3 = Station 1S)(j = 1, 2, 3, 4, 5, 6, with 1 = Wing 1, 2 = Wing 2, 3 = Wing 3, 4 = Wing 4, 5 = Wing 5, 6 = Wing 6)Objective Function:Minimize total minutes:Min. 12X11 + 11X12 + 8X13 + 9X14 + 6X15 + 6X16 + 6X21 + 12X22 + 7X23 + 7X24 + 5X25 +8X26 + 8X31 + 9X32 + 6X33 + 6X34 + 7X35 + 9X36Constraints:The model is subject to.:1.Demand constraintsWing 1X11 + X21 + X31 = 80Wing 2X12 + X22 + X32 =120Wing 3X13 + X23 + X33 = 150Wing 4X14 + X24 + X34 =210Wing 5X15 + X25 + X35 = 60Wing 6X16 + X26 + X36 = 802.Capacity constraintsStation5AX11 + X12 + X13 + X14+ X15+ X16 ≤ 200StationX21 + X22 + X23 + X24+ X25+ X26 ≤ 225
Sonia Yang U162258, Jingjie Ye U159826 and Zhidan Zhou U148358
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Term
Winter
Professor
Victoria Vanasco
Tags
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